Studies of nonlinear dynamical systems with many degrees of freedom show that the behavior of these systems is significantly different as compared with the behavior of systems with less than two degrees of freedom. These findings motivated us to carry out a survey of research focusing on the behavior of high-dimensional chaos, which include onset of chaos, routes to chaos, and the persistence o...

In this study, simultaneous asynchronous oscillatioiis of chaos observed in a simple autononioiis circuit are iiivestigated by both of circuit experiments and coniputer calculations. This circuit consists of two nonlinear subcircuits having different oscillation frequencies coupled by one linear negative resistor. I n the case that oscillation frequencies of two subcircuits are quite direrent, ...

In this study, a simple chaos communication system including modulation-demodulation circuits is studied. The influence of modulation-demodulation circuits to chaos synchronization is investigated. For the estimation of communication quality, bit error rate (BER) is calculated by computer simulation when a sequential random pulse information signal is transmitted via this proposed system. key w...

Three views on the cosmogony of Genesis 1:1-3 have found broad acceptance in the literature on this subject: (1) the restitution theory of cosmogony, which contends that the chaos of Genesis 1:2 occurred after God had created an originally perfect universe; (2) the initially chaotic theory of cosmogony, which insists that the chaos of 1:2 occurred in connection with the original creation; and (...

Sine-Gordon equation under a quasi-periodic perturbation or a chaotic perturbation is studied. Existence of a homoclinic tube is proved. Established are chaos associated with the homoclinic tube, and ‘‘chaos cascade’’ referring to the embeddings of smaller scale chaos in larger scale chaos. 2003 Elsevier Ltd. All rights reserved.

Spiral chaos appears in the two-dimensional Aliev-Panfilov model. The generation mechanism of the spiral chaos is related to the breathing instability of pulse trains. The spiral chaos can be eliminated by applying periodic force uniformly. The elimination of the spiral chaos is most effective when the frequency of the periodic force is close to that of the breathing motion.

Chaotic home lives are correlated with behavior problems in children. In the study reported here, we tested whether there was a cross-lagged relation between children’s experience of chaos and their disruptive behaviors (conduct problems and hyperactivity-inattention). Using genetically informative models, we then tested for the first time whether the influence of household chaos on disruptive ...

Numerical findings of natural convection flows in a trapezoidal cavity are reported this study. This study focuses on the shift from symmetric steady to chaotic flow within cavity. has heated bottom wall, cooled top and adiabatic inclined sidewalls. The unsteady occurring numerically simulated using finite volume (FV) method. fluid used is air, calculations performed for different dimensionless...

In time series analysis, it has been considered of key importance to determine whether a complex time series measured from the system is regular, deterministically chaotic, or random. Recently, Gottwald and Melbourne have proposed an interesting test for chaos in deterministic systems. Their analyses suggest that the test may be universally applicable to any deterministic dynamical system. In o...