In coupled chaotic bistable systems such as Lorenz and Chua oscillators, two-phase domains are formed. The dynamics of each domain is confined to one phase and typically exhibits two types of behavior: oscillation death or nearly periodic oscillations. We elucidate the role of intrinsic broad time scales on the confinement and the oscillation death.
We investigate the threshold behaviour of transmission resonances and quasibound states in the multichannel scattering problems of a one-dimensional (1D) time-dependent impurity potential, and the related problem of a single impurity in a quasi-1D wire. It was claimed before in the literature that a quasibound state disappears when a transmission zero… (More)
We investigated the physical mechanism for the pattern transition from square lattice to stripes, which appears in vertically oscillating granular layers. We present a continuum model to show that the transition depends on the competition between inertial force and local saturation of transport. By introducing multiple free-flight times, this model further… (More)
The scaling properties of a random walker subject to the global constraint that it needs to visit each site an even number of times are determined. Such walks are realized in the equilibrium state of one-dimensional surfaces that are subject to dissociative-dimer-type surface dynamics. Moreover, they can be mapped onto unconstrained random walks on a random… (More)
The dynamics of coupled chaotic bistable systems are studied. Two-phase domains are formed and do not alternate with each other contrary to the switching of an uncoupled single oscillator. Typically, domains show two types of behavior-amplitude deaths or frequency synchronizations. Such properties appear universal for chaotic bistable systems with broad… (More)
In coupled chaotic bistable systems such as Lorenz and Chua oscillators, two-phase domains corresponding to two lobes are formed. The dynamics of each domain is confined to one lobe and typically exhibits one of the two types of behavior: oscillation death or nearly periodic oscillations. We elucidate the role of intrinsic broad time scales on the… (More)