Dynamical principles in neuroscience
MI Rabinovich, P Varona, AI Selverston… - Reviews of modern …, 2006 - APS
Dynamical modeling of neural systems and brain functions has a history of success over the
last half century. This includes, for example, the explanation and prediction of some features …
last half century. This includes, for example, the explanation and prediction of some features …
Mathematical frameworks for oscillatory network dynamics in neuroscience
The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …
neuroscience community, providing insight into a variety of network behaviours ranging from …
Small‐world properties of nonlinear brain activity in schizophrenia
A disturbance in the interactions between distributed cortical regions may underlie the
cognitive and perceptual dysfunction associated with schizophrenia. In this article, nonlinear …
cognitive and perceptual dysfunction associated with schizophrenia. In this article, nonlinear …
Transient cognitive dynamics, metastability, and decision making
The idea that cognitive activity can be understood using nonlinear dynamics has been
intensively discussed at length for the last 15 years. One of the popular points of view is that …
intensively discussed at length for the last 15 years. One of the popular points of view is that …
Sequential dynamics of complex networks in mind: Consciousness and creativity
Today, based on brain imaging analyses, we can consider the brilliant metaphor about
event discreteness of the conscious process by William James (1890) to be an experimental …
event discreteness of the conscious process by William James (1890) to be an experimental …
Robust transient dynamics and brain functions
MI Rabinovich, P Varona - Frontiers in computational neuroscience, 2011 - frontiersin.org
In the last few decades several concepts of dynamical systems theory (DST) have guided
psychologists, cognitive scientists, and neuroscientists to rethink about sensory motor …
psychologists, cognitive scientists, and neuroscientists to rethink about sensory motor …
Dynamical bridge between brain and mind
The bridge between brain structures as computational devices and the content of mental
processes hinges on the solution of several problems:(i) inference of the cognitive brain …
processes hinges on the solution of several problems:(i) inference of the cognitive brain …
Ghost channels and ghost cycles guiding long transients in dynamical systems
Dynamical descriptions and modeling of natural systems have generally focused on fixed
points, with saddles and saddle-based phase-space objects such as heteroclinic channels …
points, with saddles and saddle-based phase-space objects such as heteroclinic channels …
Heteroclinic networks for brain dynamics
H Meyer-Ortmanns - Frontiers in Network Physiology, 2023 - frontiersin.org
Heteroclinic networks are a mathematical concept in dynamic systems theory that is suited to
describe metastable states and switching events in brain dynamics. The framework is …
describe metastable states and switching events in brain dynamics. The framework is …
[HTML][HTML] Discrete sequential information coding: heteroclinic cognitive dynamics
MI Rabinovich, P Varona - Frontiers in Computational Neuroscience, 2018 - frontiersin.org
Discrete sequential information coding is a key mechanism that transforms complex
cognitive brain activity into a low-dimensional dynamical process based on the sequential …
cognitive brain activity into a low-dimensional dynamical process based on the sequential …