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 …

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 …

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 …

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 …

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 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 …

Emergence of synchronization in multiplex networks of mobile Rössler oscillators

S Majhi, D Ghosh, J Kurths - Physical Review E, 2019 - APS
Different aspects of synchronization emerging in networks of coupled oscillators have been
examined prominently in the last decades. Nevertheless, little attention has been paid on the …

Inter-layer synchronization on a two-layer network of unified chaotic systems: the role of network nodal dynamics

L Tang, J Wang, J Liang - Chaos, Solitons & Fractals, 2023 - Elsevier
The interplay between synchronization across layers and structures within layers still
remains far unclear in multi-layer networks. Via our newly-constructed two-layer network …

Collective synchronization in spatially extended systems of coupled oscillators with random frequencies

H Hong, H Park, MY Choi - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
We study collective behavior of locally coupled limit-cycle oscillators with random intrinsic
frequencies, spatially extended over d-dimensional hypercubic lattices. Phase …

Impact of sparse inter-layer coupling on the dynamics of a heterogeneous multilayer network of chaotic maps

EV Rybalova, GI Strelkova, VS Anishchenko - Chaos, Solitons & Fractals, 2021 - Elsevier
We numerically study the spatiotemporal dynamics of a heterogeneous two-layer network of
chaotic discrete-time systems. The multiplex network is described by uni-or bidirectionally …