Moving spiral wave chimeras
Nettet1. aug. 2024 · Europe PMC is an archive of life sciences journal literature. In contrast to other known spiral chimeras with motionless incoherent cores, the two-core spiral chimeras typically show a drift motion. Due to this drift, their incoherent cores become spatially modulated and develop specific fingerprint patterns of varying synchrony levels.
Moving spiral wave chimeras
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NettetFor fractal coupling schemes spiral wave chimeras are produced and curious stable patterns are reported, which present triple coexistence of coherent regions, incoherent domains and traveling waves. NettetWe identify fold, Hopf, and parity-breaking bifurcations as the main mechanisms whereby spiral chimeras can lose stability. Beyond these bifurcations we find new spatio-temporal patterns, in particular quasiperiodic chimeras and D 2 -symmetric spiral chimeras, as well as drifting states. Keywords coupled oscillators coherence-incoherence patterns
Nettet"Solvable Model of Spiral Wave Chimeras" E. A. Martens, C. R. Laing and S. H. Strogatz. Physical Review Letters (Vol. 104, 044101, 2010). PDF. (Note that Fig. 4 here is slightly different from that in the published version.) "Reduced models for binocular rivalry." Nettet21. jan. 2024 · We study traveling wave solutions relevant to traveling chimera states in the coupled oscillator system. In particular, we derive and rigorously justify asymptotic formulas for traveling wave...
Nettet19. jan. 2024 · For spiral wave chimeras the initial condition is given by a phase distribution with a phase singularity ( 4.40 ), whereas the d -clusters with d=1,2 are … Nettet4. des. 2024 · Spiral wave chimeras — or, more generally, chimera states — are hybrid states characterized by the coexistence of localized synchronized and unsynchronized …
NettetIt is firstly shown that this discrete-time neural network can exhibit spiral and target waves and corresponding chimera states when the control parameters (the coupling stren … Spiral and target wave chimeras in a 2D lattice of map-based neuron models Chaos. 2024 Oct;29(10):101104. doi: 10.1063/1.5126178. ...
Nettet1. aug. 2024 · The spiral wave chimeras are extended to appear also in the paradigmatic Stuart–Landau system of amplitude–phase oscillators with space-dependent delays, for which the chimeric patterns appear not only in the phase but simultaneously in phase and amplitude. 2. Governing equations 2.1. Model shiny log to consoleNettetThe chimera state is a recently discovered dynamical phenomenon in arrays of nonlocally coupled oscillators, that displays a self-organized spatial pattern of coexisting coherence and incoherence. In… Expand 95 PDF Rotating spiral waves with phase-randomized core in nonlocally coupled oscillators. S. Shima, Y. Kuramoto Physics Physical review. shiny log fileNettet1. sep. 2024 · Abstract. Spiral wave chimeras with spatially extended unsynchronized cores have been reported in nonlocally coupled phase oscillators and chaotic … shiny locked pokemon shining pearlNettet5. okt. 2024 · Therefore, many feasible schemes have also been presented to suppress spiral waves and turbulence, where they can be eliminated by local periodic perturbation [ 40, 41, 42 ], moving localized inhomogeneous obstacle [ 20 ], a rotating electric field [ 43, 44 ], external periodic forcing [ 45 ], weak spatial wave [ 46 ], chaotic signals [ 47 ], … shiny logo blenderNettetMoving spiral wave chimeras. We consider a two-dimensional array of heterogeneous nonlocally coupled phase oscillators on a flat torus and study the bound states of … shiny logsNettet24. nov. 2024 · Chimera states consisting of synchronous and asynchronous domains in a medium of nonlinearly coupled phase oscillators have been considered. Stationary inhomogeneous solutions of the Ott–Antonsen equation for a complex order parameter that correspond to fundamental chimeras have been constructed. shiny locks legends arceusNettet28. aug. 2024 · First, the transition from target to spiral structures is possible. If, e.g., we take a target wave with ω = 0.9 and σ = 0.75 as the initial structure in a locally coupled … shiny locked pokemon sword shield