Controlled Generation of Chimera States in SQUID Metasurfaces using DC Flux Gradients
arXiv:1902.01711 · doi:10.1016/j.chaos.2019.109413
Abstract
SQUID (Superconducting QUantum Interference Device) metamaterials, subject to a time-independent (dc) flux gradient and driven by a sinusoidal (ac) flux field, support chimera states that can be generated with zero initial conditions. The dc flux gradient and the amplitude of the ac flux can control the number of desynchronized clusters of such a generated chimera state (i.e., its `heads') as well as their location and size. The combination of three measures, i.e., the synchronization parameter averaged over the period of the driving flux, the incoherence index, and the chimera index, is used to predict the generation of a chimera state and its multiplicity on the parameter plane of the dc flux gradient and the ac flux amplitude. Moreover, the full-width half-maximum of the distribution of the values of the synchronization parameter averaged over the period of the ac driving flux, allows to distinguish chimera states from non-chimera, partially synchronized states.
arXiv comment7 pages, 5 figures, submitted to Physical Review E
References in corpus (30)
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
- Rotating Spiral Waves with Phase-Randomized Core in Non-locally Coupled Oscillators
- Metastable Chimera States in Community-Structured Oscillator Networks
- The Physics and Applications of Superconducting Metamaterials
- Observation and characterization of chimera states in coupled dynamical systems with nonlocal coupling
- A classification scheme for chimera states
- Superconducting Metamaterials
- Progress in Superconducting Metamaterials
- Controlling unstable chaos: Stabilizing chimera states by feedback
- Controlling Chimeras
- Chimeras in SQUID Metamaterials
- Robust chimera states in SQUID metamaterials with local interactions
- Delayed-feedback chimera states: Forced multiclusters and stochastic resonance
- Controlling Chimera States - The influence of excitable units
- Pattern Formation in a Two-Dimensional Array of Oscillators with Phase-Shifted Coupling
- A one-dimensional tunable magnetic metamaterial
- Realization and modeling of rf superconducting quantum interference device metamaterials
- Multistability and Self-Organization in Disordered SQUID Metamaterials
- Flux bias-controlled chaos and extreme multistability in SQUID oscillators
- Coherent Oscillations of Driven rf SQUID Metamaterials
- Chimera states and synchronization in magnetically driven SQUID metamaterials
- Multi-clustered chimeras in large semiconductor laser arrays with nonlocal interactions
- Wide-Band Tuneability, Nonlinear Transmission, and Dynamic Multistability in SQUID Metamaterials
- Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators
- Dissipative discrete breathers in rf SQUID metamaterials
- Engineering chimera patterns in networks using heterogeneous delays
- Imaging collective behavior in an rf-SQUID metamaterial tuned by DC and RF magnetic fields
- Chimera states in networks of locally and non-locally coupled SQUIDs
- Phase-sensitive imaging of microwave currents in superconductive circuits