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

I.A. Shepelev, A.V. Bukh, S.S. Muni and V.S. Anishchenko

Chaos, Solitons & Fractals, 2020, vol. 135, issue C

Abstract: 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 demonstrates a plethora of different spatiotemporal structures including chimera states when the coupling parameters are varied. Spiral wave chimeras are formed in the network when the coupling strength is rather large and the coupling range is short enough. Another type of chimeras is a target wave chimera. It is shown that solitary states play a crucial role in forming an incoherence cluster of this chimera state. They can also spread within the coherence cluster. Furthermore, when the coupling range increases, the target wave chimera evolves to the regime of solitary states which are randomly distributed in space. Growing the coupling strength leads to the attraction of solitary states to a certain spatial region, while the synchronous regime is set in the other part of the system. This spatiotemporal pattern represents a solitary state chimera, which is firstly found in the system of continuous-time oscillators. We offer the explanation of these phenomena and describe the evolution of the regimes in detail.

Keywords: Spatiotemporal pattern formation; Chimera state; van der Pol oscillator; Spiral wave; Spiral wave chimera; Target wave; Target wave chimera; Solitary state; Solitary state chimera; Nonlocal coupling (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301272

DOI: 10.1016/j.chaos.2020.109725

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