In this study, we investigate switching synchronization phenomena which are observed in coupled chaotic maps. Two logistic maps with generating intermittency chaos near three periodic window are coupled as a CML coupling topology. Moreover, we compare obtained synchronization states of coupled maps with coupled chaotic circuits.

Dynamic properties are investigated in the coupled system of three maps with symmetric nearest neighbor coupling and periodic boundary conditions. The dynamics of the system is controlled by certain coupling parameters. We show that, for some values of the parameters, the system exhibits nontrivial collective behavior, such as multiple bifurcations, and chaos. We give computer simulations to su...

in this paper we prove a unique common coupled fixed point theorem for two pairs of $w$-compatible mappings in $s_b$-metric spaces satisfying a contrctive type condition. we furnish an example to support our main theorem. we also give a corollary for junck type maps.

Coupled map models with variable connection weights between the units are considered. A generally observed feature in this type of models is the appearance of units with massive outgoing connections. Such structure formation is the result of feedback between unit and connection dynamics.

In this paper we prove a unique common coupled fixed point theorem for two pairs of $w$-compatible mappings in $S_b$-metric spaces satisfying a contrctive type condition. We furnish an example to support our main theorem. We also give a corollary for Junck type maps.

We study the scaling behavior of M -furcation (M =2, 3, 4, . . .) sequences of M-period (n = 1, 2, . . .) orbits in two coupled one-dimensional (1D) maps. Using a renormalization method, how the scaling behavior depends on M is particularly investigated in the zero-coupling case in which the two 1D maps become uncoupled. The zero-coupling fixed map of the M -furcation renormalization transforma...

The critical behavior for intermittency is studied in two coupled one-dimensional (1D) maps. We find two fixed maps of an approximate renormalization operator in the space of coupled maps. Each fixed map has a common relavant eigenvalue associated with the scaling of the control parameter of the uncoupled one-dimensional map. However, the relevant “coupling eigenvalue” associated with coupling ...

We introduce a new method for determining the global stability of synchronization in systems of coupled identical maps. The method is based on the study of invariant measures. Besides the simplest non-trivial example, namely two symmetrically coupled tent maps, we also treat the case of two asymmetrically coupled tent maps as well as a globally coupled network. Our main result is the identifica...

We study non-trivial firing patterns in small assemblies of pulse-coupled oscillatory maps. We find conditions for the existence of waves in rings of coupled maps that are coupled bi-directionally. We also find conditions for stable synchrony in general all-to-all coupled oscillators. Surprisingly, we find that for maps that are derived from physiological data, the stability of synchrony depend...