Variety of spatio-temporal regimes in a 2D lattice of coupled bistable FitzHugh-Nagumo oscillators. Formation mechanisms of spiral and double-well chimeras

DOI10.1016/j.cnsns.2019.104925OpenAlexW2966417642MaRDI QIDQ2207108

Yanyan Li

Publication date: 22 October 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.2019.104925

zbMATH Keywords

spiral wavesLyapunov exponentbistabilitychimera statenonlocal couplingFitzHugh-Nagumo oscillatorlattice of oscillatorsspiral Chimera

Mathematics Subject Classification ID

Neural biology (92C20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

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Cites Work

• Unnamed Item
• Non-identical multiplexing promotes chimera states
• Chemical oscillations, waves, and turbulence
• Rotating wave solutions of the FitzHugh-Nagumo equations
• Heteroclinic contours and self-replicated solitary waves in a reaction-diffusion lattice with complex threshold excitation
• Rotating spiral waves in a modified Fitz-Hugh-Nagumo model
• Synergetic phenomena in active lattices. Patterns, waves, solitons, chaos
• Bifurcations of spatiotemporal structures in a medium of FitzHugh-Nagumo neurons with diffusive coupling
• Synchronization of Chimera states in a network of many unidirectionally coupled layers of discrete maps
• 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
• Synchronization in oscillatory networks
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• Forced Entrainment and Elimination of Spiral Waves for the FitzHugh-Nagumo Equation
• New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps
• Generalized synchronization between chimera states
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Scroll waves in spherical shell geometries
• Mathematical Analysis of Random Noise

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