Bistable labyrinth-like structures and chimera states in a 2D lattice of van der Pol oscillators

DOI10.1016/j.cnsns.2020.105513zbMath1456.34035OpenAlexW3083862312MaRDI QIDQ2212039

Vadim S. Anishchenko, Igor A. Shepelev

Publication date: 17 November 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105513

zbMATH Keywords

spiral wavesLyapunov exponentbistabilityspatiotemporal patternnonlocal couplingspiral wave chimera

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Ordinary lattice differential equations (34A33)

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Cites Work

• Unnamed Item
• The dynamics of chimera states in heterogeneous Kuramoto networks
• Heteroclinic contours and self-replicated solitary waves in a reaction-diffusion lattice with complex threshold excitation
• Spiral waves in the Belousov-Zhabotinskii reaction
• Spiral waves in a model of myocardium
• Diffusion of autowaves. Evolution equation for slowly varying autowaves
• Spiral wave chimera in two-dimensional nonlocally coupled FitzHugh-Nagumo systems
• Mechanisms of appearance of amplitude and phase chimera states in ensembles of nonlocally coupled chaotic systems
• Double-well chimeras in 2D lattice of chaotic bistable elements
• Variety of spatio-temporal regimes in a 2D lattice of coupled bistable FitzHugh-Nagumo oscillators. Formation mechanisms of spiral and double-well chimeras
• Spiral wave patterns in a two-dimensional lattice of nonlocally coupled maps modeling neural activity
• The dynamics of two coupled van der Pol oscillators with attractive and repulsive coupling
• Spectral properties of chimera states
• Plane Wave Solutions to Reaction-Diffusion Equations
• New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps
• Chimera states and intermittency in an ensemble of nonlocally coupled Lorenz systems
• Generalized synchronization between chimera states
• Spiral Waves in Reaction-Diffusion Equations
• Mathematical Analysis of Random Noise

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