#dynamicalsystems — Public Fediverse posts

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.

#NeuralDynamics #Neuroscience #NeuralODE

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

#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/

#CompNeuro #Neuroscience #DynamicalSystems

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

What is the connection between fractal geometry and systems at a critical point undergoing phase transition? This is one of the more useful ideas that has emerged from the study of dynamical systems, but often it's buried too deep into the study of modeling for most people to encounter it-- then it gets explained badly in pop-science books.

At last here is a video that will set you right:

https://www.youtube.com/watch?v=vwLb3XlPCB4

#dynamicalsystems #mathematics #videos #phasechange #simulations #chaos

What is the connection between fractal geometry and systems at a critical point undergoing phase transition? This is one of the more useful ideas that has emerged from the study of dynamical systems, but often it's buried too deep into the study of modeling for most people to encounter it-- then it gets explained badly in pop-science books.

At last here is a video that will set you right:

https://www.youtube.com/watch?v=vwLb3XlPCB4

#dynamicalsystems #mathematics #videos #phasechange #simulations #chaos

What is the connection between fractal geometry and systems at a critical point undergoing phase transition? This is one of the more useful ideas that has emerged from the study of dynamical systems, but often it's buried too deep into the study of modeling for most people to encounter it-- then it gets explained badly in pop-science books.

At last here is a video that will set you right:

https://www.youtube.com/watch?v=vwLb3XlPCB4

#dynamicalsystems #mathematics #videos #phasechange #simulations #chaos

What is the connection between fractal geometry and systems at a critical point undergoing phase transition? This is one of the more useful ideas that has emerged from the study of dynamical systems, but often it's buried too deep into the study of modeling for most people to encounter it-- then it gets explained badly in pop-science books.

At last here is a video that will set you right:

https://www.youtube.com/watch?v=vwLb3XlPCB4

#dynamicalsystems #mathematics #videos #phasechange #simulations #chaos

What is the connection between fractal geometry and systems at a critical point undergoing phase transition? This is one of the more useful ideas that has emerged from the study of dynamical systems, but often it's buried too deep into the study of modeling for most people to encounter it-- then it gets explained badly in pop-science books.

At last here is a video that will set you right:

https://www.youtube.com/watch?v=vwLb3XlPCB4

#dynamicalsystems #mathematics #videos #phasechange #simulations #chaos

In the same vein as my #arxivfeed thing, here's a paper that I've been reading and really enjoying. I decided to spend more time on it than I usually do when reading papers because I wanted to search for gaps in my knowledge, and I really don't regret that decision! I'm only at the 4th section at the moment and I find it very well written, especially in the framing of things. So far it's a great overview!

"Neural Field Models: A mathematical overview and unifying framework"
https://arxiv.org/abs/2103.10554v4

#Neuroscience #ComputationalNeuroscience #MathematicalNeuroscience #NeuralFieldModelling #Biophysical #DynamicalSystems

#arxivfeed :

"A biology-inspired recurrent oscillator network for computations in high-dimensional state space"
https://www.biorxiv.org/content/10.1101/2022.11.29.518360v1

#MachineLearning #DeepLearning #RecurrentNeuralNetwork #NeuroAI #Neuroscience #DynamicalSystems #UnsupervisedLearning #HebbainLearning

#introduction I am an evolutionary biologist interested by the origins of life and evolutionary transitions in individuality #ETI. I do #theory inspired by #ExperimentalEvolution.

I'd like to understand how living systems emerge and change scale.

I enjoy various approaches such as #Math #Models (#StochasticProcess, #DynamicalSystems, and #AdaptiveDynamics in particular), #PhilosophyOfScience, #Bioinformatics and #Dataviz.

I am a #FOSS and #OpenScience enthusiast. Nice to meet you all !

Discussion meeting on "Patterns Dynamics Computation" on 5 Dec. The Institute of Mathematical Sciences. Chennai. Live stream on YouTube.

https://pbs.twimg.com/media/FiFQTBWVIAA4uri?format=jpg&name=large

#dynamicalsystems #nonlineardynamics
#statisticalPhysics
#complexity