About this Research Topic

Background

Neural networks are characterized by high dimensionality and multiple nonlinear interactions between neurons, involving complex network topologies, coupling delays, synaptic plasticity and feedback. Multistability and metastability between states of partial synchronization are believed to provide the basis for numerous cognitive processes, but also pathologies, from perception to epilepsy. The important problems include both the origin of multi- and metastability, as well as the mechanisms allowing for the spontaneous or induced switching between coexisting states at different levels of spatial and temporal organization. Neuronal activity is inherently irregular in terms of action potential generation, axonal propagation and subsequent synaptic transmission, constant bombardment of synaptic inputs, and synaptic unreliability. Therefore, both deterministic and stochastic mechanisms regulate the dynamics of neural networks, but affect functional connectivity, reflecting the synchronization features, in different ways.

This Research Topic aims to provide the academic community with a forum to present and discuss the latest theoretical and applied research related to recent advances in synchronization and multistability in neural networks. Many experimental results of neuroimaging of the brain can be interpreted in terms of complex high-level networks who’s mathematical modeling is based on high-dimensional systems of nonlinear differential equations. Thus, nonlinear dynamics is the basis for a rigorous description of the behavior of large-scale neural networks. An interesting application of the theory of nonlinear dynamical systems to neuroscience is the study of the phenomena of the central nervous system, which exhibits almost discontinuous transitions between metastable states of the brain. The focus is on advancing modern understanding of the origins of multistability and metastability in neural networks, as well as the mechanisms underlying transitions between coexisting partial synchronization states. We will also try to explain how multi- and metastability at different levels of brain organization changes as a result of adaptation, cognition, neurological diseases, and ageing processes.

We invite original and review papers covering new physical and mathematical methods, biologically plausible models, innovative approaches, and novel important techniques that could lead to significant advances in understanding of synchronization and multistability in neural network dynamics. The topics of interest include, but are not limited to the following issues:
- Deterministic Neural Models
- Stochastic Neural Models
- Discrete Neural Models
- Continuous Neural Models

Keywords: tractor, neural network, multistability, metastability, synchronization, nonlinear dynamics, chaos, noise

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