The application of methods drawn from nonlinear and stochastic dynamics to the analysis of
cardiovascular time series is reviewed, with particular reference to the identification of …

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 …

Chimera states, representing a spontaneous breakup of a population of identical oscillators
that are identically coupled, into subpopulations displaying synchronized and …

Spiral waves are ubiquitous in two-dimensional systems of chemical or biological oscillators
coupled locally by diffusion. At the center of such spirals is a phase singularity, a topological …

We investigate the possibility of obtaining chimera state solutions of the nonlocal complex
Ginzburg-Landau equation (NLCGLE) in the strong coupling limit when it is important to …

In this paper, we propose a retrospective and summary on recent studies of chimera states.
Chimera states demonstrate striking inhomogeneous spatiotemporal patterns emerging in …

Chimera states occur in networks of coupled oscillators, and are characterized by having
some fraction of the oscillators perfectly synchronized, while the remainder are …

Regular lattices comprising superconducting quantum interference devices (SQUIDs) form
magnetic metamaterials exhibiting extraordinary properties, including tunability, dynamic …

We study a triangular network of three populations of coupled phase oscillators with
identical frequencies. The populations interact nonlocally, in the sense that all oscillators are …

Abstract An extended Morris–Lecar neuron model incorporating electromagnetic flux
coupling and external excitation is proposed. The complete dynamical behavior of the new …