Rare and hidden attractors in Van der Pol-Duffing oscillators

S Brezetskyi, D Dudkowski, T Kapitaniak - The European Physical Journal …, 2015 - Springer
We study the dynamics of the single and coupled van der Pol-Duffing oscillators. Each
oscillator is characterized by the multistability (the coexistence of attractors). Some of the …

Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators

MJ Panaggio, DM Abrams - Nonlinearity, 2015 - iopscience.iop.org
A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in
which synchronous and asynchronous oscillation coexist. This state of broken symmetry …

Chimera and phase-cluster states in populations of coupled chemical oscillators

MR Tinsley, S Nkomo, K Showalter - Nature Physics, 2012 - nature.com
Populations of coupled oscillators may exhibit two coexisting subpopulations, one with
synchronized oscillations and the other with unsynchronized oscillations, even though all of …

Experimental observation of chimeras in coupled-map lattices

AM Hagerstrom, TE Murphy, R Roy, P Hövel… - Nature Physics, 2012 - nature.com
Networks of nonlocally coupled phase oscillators can support chimera states in which
identical oscillators evolve into distinct groups that exhibit coexisting synchronous and …

[HTML][HTML] Mathematical framework for large-scale brain network modeling in The Virtual Brain

P Sanz-Leon, SA Knock, A Spiegler, VK Jirsa - Neuroimage, 2015 - Elsevier
In this article, we describe the mathematical framework of the computational model at the
core of the tool The Virtual Brain (TVB), designed to simulate collective whole brain …

The mathematics behind chimera states

OE Omel'chenko - Nonlinearity, 2018 - iopscience.iop.org
Chimera states are self-organized spatiotemporal patterns of coexisting coherence and
incoherence. We give an overview of the main mathematical methods used in studies of …

The changing notion of chimera states, a critical review

SW Haugland - Journal of Physics: Complexity, 2021 - iopscience.iop.org
Chimera states, states of coexistence of synchronous and asynchronous motion, have been
a subject of extensive research since they were first given a name in 2004. Increased …

Imperfect chimera states for coupled pendula

T Kapitaniak, P Kuzma, J Wojewoda, K Czolczynski… - Scientific reports, 2014 - nature.com
The phenomenon of chimera states in the systems of coupled, identical oscillators has
attracted a great deal of recent theoretical and experimental interest. In such a state, different …

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 states: the existence criteria revisited

GC Sethia, A Sen - Physical review letters, 2014 - APS
Chimera states, representing a spontaneous breakup of a population of identical oscillators
that are identically coupled, into subpopulations displaying synchronized and …