Synchronization of wave structures in a heterogeneous multiplex network of 2D lattices with attractive and repulsive intra-layer coupling

IA Shepelev, SS Muni, TE Vadivasova - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
We explore numerically the synchronization effects in a heterogeneous two-layer network of
two-dimensional (2D) lattices of van der Pol oscillators. The inter-layer coupling of the …

Repulsive inter-layer coupling induces anti-phase synchronization

IA Shepelev, SS Muni, E Schöll… - … Interdisciplinary Journal of …, 2021 - pubs.aip.org
We present numerical results for the synchronization phenomena in a bilayer network of
repulsively coupled 2D lattices of van der Pol oscillators. We consider the cases when the …

Anti-phase synchronization of waves in a multiplex network of van der Pol oscillators

IA Shepelev, AV Bukh, GI Strelkova - Chaos, Solitons & Fractals, 2022 - Elsevier
We study numerically the spatiotemporal dynamics and anti-phase synchronization of
complex structures in a two-layer multiplex network of bidirectionally and repulsively …

Anti-phase relay synchronization of wave structures in a heterogeneous multiplex network of 2D lattices

IA Shepelev, AV Bukh, GI Strelkova… - Chaos, Solitons & …, 2021 - Elsevier
We explore numerically relay synchronization of wave structures in a heterogeneous three-
layer network of coupled two-dimensional (2D) lattices of continuous-time systems. Remote …

Synchronization effects for dissipative and inertial coupling between multiplex lattices

IA Shepelev, AV Bukh, TE Vadivasova… - … in Nonlinear Science …, 2021 - Elsevier
We analyse the synchronization of spatiotemporal patterns based on spiral and target
waves, which are realized in a multiplex network consisting of two nonidentical 2D lattices of …

Synchronization of spiral wave patterns in two-layer 2D lattices of nonlocally coupled discrete oscillators

AV Bukh, E Schöll, VS Anishchenko - Chaos: An Interdisciplinary …, 2019 - pubs.aip.org
The paper describes the effects of mutual and external synchronization of spiral wave
structures in two coupled two-dimensional lattices of coupled discrete-time oscillators. Each …

Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: effects of network topology

I Vragović, E Louis, CDE Boschi, G Ortega - Physica D: Nonlinear …, 2006 - Elsevier
The question of how network topology influences emergent synchronized oscillations in
excitable media is addressed. Coupled van der Pol–FitzHugh–Nagumo elements arranged …

Synchronization in multiplex networks of chaotic oscillators with frequency mismatch

IA Shepelev, TE Vadivasova - Chaos, Solitons & Fractals, 2021 - Elsevier
We explore numerically inter-layer synchronization of spatiotemporal patterns in a
heterogeneous bilayer network of nonlocally coupled Rössler oscillators. Both layers exhibit …

Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators

IA Shepelev, AV Bukh, SS Muni… - Chaos, Solitons & …, 2020 - Elsevier
We describe spatiotemporal patterns in a network of identical van der Pol oscillators coupled
in a two-dimensional geometry. In this study, we show that the system under study …

Spatiotemporal patterns in a 2D lattice with linear repulsive and nonlinear attractive coupling

IA Shepelev, SS Muni, TE Vadivasova - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
We explore the emergence of a variety of different spatiotemporal patterns in a 2D lattice of
self-sustained oscillators, which interact nonlocally through an active nonlinear element. A …