ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


spatial structures

Wave processes in a ring of memristively coupled self-excited oscillators

The purpose of this work is to reveal intrinsic peculiarities of the dynamics and spatial structure formation in an ensemble of the coupled van der Pol self-oscillators in a case of memristive coupling. Two models of memristive coupling are considered: an idealised memristive model and a real one exhibiting the effect of «forgetting» of an initial state after a long time. Methods. Numerical simulation of the equations describing the system under study by means of the fourthorder Runge–Kutta method is carried out.

Strange waves in the ensemble of van der Pol oscillators

The purpose of this paper is to study the processes of spatial disorder and the development of phase multistability in a discrete medium of anharmonic oscillators. Methods. An ensemble of diffusively coupled van der Pol oscillators is used as a model of discrete anharmonic medium. The model is investigated by numerical simulation; its phase dynamics is studied. The formed spatial structures are visualized by means of phase difference distribution. Results.

External synchronization of traveling waves in an active medium in self-sustained and excitable regime

The model of a one-dimensional active medium, which cell represents FitzHugh–Nagumo oscillator, is studied with periodical boundary conditions. Such medium can be either self-oscillatory or excitable one in dependence of the parameters values. Periodical boundary conditions provide the existence of traveling wave regimes both in excitable anself-oscillatory case without any deterministic or stochastic impacts.