Abstract The synchronization time in the coupled discontinuous maps is investigated. results show that of systems exhibits a non-monotonic behaviour as coupling strength increases. Moreover, coexistence attractor, which consists period state and one, found, it riddle basin character. initial conditions systems, close to boundary can lead long quasiperiodic transient, trajectory jumps from one r...

This paper studies a system of coupled discrete fractional-order logistic maps, modeled by Caputo’s delta fractional difference, regarding its numerical integration and chaotic dynamics. Some interesting new dynamical properties unusual phenomena from this chaotic-map are revealed. Moreover, the coexistence attractors, necessary ingredient existence hidden is proved analyzed.

Using a renormalization method, we study the critical behavior for intermittency in two coupled one-dimensional (1D) maps. We find two fixed maps of the renormalization transformation. They all have common relevant eigenvalues associated with scaling of the control parameter of the uncoupled 1D map. However, the relevant “coupling eigenvalues” associated with coupling perturbations vary dependi...

in this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional volterra-fredholm integro-differential equations. here, we use the so-called two-dimensional block-pulse functions.first, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. then, by using this matrices, the nonlinear two-dimensional vol...

The dynamics of a globally coupled, logistic map lattice is explored over a parameter plane consisting of the coupling strength, varepsilon, and the map parameter, a. By considering simple periodic orbits of relatively small lattices, and then an extensive set of initial-value calculations, the phenomenology of solutions over the parameter plane is broadly classified. The lattice possesses many...

Abstract The Y-chromosome degeneration is still an intriguing mechanism and comprises the very origin of sex. We present a coupled version of the well known logistic map and the logistic equation describing the evolution of XY chromosomes. Although chaos was found in X, Y chromosomes do not evolve chaotically. A mathematical constraint is shown as the responsible for this behaviour. In addition...

This project deals with the estimation of Logistic Regression parameters. We first review the binary logistic regression model and the multinomial extension, including standard MAP parameter estimation with a Gaussian prior. We then turn to the case of Bayesian Logistic Regression under this same prior. We review the cannonical approach of performing Bayesian Probit Regression through auxiliary...

Number of cryptosystems based on chaos has been proposed, in recent years. Tao Xiang , Kwok-wo Wong, Xiaofeng Liao in 2008 proposed an improved scheme by using a symmetric key block cipher algorithm in which one-dimensional chaotic maps are used, in order to obtain chaotic sequences with better cryptographic feature. In this system, an encryption /decryption scheme was proposed, a cryptographic...