Dynamical systems articles from across Nature Portfolio

A dynamical system is a particle or ensemble of particles whose state varies over time and thus obeys differential equations involving time derivatives. Analytical resolution of such equations or their integration over time through computer simulation facilitates the prediction of the future behaviour of the system.

Latest Research and Reviews

Research
24 May 2023 | Open Access

Gap junctions desynchronize a neural circuit to stabilize insect flight

In the Drosophila central-pattern-generating neural network, a mechanism for network desynchronization relying on weak electrical synapses and specific excitability dynamics of the coupled neurons translates unpatterned premotor input into stereotyped neuronal firing with fixed sequences of cell activation, ensuring stable wingbeat power.
- Silvan Hürkey
- , Nelson Niemeyer
- & Carsten Duch
Nature, 1-8
Research
23 May 2023 | Open Access

Learning how network structure shapes decision-making for bio-inspired computing

Better understanding of a trade-off between the speed and accuracy of decision-making is relevant for mapping biological intelligence to machines. The authors introduce a brain-inspired learning algorithm to uncover dependencies in individual fMRI networks with features of neural activity and predict inter-individual differences in decision-making.
- Michael Schirner
- , Gustavo Deco
- & Petra Ritter
Nature Communications 14, 2963
Research
22 May 2023 | Open Access

Diverse electrical responses in a network of fractional-order conductance-based excitable Morris-Lecar systems
- Sanjeev K. Sharma
- , Argha Mondal
- & Chris G. Antonopoulos
Scientific Reports 13, 8215
Research
18 May 2023 | Open Access

Distributing task-related neural activity across a cortical network through task-independent connections

Large scale neural recordings show that task-related activity is observed across neural circuits. Here, the authors have identified a network mechanism that promotes distributed activity in the cortex during decision-making via task-independent synapses.
- Christopher M. Kim
- , Arseny Finkelstein
- & Ran Darshan
Nature Communications 14, 2851
Research
04 May 2023 | Open Access

Morphodynamical cell state description via live-cell imaging trajectory embedding

A live-cell trajectory embedding analysis characterizes the morphodynamical changes associated with molecular and ligand-induced responses and improves identification of metastable cell states compared to morphological snapshot-based analysis.
- Jeremy Copperman
- , Sean M. Gross
- & Daniel M. Zuckerman
Communications Biology 6, 484
Research
26 April 2023 | Open Access

Wrist redundancy management during pointing tasks remains stable over time and in presence of a visuomotor perturbation
- Luigi Raiano
- , Alessia Noccaro
- & Domenico Formica
Scientific Reports 13, 6789

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News and Comment

Correspondence | 07 October 2022

Dynamical models to evaluate structure–function relationships in network neuroscience
- Andrea I. Luppi
- , Joana Cabral
- & Morten L. Kringelbach
Nature Reviews Neuroscience 23, 767-768
News & Views | 29 September 2022

GABA receptors near sodium channels facilitate spike propagation in myelinated axons

Although axonal GABA_A receptors are thought to cause presynaptic inhibition, we show that instead they often facilitate sodium channel activation at nodes of myelinated axons. This facilitation determines which branches of sensory axons conduct action potentials to motor neurons, enabling computation at the level of the node to regulate sensory feedback.

Nature Neuroscience 25, 1253-1254
News & Views | 06 June 2022

Linking task structure and neural network dynamics

The solutions found by neural networks to solve a task are often inscrutable. We have little insight into why a particular structure emerges in a network. By reverse engineering neural networks from dynamical principles, Dubreuil, Valente et al. show how neural population structure enables computational flexibility.
- Christian David Márton
- , Siyan Zhou
- & Kanaka Rajan
Nature Neuroscience 25, 679-681
Research Highlights | 08 October 2021

High-performance modeling toolkit
- Ananya Rastogi
Nature Computational Science 1, 636
News & Views | 17 September 2021

Wiring up recurrent neural networks

Functional subsystems of the macroscale human brain connectome are mapped onto a recurrent neural network and found to perform optimally in a critical regime at the edge of chaos.
- Nabil Imam
Nature Machine Intelligence 3, 740-741
News & Views | 25 November 2019

Opening the black box of social behavior

Behavior is more than the motor outputs that we can directly measure. Here Calhoun and colleagues devise a novel method for inferring the internal states that affect how fruit flies process sensory information during courtship, providing a new framework for understanding the neural encoding of behavior.
- Kanishk Jain
- & Gordon J. Berman
Nature Neuroscience 22, 1947-1948

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Dynamical systems articles from across Nature Portfolio

Latest Research and Reviews

Gap junctions desynchronize a neural circuit to stabilize insect flight

Learning how network structure shapes decision-making for bio-inspired computing

Diverse electrical responses in a network of fractional-order conductance-based excitable Morris-Lecar systems

Distributing task-related neural activity across a cortical network through task-independent connections

Morphodynamical cell state description via live-cell imaging trajectory embedding

Wrist redundancy management during pointing tasks remains stable over time and in presence of a visuomotor perturbation

News and Comment

Dynamical models to evaluate structure–function relationships in network neuroscience

GABA receptors near sodium channels facilitate spike propagation in myelinated axons

Linking task structure and neural network dynamics

High-performance modeling toolkit

Wiring up recurrent neural networks

Opening the black box of social behavior

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