Chimeras
Chimeras are this year coming of age since they were first observed by Kuramoto and
Battogtokh in 2002 in a one-dimensional network of complex Ginzburg–Landau equations …
Battogtokh in 2002 in a one-dimensional network of complex Ginzburg–Landau equations …
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
Many biological and neural systems can be seen as networks of interacting periodic
processes. Importantly, their functionality, ie, whether these networks can perform their …
processes. Importantly, their functionality, ie, whether these networks can perform their …
Phase reduction beyond the first order: The case of the mean-field complex Ginzburg-Landau equation
Phase reduction is a powerful technique that makes possible to describe the dynamics of a
weakly perturbed limit-cycle oscillator in terms of its phase. For ensembles of oscillators, a …
weakly perturbed limit-cycle oscillator in terms of its phase. For ensembles of oscillators, a …
Synchronization and chimeras in a network of four ring-coupled thermoacoustic oscillators
We take a complex systems approach to investigating experimentally the collective
dynamics of a network of four self-excited thermoacoustic oscillators coupled in a ring. Using …
dynamics of a network of four self-excited thermoacoustic oscillators coupled in a ring. Using …
Effects of partial time delays on synchronization patterns in Izhikevich neuronal networks
Synchronization patterns have been observed in neuronal networks and are related to many
cognitive functions and information processing and even some pathological brain states. In …
cognitive functions and information processing and even some pathological brain states. In …
Chimeras in globally coupled oscillators: A review
The surprising phenomenon of chimera in an ensemble of identical oscillators is no more
strange behavior of network dynamics and reality. By this time, this symmetry breaking self …
strange behavior of network dynamics and reality. By this time, this symmetry breaking self …
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 …
Experimental investigation on the susceptibility of minimal networks to a change in topology and number of oscillators
Understanding the global dynamical behavior of a network of coupled oscillators has been a
topic of immense research in many fields of science and engineering. Various factors govern …
topic of immense research in many fields of science and engineering. Various factors govern …
[HTML][HTML] Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators
Despite their simplicity, networks of coupled phase oscillators can give rise to intriguing
collective dynamical phenomena. However, the symmetries of globally and identically …
collective dynamical phenomena. However, the symmetries of globally and identically …
Networks of coupled oscillators: from phase to amplitude chimeras
We show that amplitude-mediated phase chimeras and amplitude chimeras can occur in the
same network of nonlocally coupled identical oscillators. These are two different partial …
same network of nonlocally coupled identical oscillators. These are two different partial …