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 ...

In this review article we discuss e ects of phase synchronization of nonlinear self-sustained oscillators. Starting with a classical theory of phase locking, we extend the notion of phase to autonoumous continuous-time chaotic systems. Using as examples the well-known Lorenz and Rossler oscillators, we describe the phase synchronization of chaotic oscillators by periodic external force. Both s...

Cellular automaton [Wolfram , 1984] is a modeling and simulation too l in computer science, mathemat­ ics, physics, chemistry, biology, etc. It consists of a grid of cells, wher e each cell has a finite number of states. Every cell has the same rul e for updating, based on the st at es of neighboring cells. Cellular automata can exhibit ma ny emergent phenomena; such as fract als, chaos, random...

We study the energy fluctuations of a spatially homogeneous SU(2) Yang– Mills–Higgs system. In particular, we analyze the nearest–neighbour spacing distribution which shows a Wigner–Poisson transition by increasing the value of the Higgs field in the vacuum. This transition is a clear quantum signature of the classical chaos–order transition of the system. To be published in Modern Physics Lett...

Abstract: Fix ν > 0, denote by G(ν/2) a Gamma random variable with parameter ν/2, and let n > 2 be a fixed even integer. Consider a sequence {Fk}k>1 of square integrable random variables, belonging to the nth Wiener chaos of a given Gaussian process and with variance converging to 2ν. As k → ∞, we prove that Fk converges in distribution to 2G(ν/2) − ν if and only if E(F 4 k )− 12E(F 3 k ) → 12ν...

It is well known that time delays exist widely in biology, neural network, automatic control engineering and so on. Since the existence of delays is frequently a source of instability, bifurcation and chaos, it is important to study the dynamical behaviors of the differential equations with delays. Recently, the periodic problem of Rayleigh equations with a deviating argument x′′ + f(x′(t)) + g...