Multistable Dissipative Breathers and Novel Collective States in SQUID Lieb Metamaterials

Abstract

A SQUID (Superconducting QUantum Interference Device) metamaterial on a Lieb lattice with nearest-neighbor coupling supports simultaneously stable dissipative breather families which are generated through a delicate balance of input power and intrinsic losses. Breather multistability is possible due to the peculiar snaking flux ampitude - frequency curve of single dissipative-driven SQUIDs, which for relatively high sinusoidal flux field amplitudes exhibits several stable and unstable solutions in a narrow frequency band around resonance. These breathers are very weakly interacting with each other, while multistability regimes with different number of simultaneously stable breathers persist for substantial intervals of frequency, flux field amplitude, and coupling coefficients. Moreover, the emergence of chimera states as well as novel temporally chaotic states exhibiting spatial homogeneity within each sublattice of the Lieb lattice is demonstrated.

11 pages, 9 figures, submitted to Physical Review E

References in corpus (15)

• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Explosive Synchronization Transitions in Scale-free Networks
• Observation of a localized flat-band state in a photonic Lieb lattice
• Observation of bound states in Lieb photonic lattices
• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
• Explosive first-order transition to synchrony in networked chaotic oscillators
• The Physics and Applications of Superconducting Metamaterials
• Progress in Superconducting Metamaterials
• Chimeras in SQUID Metamaterials
• Robust chimera states in SQUID metamaterials with local interactions
• Snaking and isolas of localised states in bistable discrete lattices
• Coherent Oscillations of Driven rf SQUID Metamaterials
• SQUID Metamaterials on a Lieb lattice: From flat-band to nonlinear localization
• Wide-Band Tuneability, Nonlinear Transmission, and Dynamic Multistability in SQUID Metamaterials
• Dissipative discrete breathers in rf SQUID metamaterials

Cited by in corpus (6)

• Pattern formation and chimera states in 2D SQUID metamaterials
• 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
• Impact of higher-order effects on dissipative soliton in metamaterials
• Tuning of Strong Nonlinearity in rf SQUID Meta-Atoms
• Effects of Strong Capacitive Coupling Between Meta-Atoms in rf SQUID Metamaterials