We study a coupled map lattice model with two states: a simple xed point and spatio-temporal chaos. Preparing properly initial conditions, we investigate the dynamics of the interface between order and chaos. In the one-dimensional lattice regimes of irregular and regular front propagation behavior are observed and analyzed by introducing a local front map and a front Lyapunov exponent. Corresp...

A class of globally coupled one dimensional maps is studied. For the uncoupled one dimensional map it is possible to compute the spectrum of Liapunov exponents exactly, and there is a natural equilibrium measure (Sinai-Ruelle-Bowen measure), so the corresponding `typical' Liapunov exponent may also be computed. The globally coupled systems thus provide examples of blowout bifurcations in arbitr...

in this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. in fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. some examples are provided to verify the effectiveness and applicability of our results.

In this paper the fractional order logistic map in sense of Caputo's differences is numerically approached. It shown that necessary iterations number to avoid transients must be thousand, not hundreds as commonly used several works. Also, it revealed an interesting phenomenon according which for every initial condition correspond a different bifurcation diagram. This seems appear also other FO ...

The invariant Cantor sets of the logistic map gμ(x) = μx(1 − x) for μ > 4 are hyperbolic and form a continuous family. We show that this family can be obtained explicitly through solutions of infinitely coupled differential equations due to the hyperbolicity. The same result also applies to the tent map Ta(x) = a(1/2− |1/2− x|) for a > 2.

With the rise of technologies VR technology, AR and 3D printing, application models has become more extensive. The data model is floating point a unique storage format, traditional 2D image encryption algorithms are unsuitable for models. Therefore, based on 1D Sine-Map-Coupling-Logistic-Map (1D-SMCLM), algorithm designed in this paper. 1D-SMCLM new chaotic system with large parameter space goo...