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 …

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 …

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 …

Edges of inter-layer synchronization in multilayer networks with time-switching links

M Cenk Eser, ES Medeiros, M Riza… - … Journal of Nonlinear …, 2021 - pubs.aip.org
We investigate the transition to synchronization in a two-layer network of oscillators with time-
switching inter-layer links. We focus on the role of the number of inter-layer links and the …

Symmetries and synchronization in multilayer random networks

A Saa - Physical Review E, 2018 - APS
In the light of the recently proposed scenario of asymmetry-induced synchronization
(AISync), in which dynamical uniformity and consensus in a distributed system would …

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 …

Synchronization-desynchronization transitions in complex networks: an interplay of distributed time delay and inhibitory nodes

C Wille, J Lehnert, E Schöll - Physical Review E, 2014 - APS
We investigate the combined effects of distributed delay and the balance between excitatory
and inhibitory nodes on the stability of synchronous oscillations in a network of coupled …

Synchronization in a lattice of coupled van der Pol systems

CH Chiu, WW Lin, CS Wang - International Journal of Bifurcation …, 1998 - World Scientific
We consider a lattice of coupled van der Pol systems with external periodic forces and
Dirichlet boundary conditions. Under the assumption of bounded dissipativeness, we prove …