Rare and hidden attractors in Van der Pol-Duffing oscillators
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 …
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
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 …
which synchronous and asynchronous oscillation coexist. This state of broken symmetry …
Chimera and phase-cluster states in populations of coupled chemical oscillators
Populations of coupled oscillators may exhibit two coexisting subpopulations, one with
synchronized oscillations and the other with unsynchronized oscillations, even though all of …
synchronized oscillations and the other with unsynchronized oscillations, even though all of …
Experimental observation of chimeras in coupled-map lattices
Networks of nonlocally coupled phase oscillators can support chimera states in which
identical oscillators evolve into distinct groups that exhibit coexisting synchronous and …
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
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 …
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 …
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 …
a subject of extensive research since they were first given a name in 2004. Increased …
Imperfect chimera states for coupled pendula
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 …
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 …
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 …
that are identically coupled, into subpopulations displaying synchronized and …