We study the stationary states of networks consisting of weakly coupled bistable units. We prove the existence of a high multiplicity of stable steady states in networks with very general inter-unit dynamics. We present a method for estimating the critical coupling strength below which these stationary states persist in the network. In some cases, the presence of time-independent localized stat...

We investigate stresses and particle motion during the start-up of flow in a colloidal dispersion close to arrest into a glassy state. A combination of molecular dynamics simulation, mode-coupling theory and confocal microscopy experiments is used to investigate the origins of the widely observed stress overshoot and (previously not reported) super-diffusive motion in the transient dynamics. A ...

This article is concerned with the spatial coupling of a lattice Boltzmann model (LBM) and the finite difference discretization of the corresponding partial differential equation (PDE). At the interface, we have a one-to-many problem since the macroscopic PDE variables have to be mapped to more LBM variables. We show how this mapping can be done either analytically, using results from the Chapm...

Cross-spectral and synchronization analysis of two independent, identical chaotic Rössler systems suggest a coupling although there is no interaction. This spuriously detected interaction can either be explained by the absence of mixing or by finite size effects. To decide which alternative holds the phase dynamics is studied by a model of the fluctuations derived from the system's equations. T...

This article presents a simple synchronization framework with application to synchronization control of formation flying spacecraft. A dynamical network of multiple Lagrangian systems is constructed by adding diffusive couplings to otherwise freely flying spacecraft. The proposed tracking control law synchronizes an arbitrary number of spacecraft into a common time-varying trajectory with globa...

Amplitude equations are derived that describe the spatiotemporal dynamics of cardiac alternans during periodic pacing of one- [B. Echebarria and A. Karma, Phys. Rev. Lett. 88, 208101 (2002)] and two-dimensional homogeneous tissue and one-dimensional anatomical reentry in a ring of homogeneous tissue. These equations provide a simple physical understanding of arrhythmogenic patterns of period-do...

We theoretically propose that an electric voltage can be generated by thermal gradient with a rotating skyrmion crystal confined in magnetic disk. find the rotation of induced diffusive magnon currents presence temperature gives rise to spinmotive forces radial direction through coupling conduction-electron spins. The amplitude force is larger for at lower temperature. proposed phenomenon explo...

We investigate the open dynamics of a chain interacting spins using quantized version general equation for nonequilibrium reversible-irreversible coupling from classical out-of-equilibrium thermodynamics. focus on both equilibrium and scenarios chains different sizes. Whereas in case we demonstrate thermal equilibration to correct many-body Gibbs density matrix, show ballistic-to-diffusive tran...

We consider two stable heteroclinic cycles rotating in opposite directions, coupled via diffusive terms. A complete synchronization this system is impossible, and numerical exploration shows that chaos abundant at low levels of coupling. With increase coupling strength, several symmetry-changing transitions are observed, finally a periodic orbit appears an inverse period-doubling cascade. To re...