Abstract—This paper considers the prediction of chaotic be-havior using a master–slave synchronization scheme. Based on the stability theory for retarded systems using a Lyapunov–Krasovskii functional, we derive a sufficient condition for perfect state pre-diction of the master system via a time

The critical behavior of quarks undergoing phase transition to hadrons is considered in the framework of the Ising model. It is found that spatial fluctuations do not alter the F-scaling result obtained earlier in the Ginzberg-Landau formalism. For the study of chaos a new measure must be found

This paper demonstrates dynamical system models of genetic algorithms that exhibit cycling and chaotic behavior. The genetic algorithm is a binary-representation genetic algorithm with truncation selection and a density-dependent mutation. The density dependent mutation has a separate

allowed to organize the computational experiment in the first to demonstrate a possible very complex behavior including chaotic regimes. The results of modeling of dynamic immuno-logical processes with chaotic behavior are represented and considered.

was not aware of the circuits' chaotic behavior, but reported strange irregular start-ups of the oscillator. Chaotic behavior of the circuit will be demonstrated in this paper using computer simulation. During the period in which the irregularities appear, the amplification of the circuit is maximal. I

In this paper, a mathematical analysis in order to generate a chaotic behavior for piecewise smooth systems submitted to one of it’s specific bifurcations, namely the corner one, is proposed. This study is based on period doubling method.

We prove that certain parametrized families of one-dimensional maps with in nitely many critical points exhibit global chaotic behavior in a persistent way: for a positive Lebesgue measure set of parameter values the map is transitive and almost every orbit has positive Lyapunov exponent.

Abstract—A delay nonlinear differential equation is proposed to investigate the condition of the microwave chaotic behavior existing between the antenna and the front-end protection circuit of a receiver such as the radar front-end limiter circuit. This investigation concerns the case

Abstract—Chaotic behavior in power systems has been studied in relatively simple and theoretical system models, where some particular assumptions are made to represent the system as a set of ordinary differential equations (ODE), using “special” nonlinear system analysis tools. In this paper

. Hierarchies of periodic behavior, like phase-locking and period-doubling sequences leading to chaos, were