Phase synchronizations in models of coupled oscillators such as the Kuramoto model have
been widely studied with pairwise couplings on arbitrary topologies, showing many …

By developing the concepts of strength of incoherence and discontinuity measure, we show
that a distinct quantitative characterization of chimera and multichimera states which occur in …

Large communities of biological oscillators show a prevalent tendency to self-organize in
time. This cooperative phenomenon inspired Winfree to formulate a mathematical model that …

We study phase synchronization in a chain of weakly coupled chaotic oscillators. In the
synchronous state, the phases of oscillators are locked, while the amplitudes remain chaotic …

We show that nonlinear delayed feedback opens up novel means for the control of
synchronization. In particular, we propose a demand-controlled method for powerful …

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 …

We give evidence that a population of pure contrarian globally coupled D-dimensional
Kuramoto oscillators reaches a collective synchronous state when the interplay between the …

We analyze the collective behavior of a set of coupled damped driven pendula with finite
(large) inertia, and show that the synchronization of the oscillators exhibits a first order …

Transition of firing modes via synapse is a crucial step in neural coding. The
neuron/synapse-like circuits have been proposed to simulate neural behaviors and …

Dynamical networks are important models for the behaviour of complex systems, modelling
physical, biological and societal systems, including the brain, food webs, epidemic disease …