Chimera patterns in networks

A Zakharova - Springer, 2020 - Springer
Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

Chimera patterns induced by distance-dependent power-law coupling in ecological networks

T Banerjee, PS Dutta, A Zakharova, E Schöll - Physical Review E, 2016 - APS
This paper reports the occurrence of several chimera patterns and the associated transitions
among them in a network of coupled oscillators, which are connected by a long-range …

Neuronal synchronization in long-range time-varying networks

S Rakshit, S Majhi, J Kurths, D Ghosh - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
We study synchronization in neuronal ensembles subject to long-range electrical gap
junctions which are time-varying. As a representative example, we consider Hindmarsh …

Symmetry breaking by power-law coupling

B Bandyopadhyay, T Khatun, PS Dutta… - Chaos, Solitons & …, 2020 - Elsevier
We study the symmetry breaking phenomena in a network of Rayleigh oscillators coupled
through power-law coupling whose interaction range is controlled by a power-law exponent …

Stability analysis of synchronization in long-range temporal networks using theory of dichotomy

S Rakshit, S Majhi, D Ghosh - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
Most of the previous studies on the stability analysis of synchronization in static or time-
varying networks are based on the master stability function approach, which is a semi …

Synchronization in complex networks with long-range interactions

S Rakshit, S Majhi, D Ghosh - Journal of Physics A: Mathematical …, 2020 - iopscience.iop.org
Variants of collective behavior can materialize in large ensembles of coupled dynamical
systems, and synchronization is one of the most significant among them due to its enormous …

Effective-medium approximation for lattice random walks with long-range jumps

F Thiel, IM Sokolov - Physical Review E, 2016 - APS
We consider the random walk on a lattice with random transition rates and arbitrarily long-
range jumps. We employ Bruggeman's effective-medium approximation (EMA) to find the …

Emergence of chimera states in neural networks with distance-dependent mean field coupling

T Remi, PÂA Subha - International Journal of Modern Physics C …, 2024 - ideas.repec.org
The emergence of chimera states in neural networks has been an interesting area of
research in the past few years and aims to explore the complex brain functions. Even though …