Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
arXiv:1707.01266 · doi:10.1063/1.4993459
Abstract
We report the emergence of coexisting synchronous and asynchronous subpopulations of oscillators in one dimensional arrays of identical oscillators by applying a self-feedback control. When a self-feedback is applied to a subpopulation of the array, similar to chimera states, it splits into two/more sub-subpopulations coexisting in coherent and incoherent states for a range of self-feedback strength. By tuning the coupling between the nearest neighbors and the amount of self-feedback in the perturbed subpopulation, the size of the coherent and the incoherent sub-subpopulations in the array can be controlled, although the exact size of them is unpredictable. We present numerical evidence using the Landau-Stuart (LS) system and the Kuramoto-Sakaguchi (KS) phase model.
13 pages, 13 figures, accepted for publication in CHAOS (July 2017)
References in corpus (31)
- Chimera States for Coupled Oscillators
- Synchronization in Complex Oscillator Networks and Smart Grids
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Spontaneous synchrony in power-grid networks
- Chimera States in Mechanical Oscillator Networks
- Symmetries, Cluster Synchronization, and Isolated Desynchronization in Complex Networks
- Chimera states: The Existence Criteria Revisited
- Chimera-like states in an ensemble of globally coupled oscillators
- Chimera states in uncoupled neurons induced by a multilayer structure
- Observation and characterization of chimera states in coupled dynamical systems with nonlocal coupling
- Chimera states in bursting neurons
- Laser Chimeras as a paradigm for multi-stable patterns in complex systems
- Chimeras in networks with purely local coupling
- Chimera-like states in modular neural networks
- Chimera states: Effects of different coupling topologies
- Experimental observation of chimera and cluster states in a minimal globally coupled network
- Controlling unstable chaos: Stabilizing chimera states by feedback
- Amplitude-phase coupling drives chimera states in globally coupled laser networks
- Imperfect traveling chimera states induced by local synaptic gradient coupling
- Localized coherence in two interacting populations of social agents
- Controlling Chimeras
- Chimera patterns induced by distance-dependent power-law coupling in ecological networks
- Basin stability for chimera states
- Chimeralike states in a network of oscillators under attractive and repulsive global coupling
- Chimeras in SQUID Metamaterials
- Robust chimera states in SQUID metamaterials with local interactions
- Birth and Death of Chimera: Interplay of Delay and Multiplexing
- Mechanism for intensity induced chimera states in globally coupled oscillators
- Emergence of chimera in multiplex network
- Controlling Chimera States - The influence of excitable units
- Coherent libration to coherent rotational dynamics via chimeralike states and clustering in Josephson Junction array
Cited by in corpus (11)
- Higher-order interactions promote chimera states
- Alternating chimeras in networks of ephaptically coupled bursting neurons
- Chimera states in two-dimensional networks of locally coupled oscillators
- Non-identical multiplexing promotes chimera states
- Resumption of dynamism in damaged networks of coupled oscillators
- Enhancement of dynamical robustness in a mean-field coupled network through self-feedback delay
- Engineering chimera patterns in networks using heterogeneous delays
- Spiral wave chimera-like transient dynamics in three-dimensional grid of diffusive ecological systems
- Taming Chimeras in Networks through Multiplexing Delays
- Regulating dynamics through intermittent interactions
- From Order to Chimeras: Unraveling Dynamic Patterns in Active Fluids with Nonlinear Growth