The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

Chaos-based encryption appeared recently in the early 1990s as an original application of
nonlinear dynamics in the chaotic regime. In this paper, an implementation of digital image …

Large populations of interacting active elements, periodic or chaotic, can undergo
spontaneous transitions to dynamically ordered states. These collective states are …

We consider a spin-1 model of strain pseudospins S (r ⃗)= 0,±1 that arise from a triple-well
Landau free energy for a square/rectangle or “austenite-martensite” structural transformation …

We show that chimera states, where differentiated subsets of synchronized and
desynchronized dynamical elements coexist, can emerge in networks of hyperbolic chaotic …

We examine the conditions under which spatial structure can mediate coexistence of
apparent competitors. We use a spatially explicit, host–parasitoid metapopulation model …

We show that dynamical clustering, where a system segregates into distinguishable subsets
of synchronized elements, and chimera states, where differentiated subsets of synchronized …

Coupling of chaotic oscillators can lead to dynamical clustering where elements
spontaneously differentiate into groups of synchronized oscillators. When the clusters are …

We study the stability of the fixed-point solution of an array of mutually coupled logistic maps,
focusing on the influence of the delay times, τ ij, of the interaction between the i th and j th …

We extend the concept of generalized synchronization of chaos, a phenomenon that occurs
in driven dynamical systems, to the context of autonomous spatiotemporal systems. It means …