Amplitude mediated chimera states

Abstract

We investigate the possibility of obtaining chimera state solutions of the non-local Complex Ginzburg-Landau Equation (NLCGLE) in the strong coupling limit when it is important to retain amplitude variations. Our numerical studies reveal the existence of a variety of amplitude mediated chimera states (including stationary and non-stationary two cluster chimera states), that display intermittent emergence and decay of amplitude dips in their phase incoherent regions. The existence regions of the single-cluster chimera state and both types of two cluster chimera states are mapped numerically in the parameter space of $C_1$ and $C_2$ the linear and nonlinear dispersion coefficients respectively of the NLCGLE. They represent a new domain of dynamical behaviour in the well explored rich phase diagram of this system. The amplitude mediated chimera states may find useful applications in understanding spatio-temporal patterns found in fluid flow experiments and other strongly coupled systems.

5 pages, 3 figures, to appear in Phys. Rev. E

References in corpus (8)

• Chimera States in Mechanical Oscillator Networks
• When Nonlocal Coupling Between Oscillators Becomes Stronger: Patched Synchrony or Multi-Chimera States
• Clustered chimera states in delay coupled oscillator systems
• Computational Study of Turbulent-Laminar Patterns in Couette Flow
• Chimera states in heterogeneous networks
• Spontaneous Synchrony Breaking
• Chimera states on a flat torus
• Chimera Ising Walls in Forced Nonlocally Coupled Oscillators

Cited by in corpus (63)

• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
• Chimera states: The Existence Criteria Revisited
• Robustness of chimera states for coupled FitzHugh-Nagumo oscillators
• Coherence-resonance chimeras in a network of excitable elements
• Chimera states in bursting neurons
• A classification scheme for chimera states
• Chimera states: Effects of different coupling topologies
• Chimera states in brain networks: empirical neural vs. modular fractal connectivity
• Amplitude-phase coupling drives chimera states in globally coupled laser networks
• Imperfect traveling chimera states induced by local synaptic gradient coupling
• Chimera states in time-varying complex networks
• Chimera patterns induced by distance-dependent power-law coupling in ecological networks
• Basin stability for chimera states
• Nonlinearity of local dynamics promotes multi-chimeras
• Chimeralike states in a network of oscillators under attractive and repulsive global coupling
• Chimera states in population dynamics: networks with fragmented and hierarchical connectivities
• Chimera patterns under the impact of noise
• Basins of Attraction for Chimera States
• A Tweezer for Chimeras in Small Networks
• Hyperbolicity impedes emergence of chimera states in networks of nonlocally coupled chaotic oscillators
• Alternating chimeras in networks of ephaptically coupled bursting neurons
• Chimera states in two-dimensional networks of locally coupled oscillators
• Self-organized alternating chimera states in oscillatory media
• Mechanism for intensity induced chimera states in globally coupled oscillators
• Chimera states in complex networks: interplay of fractal topology and delay
• Amplitude chimeras and chimera death in dynamical networks
• Clustered Chimera States in Systems of Type-I Excitability
• The changing notion of chimera states, a critical review
• Control of amplitude chimeras by time delay in dynamical networks
• Networks of coupled oscillators: from phase to amplitude chimeras
• Small Chimera States without Multistability in a Globally Delay-Coupled Network of Four Lasers
• Mechanism for Strong Chimeras
• Chimera States in Continuous Media: Existence and Distinctness
• Chimera patterns in the Kuramoto-Battogtokh model
• Delay-induced chimeras in neural networks with fractal topology
• Critical Switching in Globally Attractive Chimeras
• Coherent libration to coherent rotational dynamics via chimeralike states and clustering in Josephson Junction array
• Transitions from chimeras to coherence: An analytical approach by means of the coherent stability function
• Isotropy of Angular Frequencies and Weak Chimeras With Broken Symmetry
• Amplitude chimera and chimera death induced by external dynamical agents
• Chimera states in a population of identical oscillators under planar cross-coupling
• Phase-flip chimera induced by environmental nonlocal coupling
• Traveling chimera patterns in two-dimensional neuronal network
• Phase chimera states on non-local hyperrings
• Spiral wave chimeras in reaction-diffusion systems: phenomenon, mechanism and transitions
• Genesis of chimera patterns through self-induced stochastic resonance
• Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators
• Frequency chimera state induced by differing dynamical timescales
• Chimera states in multi-strain epidemic models with temporary immunity
• Chimera states and the interplay between initial conditions and non-local coupling
• Diverse coherence-resonance chimeras in coupled type-I excitable systems
• Amplitude Mediated Chimera States with Active and Inactive Oscillators
• Amplitude mediated spiral chimera pattern in a nonlinear reaction-diffusion system
• Collective dynamics of globally delay-coupled complex Ginzburg-Landau oscillators
• Cellular automaton for chimera states
• Arnol'd Tongues in Oscillator Systems with Nonuniform Spatial Driving
• Noise-induced chimera states in a neural network
• Nonequilibrium thermodynamic characterization of chimeras in a continuum chemical oscillator system
• Chimera states in quantum mechanics
• Nonequilibrium thermodynamic signatures of collective dynamical states around chimera in a chemical reaction network
• Regulating protocols of globally coupled continuum systems: Effects on dynamics and thermodynamics
• Spiral wave chimeras in populations of oscillators coupled to a slowly varying diffusive environment