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


nonlocal coupling

Approaches to study of multistability in spatio-temporal dynamics of two-age population

Purpose of the work is to study spatio-temporal dynamics of limited two-age structured populations that populate a 2D habitat and capable of long-range displacement of individuals. We proposed the model that is the network of nonlocally coupled nonlinear maps with nonlinear coupling function. Conditions for the emergence of different types of heterogeneous spatial distribution, combining coherent and incoherent regimes in different sites and solitary states are studied. Methods.

Autowave structures in two-dimensional lattices of nonlocally coupled oscillators

Objective. The aim of the research was to compare the dynamics of spiral and target structures including the dynamics of chimera states in ensembles with different nodes. Numeric simulations for autowave structures in two-dimensional ensembles of coupled van der Pol oscillators and Rulkov’s maps were performed. Cases of local and nonlocal coupling between ensemble nodes were considered. Methods. The evolution dynamics of Rulkov’s map lattice is strictly defined with corresponding recurrent formulae.