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 ...

Cancer is often characterized as a chaotic, poorly regulated growth. Cancer can be viewed as a complex adaptive system. Complex adaptive systems can be described mathematically by nonlinear (chaos) theory including asymmetry, fractal structure and autocorrelation factor (Cramer, 1993). Atypical shape of tumor cells and chaotic structures of blood flow is one from characteristic of cancer proces...

In this paper, based on integer-order Hindmarsh–Rose (HR) neurons under an electric field, the fractional-order model is constructed, and nonlinear term decomposed by Adomian decomposition method, numerical solution of system obtained. The firing behavior neuron analyzed using a phase diagram, interspike interval (ISI) bifurcation sample entropy (SE) complexity, largest Lyapunov exponent (LLE)....

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...