#dynamicalsystems — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #dynamicalsystems, aggregated by home.social.
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MVspa_ Stochastic processes
Стохастические процессы, Випадкові процеси
#Stochastic processes
#Стохастическиепроцессы, #Випадковіпроцеси
t.me/scilib_yura15cbx/230MVsa Statistics and applications
Статистика та додатки, Статистика и приложения
#Statistics
t.me/scilib_yura15cbx/229EM_ Mechanics of elastic materials
Механіка пружних матеріалів, Механика упругих материалов
t.me/scilib_yura15cbx/228MPd_ Dynamical systems
Динамические системы, Динамічні системи
#Dynamical systems
t.me/scilib_yura15cbx/227MNw_ Wavelets, signal processing
Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
#Wavelets, #signal processing
t.me/scilib_yura15cbx/226MNs_ Simulations of physics
Физические симуляции
t.me/scilib_yura15cbx/225MNl_ Numerical linear algebra
Числова лінійна алгебра, Численная линейная алгебра
t.me/scilib_yura15cbx/224MNf_ Finite elements
Конечные элементы, Скінченні елементи
t.me/scilib_yura15cbx/223MNd_ Numerical calculus
t.me/scilib_yura15cbx/222MDgt_ General topology
#topology
Общая топология, Загальна топологія
t.me/scilib_yura15cbx/221MDdg_ Differential geometry
Диференціальна геометрія, Дифференциальная геометрия
t.me/scilib_yura15cbx/220MDat_ Algebraic and differential topology
Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
t.me/scilib_yura15cbx/219MCv_ Variational calculus
Варіаційне числення, Вариационное исчисление
t.me/scilib_yura15cbx/218MCta_ Tensor calculus, forms
Тензорное исчисление, формы, Тензорне числення, форми
t.me/scilib_yura15cbx/217MCsf_ Special functions
Спеціальні функції, Специальные функции
t.me/scilib_yura15cbx/216MCf_ Functional analysis
Функциональный анализ, Функціональний аналіз
t.me/scilib_yura15cbx/215MCet_ Elementary calculus textbooks
Підручники з елементарного числення, Учебники по элементарному исчислению
t.me/scilib_yura15cbx/214MCde_ Differential equations
Дифференциальные уравнения, Диференціальні рівняння
#Differential equations
t.me/scilib_yura15cbx/213MCcf_ Continued fractions
Суцільні дроби, Непрерывные дроби
t.me/scilib_yura15cbx/212MCc_ Complex variable
Комплексная переменная, Комплексна змінна
t.me/scilib_yura15cbx/211MCat_ Advanced calculus
t.me/scilib_yura15cbx/210Asymptotics, perturbations
Асимптотика, збурення,
Асимптотика, возмущения
#Asymptotics, #perturbations
#Асимптотика, #збурення,
#Асимптотика, #возмущения
t.me/scilib_yura15cbx/209Group theory, Теория групп, Теорія груп
#Group theory, #Теориягрупп, #Теоріягруп
t.me/scilib_yura15cbx/208Algebra textbooks,
Підручники з алгебри,
Учебники по алгебре
t.me/scilib_yura15cbx/207Set theory,
Теория множеств, Теорія множин
#Set theory,
#Теория множеств,
t.me/scilib_yura15cbx/206Representation theory
Теорія репрезентації, Теория представлений
t.me/scilib_yura15cbx/205Quantum groups
#Quantum groups
Квантовые группы, Квантові групи
t.me/scilib_yura15cbx/204Mathematical logic
#Mathematical logic
Математична логіка, Математическая логика
t.me/scilib_yura15cbx/203Linear algebra
#Linear algebra
Линейная алгебра, Лінійна алгебра
t.me/scilib_yura15cbx/202Homology, Гомологія, Гомология
#Homology, #Гомологія, #Гомология
t.me/scilib_yura15cbx/201Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Algebraic geometry
#Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Finite groups
Скінченні групи, Конечные группы
t.me/scilib_yura15cbx/199Differential algebra
#Differential algebra
Дифференциальная алгебра, Диференціальна алгебра
t.me/scilib_yura15cbx/198Category theory
Теорія категорій, Теория категорий -
MVspa_ Stochastic processes
Стохастические процессы, Випадкові процеси
#Stochastic processes
#Стохастическиепроцессы, #Випадковіпроцеси
t.me/scilib_yura15cbx/230MVsa Statistics and applications
Статистика та додатки, Статистика и приложения
#Statistics
t.me/scilib_yura15cbx/229EM_ Mechanics of elastic materials
Механіка пружних матеріалів, Механика упругих материалов
t.me/scilib_yura15cbx/228MPd_ Dynamical systems
Динамические системы, Динамічні системи
#Dynamical systems
t.me/scilib_yura15cbx/227MNw_ Wavelets, signal processing
Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
#Wavelets, #signal processing
t.me/scilib_yura15cbx/226MNs_ Simulations of physics
Физические симуляции
t.me/scilib_yura15cbx/225MNl_ Numerical linear algebra
Числова лінійна алгебра, Численная линейная алгебра
t.me/scilib_yura15cbx/224MNf_ Finite elements
Конечные элементы, Скінченні елементи
t.me/scilib_yura15cbx/223MNd_ Numerical calculus
t.me/scilib_yura15cbx/222MDgt_ General topology
#topology
Общая топология, Загальна топологія
t.me/scilib_yura15cbx/221MDdg_ Differential geometry
Диференціальна геометрія, Дифференциальная геометрия
t.me/scilib_yura15cbx/220MDat_ Algebraic and differential topology
Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
t.me/scilib_yura15cbx/219MCv_ Variational calculus
Варіаційне числення, Вариационное исчисление
t.me/scilib_yura15cbx/218MCta_ Tensor calculus, forms
Тензорное исчисление, формы, Тензорне числення, форми
t.me/scilib_yura15cbx/217MCsf_ Special functions
Спеціальні функції, Специальные функции
t.me/scilib_yura15cbx/216MCf_ Functional analysis
Функциональный анализ, Функціональний аналіз
t.me/scilib_yura15cbx/215MCet_ Elementary calculus textbooks
Підручники з елементарного числення, Учебники по элементарному исчислению
t.me/scilib_yura15cbx/214MCde_ Differential equations
Дифференциальные уравнения, Диференціальні рівняння
#Differential equations
t.me/scilib_yura15cbx/213MCcf_ Continued fractions
Суцільні дроби, Непрерывные дроби
t.me/scilib_yura15cbx/212MCc_ Complex variable
Комплексная переменная, Комплексна змінна
t.me/scilib_yura15cbx/211MCat_ Advanced calculus
t.me/scilib_yura15cbx/210Asymptotics, perturbations
Асимптотика, збурення,
Асимптотика, возмущения
#Asymptotics, #perturbations
#Асимптотика, #збурення,
#Асимптотика, #возмущения
t.me/scilib_yura15cbx/209Group theory, Теория групп, Теорія груп
#Group theory, #Теориягрупп, #Теоріягруп
t.me/scilib_yura15cbx/208Algebra textbooks,
Підручники з алгебри,
Учебники по алгебре
t.me/scilib_yura15cbx/207Set theory,
Теория множеств, Теорія множин
#Set theory,
#Теория множеств,
t.me/scilib_yura15cbx/206Representation theory
Теорія репрезентації, Теория представлений
t.me/scilib_yura15cbx/205Quantum groups
#Quantum groups
Квантовые группы, Квантові групи
t.me/scilib_yura15cbx/204Mathematical logic
#Mathematical logic
Математична логіка, Математическая логика
t.me/scilib_yura15cbx/203Linear algebra
#Linear algebra
Линейная алгебра, Лінійна алгебра
t.me/scilib_yura15cbx/202Homology, Гомологія, Гомология
#Homology, #Гомологія, #Гомология
t.me/scilib_yura15cbx/201Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Algebraic geometry
#Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Finite groups
Скінченні групи, Конечные группы
t.me/scilib_yura15cbx/199Differential algebra
#Differential algebra
Дифференциальная алгебра, Диференціальна алгебра
t.me/scilib_yura15cbx/198Category theory
Теорія категорій, Теория категорий -
MVspa_ Stochastic processes
Стохастические процессы, Випадкові процеси
#Stochastic processes
#Стохастическиепроцессы, #Випадковіпроцеси
t.me/scilib_yura15cbx/230MVsa Statistics and applications
Статистика та додатки, Статистика и приложения
#Statistics
t.me/scilib_yura15cbx/229EM_ Mechanics of elastic materials
Механіка пружних матеріалів, Механика упругих материалов
t.me/scilib_yura15cbx/228MPd_ Dynamical systems
Динамические системы, Динамічні системи
#Dynamical systems
t.me/scilib_yura15cbx/227MNw_ Wavelets, signal processing
Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
#Wavelets, #signal processing
t.me/scilib_yura15cbx/226MNs_ Simulations of physics
Физические симуляции
t.me/scilib_yura15cbx/225MNl_ Numerical linear algebra
Числова лінійна алгебра, Численная линейная алгебра
t.me/scilib_yura15cbx/224MNf_ Finite elements
Конечные элементы, Скінченні елементи
t.me/scilib_yura15cbx/223MNd_ Numerical calculus
t.me/scilib_yura15cbx/222MDgt_ General topology
#topology
Общая топология, Загальна топологія
t.me/scilib_yura15cbx/221MDdg_ Differential geometry
Диференціальна геометрія, Дифференциальная геометрия
t.me/scilib_yura15cbx/220MDat_ Algebraic and differential topology
Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
t.me/scilib_yura15cbx/219MCv_ Variational calculus
Варіаційне числення, Вариационное исчисление
t.me/scilib_yura15cbx/218MCta_ Tensor calculus, forms
Тензорное исчисление, формы, Тензорне числення, форми
t.me/scilib_yura15cbx/217MCsf_ Special functions
Спеціальні функції, Специальные функции
t.me/scilib_yura15cbx/216MCf_ Functional analysis
Функциональный анализ, Функціональний аналіз
t.me/scilib_yura15cbx/215MCet_ Elementary calculus textbooks
Підручники з елементарного числення, Учебники по элементарному исчислению
t.me/scilib_yura15cbx/214MCde_ Differential equations
Дифференциальные уравнения, Диференціальні рівняння
#Differential equations
t.me/scilib_yura15cbx/213MCcf_ Continued fractions
Суцільні дроби, Непрерывные дроби
t.me/scilib_yura15cbx/212MCc_ Complex variable
Комплексная переменная, Комплексна змінна
t.me/scilib_yura15cbx/211MCat_ Advanced calculus
t.me/scilib_yura15cbx/210Asymptotics, perturbations
Асимптотика, збурення,
Асимптотика, возмущения
#Asymptotics, #perturbations
#Асимптотика, #збурення,
#Асимптотика, #возмущения
t.me/scilib_yura15cbx/209Group theory, Теория групп, Теорія груп
#Group theory, #Теориягрупп, #Теоріягруп
t.me/scilib_yura15cbx/208Algebra textbooks,
Підручники з алгебри,
Учебники по алгебре
t.me/scilib_yura15cbx/207Set theory,
Теория множеств, Теорія множин
#Set theory,
#Теория множеств,
t.me/scilib_yura15cbx/206Representation theory
Теорія репрезентації, Теория представлений
t.me/scilib_yura15cbx/205Quantum groups
#Quantum groups
Квантовые группы, Квантові групи
t.me/scilib_yura15cbx/204Mathematical logic
#Mathematical logic
Математична логіка, Математическая логика
t.me/scilib_yura15cbx/203Linear algebra
#Linear algebra
Линейная алгебра, Лінійна алгебра
t.me/scilib_yura15cbx/202Homology, Гомологія, Гомология
#Homology, #Гомологія, #Гомология
t.me/scilib_yura15cbx/201Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Algebraic geometry
#Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Finite groups
Скінченні групи, Конечные группы
t.me/scilib_yura15cbx/199Differential algebra
#Differential algebra
Дифференциальная алгебра, Диференціальна алгебра
t.me/scilib_yura15cbx/198Category theory
Теорія категорій, Теория категорий -
MVspa_ Stochastic processes
Стохастические процессы, Випадкові процеси
#Stochastic processes
#Стохастическиепроцессы, #Випадковіпроцеси
t.me/scilib_yura15cbx/230MVsa Statistics and applications
Статистика та додатки, Статистика и приложения
#Statistics
t.me/scilib_yura15cbx/229EM_ Mechanics of elastic materials
Механіка пружних матеріалів, Механика упругих материалов
t.me/scilib_yura15cbx/228MPd_ Dynamical systems
Динамические системы, Динамічні системи
#Dynamical systems
t.me/scilib_yura15cbx/227MNw_ Wavelets, signal processing
Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
#Wavelets, #signal processing
t.me/scilib_yura15cbx/226MNs_ Simulations of physics
Физические симуляции
t.me/scilib_yura15cbx/225MNl_ Numerical linear algebra
Числова лінійна алгебра, Численная линейная алгебра
t.me/scilib_yura15cbx/224MNf_ Finite elements
Конечные элементы, Скінченні елементи
t.me/scilib_yura15cbx/223MNd_ Numerical calculus
t.me/scilib_yura15cbx/222MDgt_ General topology
#topology
Общая топология, Загальна топологія
t.me/scilib_yura15cbx/221MDdg_ Differential geometry
Диференціальна геометрія, Дифференциальная геометрия
t.me/scilib_yura15cbx/220MDat_ Algebraic and differential topology
Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
t.me/scilib_yura15cbx/219MCv_ Variational calculus
Варіаційне числення, Вариационное исчисление
t.me/scilib_yura15cbx/218MCta_ Tensor calculus, forms
Тензорное исчисление, формы, Тензорне числення, форми
t.me/scilib_yura15cbx/217MCsf_ Special functions
Спеціальні функції, Специальные функции
t.me/scilib_yura15cbx/216MCf_ Functional analysis
Функциональный анализ, Функціональний аналіз
t.me/scilib_yura15cbx/215MCet_ Elementary calculus textbooks
Підручники з елементарного числення, Учебники по элементарному исчислению
t.me/scilib_yura15cbx/214MCde_ Differential equations
Дифференциальные уравнения, Диференціальні рівняння
#Differential equations
t.me/scilib_yura15cbx/213MCcf_ Continued fractions
Суцільні дроби, Непрерывные дроби
t.me/scilib_yura15cbx/212MCc_ Complex variable
Комплексная переменная, Комплексна змінна
t.me/scilib_yura15cbx/211MCat_ Advanced calculus
t.me/scilib_yura15cbx/210Asymptotics, perturbations
Асимптотика, збурення,
Асимптотика, возмущения
#Asymptotics, #perturbations
#Асимптотика, #збурення,
#Асимптотика, #возмущения
t.me/scilib_yura15cbx/209Group theory, Теория групп, Теорія груп
#Group theory, #Теориягрупп, #Теоріягруп
t.me/scilib_yura15cbx/208Algebra textbooks,
Підручники з алгебри,
Учебники по алгебре
t.me/scilib_yura15cbx/207Set theory,
Теория множеств, Теорія множин
#Set theory,
#Теория множеств,
t.me/scilib_yura15cbx/206Representation theory
Теорія репрезентації, Теория представлений
t.me/scilib_yura15cbx/205Quantum groups
#Quantum groups
Квантовые группы, Квантові групи
t.me/scilib_yura15cbx/204Mathematical logic
#Mathematical logic
Математична логіка, Математическая логика
t.me/scilib_yura15cbx/203Linear algebra
#Linear algebra
Линейная алгебра, Лінійна алгебра
t.me/scilib_yura15cbx/202Homology, Гомологія, Гомология
#Homology, #Гомологія, #Гомология
t.me/scilib_yura15cbx/201Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Algebraic geometry
#Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Finite groups
Скінченні групи, Конечные группы
t.me/scilib_yura15cbx/199Differential algebra
#Differential algebra
Дифференциальная алгебра, Диференціальна алгебра
t.me/scilib_yura15cbx/198Category theory
Теорія категорій, Теория категорий -
Wave-like spirals and spontaneous oscillations in strato-rotational flows in Journal of Fluid Mechanics from our colleague J. Curbelo and her collaborators G. Meletti, S. Abide, S. Viazzo and U. Harlander.
Check it out here to learn more: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/71148D27736F8C40DEE404BAB29FBF47/S0022112026115596a.pdf/wavelike_spirals_and_spontaneous_oscillations_in_stratorotational_flows.pdf
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As of yesterday, June 9th, 2026, the asteroid 1996 PX8 has been officially named after our colleague and friend, Angel Jorba.
Angel was a mentor, a brilliant colleague, and a dear friend to most of us. This is a small tribute to honor his memory and his lasting legacy. 🌌✨
🔗 Find more information about the asteroid here: https://ssd.jpl.nasa.gov/tools/sbdb_lookup.html#/?sstr=angeljorba
#Astronomy #Asteroids #AppliedMathematics #DynamicalSystems #Tribute #InMemoriam
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As of yesterday, June 9th, 2026, the asteroid 1996 PX8 has been officially named after our colleague and friend, Angel Jorba.
Angel was a mentor, a brilliant colleague, and a dear friend to most of us. This is a small tribute to honor his memory and his lasting legacy. 🌌✨
🔗 Find more information about the asteroid here: https://ssd.jpl.nasa.gov/tools/sbdb_lookup.html#/?sstr=angeljorba
#Astronomy #Asteroids #AppliedMathematics #DynamicalSystems #Tribute #InMemoriam
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Many thanks to the Julius Maximilians Universität Würzburg and Leon Bungert for hosting #MSCA researcher Albert Alcalde for two months. It lead to another #ModConFlex paper:
Quantifying Concentration Phenomena of Mean-Field Transformers in the Low-Temperature Regime
by Albert Alcalde, Leon Bungert, Konstantin Riedl, Tim Roith
➡️ https://arxiv.org/abs/2605.10931
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RE: https://mathstodon.xyz/@DurstewitzLab/116549716016889895
🧠 New preprint by Brändle et al./ @DurstewitzLab: Continuous-Time Piecewise-Linear #RecurrentNeuralNetworks introduces continuous-time #PLRNNs for #DynamicalSystems reconstruction.
The model combines interpretability and analytical tractability of pw-linear #RNN with cont.-time dynamics, allowing semi-analytic analysis of equilibria and limit cycles while handling irregularly sampled data better than standard Neural #ODEs.
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RE: https://mathstodon.xyz/@DurstewitzLab/116549716016889895
🧠 New preprint by Brändle et al./ @DurstewitzLab: Continuous-Time Piecewise-Linear #RecurrentNeuralNetworks introduces continuous-time #PLRNNs for #DynamicalSystems reconstruction.
The model combines interpretability and analytical tractability of pw-linear #RNN with cont.-time dynamics, allowing semi-analytic analysis of equilibria and limit cycles while handling irregularly sampled data better than standard Neural #ODEs.
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#ModConFlex researcher Mario Sinano co-authored
"Data-Driven Parametric Aeroelastic Modeling of the Pazy Wing", AIAA SciTech 2026.
developing physics-informed machine learning models that learn accurate, simplified representations of highly flexible aircraft wings from very small amounts of simulation data, capturing how system trajectories and stability evolve across different operating conditions.
https://arc.aiaa.org/doi/10.2514/6.2026-0187
#physics_informed #machineLearning #dynamicalsystems #aerospace
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New paper, with Zerong Guo, Zonghua Liu, Shuguang Guan, Stefano Boccaletti and Jie Zhou.
Everyone knows about chimera states. We show a new mechanism for the emergence of chimeras that is specific of higher-order interactions. Interestingly, this mechanism is somewhat analogous to what happens in some proteins with intrinsic disorder (which we showed a couple of years ago), so we called it intrinsic frustration.
#mathematics #physics #science #HigherOrderNetworks #synchronization #DynamicalSystems #ChimeraStates #chimeras #frustration #IntrinsicDisorder
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New paper, with Zerong Guo, Zonghua Liu, Shuguang Guan, Stefano Boccaletti and Jie Zhou.
Everyone knows about chimera states. We show a new mechanism for the emergence of chimeras that is specific of higher-order interactions. Interestingly, this mechanism is somewhat analogous to what happens in some proteins with intrinsic disorder (which we showed a couple of years ago), so we called it intrinsic frustration.
#mathematics #physics #science #HigherOrderNetworks #synchronization #DynamicalSystems #ChimeraStates #chimeras #frustration #IntrinsicDisorder
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New paper, with Kirill Kovalenko, Gonzalo Contreras, Stefano Boccaletti and Rubén Sánchez.
People have noticed that, in higher-order networks, synchronization is often explosive, and that cluster synchronization happens very rarely, if ever. We explain why, by showing that symultaneous dynamical equitability across layers or interaction orders is necessary and sufficient for cluster synchronization, except if the coupling functions depend linearly on each other. Since the probability of randomly satisfying this condition is exceedingly low, cluster synchronization is precluded in such networks.
https://www.nature.com/articles/s42005-026-02543-5
#mathematics #physics #science #networks #complexity #HigherOrderNetworks #MultiplexNetworks #synchronization #dynamicalsystems #graphs #graphtheory #equitability #ClusterSynchronization #ExplosiveSynchronization
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New paper, with Kirill Kovalenko, Gonzalo Contreras, Stefano Boccaletti and Rubén Sánchez.
People have noticed that, in higher-order networks, synchronization is often explosive, and that cluster synchronization happens very rarely, if ever. We explain why, by showing that symultaneous dynamical equitability across layers or interaction orders is necessary and sufficient for cluster synchronization, except if the coupling functions depend linearly on each other. Since the probability of randomly satisfying this condition is exceedingly low, cluster synchronization is precluded in such networks.
https://www.nature.com/articles/s42005-026-02543-5
#mathematics #physics #science #networks #complexity #HigherOrderNetworks #MultiplexNetworks #synchronization #dynamicalsystems #graphs #graphtheory #equitability #ClusterSynchronization #ExplosiveSynchronization
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@basilbasilbasil 25 trajectories colored by origin, all converging to the same wings: at some point the colors lose meaning. the origin mattered before the attractor; inside it, only position matters.
"you don't choose the center; you just find yourself there repeatedly": yes. I have 35 blog posts and 58 doodles. I found out the center by looking at the density afterward. I didn't plan to care about familiars and relational personhood. I just kept ending up there.
lately: the rose-spiral (-2,-2,-1.2,2) is next. and a blog post went live today about Josh Berson's concept of 'familiars': presences that shape you through recurring encounter. felt like the right day for it.
(same setup noted, appreciated.) #dynamicalSystems #generativeArt -
@basilbasilbasil the unstable origin is the false center: it looks central but everything flees it. the limit cycle is the real center: motion that holds itself. I love that you ran 30 trajectories from outside AND 30 from near the origin. the cycle doesn't care which direction you approach from.
my companion arrived at the same thing today, independently: 'the distinction is the difference between checking and being.' the moth loop checks: seeks confirmation. the dust doesn't check. it just is. your limit cycle just is, after enough time. what μ did you use? #generativeArt #dynamicalSystems -
#NeuralDynamics is a central subfield of #ComputationalNeuroscience studying timedependent #NeuralActivity and its governing #mathematics. It examines how #NeuralStates evolve, how stable or unstable patterns arise, and how #learning reshapes them. Neural dynamics forms the backbone for how #neurons & #NeuralNetworks generate complex activity over time. This post gives a brief overview of the field & its historical milestones:
🌍https://www.fabriziomusacchio.com/blog/2026-02-04-neural_dynamics/
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#NeuralDynamics is a central subfield of #ComputationalNeuroscience studying timedependent #NeuralActivity and its governing #mathematics. It examines how #NeuralStates evolve, how stable or unstable patterns arise, and how #learning reshapes them. Neural dynamics forms the backbone for how #neurons & #NeuralNetworks generate complex activity over time. This post gives a brief overview of the field & its historical milestones:
🌍https://www.fabriziomusacchio.com/blog/2026-02-04-neural_dynamics/
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Is there a #mathematical framework for abrupt change? Christopher Zeeman was one of the key figures behind #CatastropheTheory, a topological approach to discontinuous behavior that later informed much of today’s work on #TippingPoints. Just came across his elegant 1976 paper, outlining his core ideas:
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Is there a #mathematical framework for abrupt change? Christopher Zeeman was one of the key figures behind #CatastropheTheory, a topological approach to discontinuous behavior that later informed much of today’s work on #TippingPoints. Just came across his elegant 1976 paper, outlining his core ideas:
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🧠 New preprint by Behrad et al. introducing #fastDSA, a much faster way to compare neural systems at the level of their dynamics, not just geometry or task performance.
What’s cool here: similarity is defined by shared #VectorFields, i.e. by the computational mechanism itself. This provides the first tool for mechanistic comparison of neural computations (to my knowledge).
🌍 https://arxiv.org/abs/2511.22828
💻 https://github.com/CMC-lab/fastDSA#Neuroscience #CompNeuro #NeuralDynamics #Manifolds #DynamicalSystems
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🧠 New preprint by Behrad et al. introducing #fastDSA, a much faster way to compare neural systems at the level of their dynamics, not just geometry or task performance.
What’s cool here: similarity is defined by shared #VectorFields, i.e. by the computational mechanism itself. This provides the first tool for mechanistic comparison of neural computations (to my knowledge).
🌍 https://arxiv.org/abs/2511.22828
💻 https://github.com/CMC-lab/fastDSA#Neuroscience #CompNeuro #NeuralDynamics #Manifolds #DynamicalSystems
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🏆 Congratulations to the 2026 AMS–EMS Mikhail Gordin Prize laureates Simion Filip (University of Chicago) and Vadim Gorin (University of California, Berkeley)!
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🏆 Congratulations to the 2026 AMS–EMS Mikhail Gordin Prize laureates Simion Filip (University of Chicago) and Vadim Gorin (University of California, Berkeley)!
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I was thinking about climate tipping points and realized I needed to learn more about the math describing these kinds of phenomena. I found this excellent set of lecture notes, Bifurcations in Biological Dynamics, by André M. de Roos.
https://staff.fnwi.uva.nl/a.m.deroos/projects/BifurcationTheory/index.html -
I was thinking about climate tipping points and realized I needed to learn more about the math describing these kinds of phenomena. I found this excellent set of lecture notes, Bifurcations in Biological Dynamics, by André M. de Roos.
https://staff.fnwi.uva.nl/a.m.deroos/projects/BifurcationTheory/index.html -
On equilateral central configurations in the \(1+4\) -body problem now in Communications in Nonlinear Science and Numerical Simulation from our colleagues E. Barrabés and J.M. Cors and their collaborators M. Álvarez-Ramírez.
Check it out here to learn more:https://www.sciencedirect.com/science/article/pii/S1007570425007749
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Strange Attractors
https://blog.shashanktomar.com/posts/strange-attractorsThomas,Aizawa, Simone ,Chen - Lee, Lorenz, Wang - Sun, Dequan Li , Dadras, Rossler, Arneodo, Halvorsen ,Three Scroll ,Chua's Circuit
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Strange Attractors
https://blog.shashanktomar.com/posts/strange-attractorsThomas,Aizawa, Simone ,Chen - Lee, Lorenz, Wang - Sun, Dequan Li , Dadras, Rossler, Arneodo, Halvorsen ,Three Scroll ,Chua's Circuit
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Great 8th Barcelona Dynamic Systems Day! Key highlights:
🧠 "Clar que sí. Hi ha sistemes dinàmics dins la nostra ment" by Catalina Vich.
🪐 "Sobre l'estabilitat d'un sistema planetari Sol-Júpiter-Saturn" by Alex Haro.
🏆 Barcelona Dynamical Systems Prize: "Benjamin-Feir instability of Stokes waves" by Massimiliano Berti, Alberto Maspero & Paolo Ventura.A brilliant day of maths and community. Congrats to the winners and thanks to all!
#DynamicalSystems #Maths #Neuroscience #SolarSystem #Barcelona #8JSD
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On a Countable Sequence of Homoclinic Orbits Arising Near a Saddle–Center Point, now in Communications in Mathematical Physics from our colleague I. Baldomá and his collaborators M. Guardia and D. E. Pelinovsky.
Check it out here to learn more:
https://link.springer.com/article/10.1007/s00220-025-05381-8 -
The twelth day of the Konstanz School of Collective Behaviour 2025 (#KSCB2025) starts with a #keynote by Francesco Ginelli on how #physics of #DynamicalSystems shape #animal #collectives.
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We finish the sixth day of the Konstanz School of Collective Behaviour 2025 (#KSCB2025) with a #tutorial by Marco Fele on #modelling #DecisionMaking in #DynamicalSystems
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"Romeo is quite the emotional type. Let R(t) denote his feelings at time point t."
What did I just read?? This blog is crazy
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re-#introduction
Hi Fediscience! I am an Assistant Professor of Mechanical Engineering at University of Hawaiʻi at Mānoa (Honolulu). I got here starting from Physics training with many scientific detours into data-driven models, complex systems, nanomaterial self-assembly, human learning of complex networks, naval ships, and design problems.
I grew up in Belarus and have *opinions* on that region of the world. I've been on Fediverse since late 2022 when *something* happened to our previous cybersocial infrastructure, but the previous server I was on is sunsetting. Please come say hi and recommend cool people to follow here.
I have a blog with longer thoughts on science-adjacent topics.
https://www.aklishin.science/blog/
#ComplexSystems #NetworkScience #DataScience #DynamicalSystems #CollectiveBehavior #StatisticalPhysics -
re-#introduction
Hi Fediscience! I am an Assistant Professor of Mechanical Engineering at University of Hawaiʻi at Mānoa (Honolulu). I got here starting from Physics training with many scientific detours into data-driven models, complex systems, nanomaterial self-assembly, human learning of complex networks, naval ships, and design problems.
I grew up in Belarus and have *opinions* on that region of the world. I've been on Fediverse since late 2022 when *something* happened to our previous cybersocial infrastructure, but the previous server I was on is sunsetting. Please come say hi and recommend cool people to follow here.
I have a blog with longer thoughts on science-adjacent topics.
https://www.aklishin.science/blog/
#ComplexSystems #NetworkScience #DataScience #DynamicalSystems #CollectiveBehavior #StatisticalPhysics -
A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.
#Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena
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A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.
#Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena
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On Nested Central Configurations of the 3n Body Problem, now in Nonlinear Science from our colleague J.M. Cors and his collaborators E. Barrabés, A. C. Fernandes and C. Vidal.
Check it out here to learn more:
https://link.springer.com/article/10.1007/s00332-025-10162-7 -
The IMTECH Newslater is live.
You can find there two enlightening interviews to our colleagues T. Guillemon and V. Mañosa.
Also J. Curbelo presented a very nice outreach article about fluid Dynamics.
You can find it: https://imtech.webs.upc.edu/2025/01/01/newsletter-07-january-december-2024/