Synchronization features of target wave structures with an incoherent center

Bukh, Andrei V.; Strelkova, Galina I.; Анищенко, В. С.

doi:10.1016/j.chaos.2020.110002

Cited by 6 publications

(3 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, synchronization phenomena and chimera states on multiplex networks have been reported in the past for the FitzHugh-Nagumo oscillator (Ruzzene et al, 2020;Rybalova et al, 2021;Sawicki et al, 2021) where, by modifying the dynamics or the connectivity in one of the layers, one may influence the activity in the other layers. Similar studies have also been reported for synchronization phenomena in multiplex networks of van der Pol oscillators (Bukh et al, 2020;Shepelev et al, 2021) and the phase and Hindmarsh-Rose models (Maksimenko et al, 2016).…”

supporting

confidence: 84%

Synchronization in Multiplex Leaky Integrate-and-Fire Networks With Nonlocal Interactions

Anesiadis

Provata

2022

Front. Netw. Physiol.

View full text Add to dashboard Cite

We study synchronization phenomena in a multiplex network composed of two rings with identical Leaky Integrate-and-Fire (LIF) oscillators located on the nodes of the rings. Within each ring the LIF oscillators interact nonlocally, while between rings there are one-to-one inter-ring interactions. This structure is motivated by the observed connectivity between the two hemispheres of the brain: within each hemisphere the various brain regions interact with neighboring regions, while across hemispheres each region interacts, primarily, with the functionally homologous region. We consider both positive (excitatory) and negative (inhibitory) linking. We identify numerically various parameter regimes where the multiplex network develops coexistence of active and subthreshold domains, chimera states, solitary states, full coherence or incoherence. In particular, for weak inter-ring coupling (weak multiplexing) different synchronization patterns on the two rings are supported. These are stable and are obtained when the intra-ring coupling values are near the critical points separating qualitatively distinct synchronization regimes, e.g., between the travelling fronts regime and the chimera state one.

show abstract

supporting

confidence: 84%

Synchronization in Multiplex Leaky Integrate-and-Fire Networks With Nonlocal Interactions

Anesiadis

Provata

2022

Front. Netw. Physiol.

View full text Add to dashboard Cite

show abstract

“…Unfolding of such chimera patterns was first reported by Shima and Kuramoto [69] in a threecomponent reaction-diffusion model where the presence of nonlocality in the coupling induced the anomalous spiral dynamics. Later, the appearance of such exotic chimera patterns was verified theoretically in a handful [70][71][72][73][74][75] of RD and non-RD systems. Apart from these studies, there exist some experimental evidences [76][77][78] which reveal the emergence of spiral chimera states in coupled Belousov-Zhabotinsky chemical oscillators.…”

Section: Introductionmentioning

confidence: 89%

Amplitude mediated spiral chimera pattern in a nonlinear reaction-diffusion system

Kundu,

Muruganandam,

Ghosh

et al. 2021

Preprint

View full text Add to dashboard Cite

Formation of diverse patterns in spatially extended reaction-diffusion systems is an important aspect of study which is pertinent to many chemical and biological processes. Of special interest is the peculiar phenomenon of chimera state having spatial coexistence of coherent and incoherent dynamics in a system of identically interacting individuals. In the present article, we report the emergence of various collective dynamical patterns while considering a system of prey-predator dynamics in presence of a two-dimensional diffusive environment. Particularly, we explore the observance of four distinct categories of spatial arrangements among the species, namely spiral wave, spiral chimera, completely synchronized oscillations, and oscillation death states in a broad region of the diffusion-driven parameter space. Emergence of amplitude mediated spiral chimera states displaying drifted amplitudes and phases in the incoherent subpopulation is detected for parameter values beyond both Turing and Hopf bifurcations. Transition scenarios among all these distinguishable patterns are numerically demonstrated for a wide range of the diffusion coefficients which reveal that the chimera states arise during the transition from oscillatory to steady state dynamics. Furthermore, we characterize the occurrence of each of the recognizable patterns by estimating the strength of incoherent subpopulations in the two-dimensional space.

show abstract

“…It can be quite interesting to study synchronization in a multiplex network which includes two-dimensional (2D) lattices of oscillators. It is well known that 2D ensembles with the attractive coupling can demonstrate wave spatiotemporal regimes, such as spiral and target waves [41,44,45] and spiral and target wave chimeras [58,59,60,61]. This leads to an unexplored question about the dynamics of a 2D lattice with repulsive coupling.…”

Section: Introductionmentioning

confidence: 99%

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

Shepelev,

Muni,

Vadivasova

2021

Preprint

View full text Add to dashboard Cite

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 multiplex network has an attractive character. One layer of 2D lattices is characterized by attractive coupling of oscillators and demonstrates a spiral wave regime for both the local and nonlocal interaction. The oscillators in the second layer are coupled through active elements and the interaction between them has the repulsive character. We show that the lattice with the repulsive type of coupling demonstrates complex spatiotemporal cluster structures, which can be called as labyrinth-like structures. We show for the first time that this multiplex network with fundamentally different types of intralayer coupling demonstrates the mutual synchronization and a competition between two types of structures. Our numerical study indicates that the synchronization threshold and the type of spatiotemporal patterns in both the layers strongly depend on the ratio of the intra-layer coupling strength of the two lattices. We also analyze the impact of intra-layer coupling ranges on the synchronization effects.

show abstract

Synchronization features of target wave structures with an incoherent center

Cited by 6 publications

References 45 publications

Synchronization in Multiplex Leaky Integrate-and-Fire Networks With Nonlocal Interactions

Synchronization in Multiplex Leaky Integrate-and-Fire Networks With Nonlocal Interactions

Amplitude mediated spiral chimera pattern in a nonlinear reaction-diffusion system

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

Contact Info

Product

Resources

About