Experiments on the Belousov-Zhabotinsky reaction in a well-stirred flow reactor elucidate one of the routes to chaos, subharmonic intermittency (type III interminency). Measurements conducted as a function of two independent control parameters demonstrate how difficult it is in practice to distinguish this route to chaos from subcritical period doubling transitions with similar chaotic time sig...

In this paper we present a Multi-Element generalized Polynomial Chaos (MEgPC) method to deal with stochastic inputs with arbitrary probability measures. Based on the decomposition of the random space of the stochastic inputs, we construct numerically a set of orthogonal polynomials with respect to a conditional probability density function (PDF) in each element and subsequently implement genera...

This contribution deals with the application of complexity measures as alternative cost functions for the control of a spatiotemporal deterministic chaos represented by coupled map lattices. Mean mutual information and mean information gain is applied, along with a common 1-norm based cost function. Optimization is done through the self-organizing migrating algorithm. Aim of this study is to se...

today we are facing with a turbulent world full of complexity and change. contemporary problems are too complicated for rational, logical solutions. they admit insights, not answers. chaos theory is a solution to reveal insights into the structure and the dynamics of complex systems. chaos theory is in formative stage, but we can use it in management practices. this article is about application...

Abstract Chaotic systems are characterized by unidirectional, diffusive and initial value sensitivity of hash. Academia can use it to optimize algorithms for mathematical computer encryption keys. This paper focuses on a hash function mixed chaotic system with key. Then the state mapping relationship modified, conclusions obtained. optimal design messy technology key is introduced briefly. A dy...