One signature of quantum chaos is the failure of standard semiclassical (EBK) quantization due to the occurrence of chaotic ray paths in the WKB approximation. Another is the appearance of level repulsion in the statistics of the separation between nearest-neighbour eigenvalues, the primary diagnostic [2] being the probability distribution function (PDF), P(s), of the energy level separations, ...

Compactification can control chaotic Mixmaster behavior in gravitational systems with p–form matter: we consider this in light of the connection between supergravity models and Kac–Moody algebras. We show that different compactifications define “mutations” of the algebras associated with the noncompact theories. We list the algebras obtained in this way, and find novel examples of wall systems ...

of Rössler Systems Xiaoxin Liao Department of Control Science and Engineering Huazhong University of Technology Wuhan, Hubei, 430074 P. R. China xiaoxin [email protected] Pei Yu Department Of Applied Mathematics University of Western Ontario London, Ontario, N6A 5B7 Canada [email protected] Abstract— This paper considers the global chaos control and synchronization of several classical Rös...

This paper studies the performance of selected chaos-based communication systems whose spectrum overlaps with that of conventional narrowband systems. Such a scenario may occur in normal practice when chaos-based systems are introduced while the conventional systems are still in operation. The particular chaos-based systems under study are the coherent chaos-shift-keying (CSK) system and the no...

sciences exist to demonstrate the fundamental order underlying nature. chaos/complexity theory is a novel and amazing field of scientific inquiry. notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (retrieved from http://www.inc...

The authors thermostat a qp harmonic oscillator using the two additional control variables zeta and xi to simulate Gibbs' canonical distribution. In contrast to the motion of purely Hamiltonian systems, the thermostated oscillator motion is completely ergodic, covering the full four-dimensional [q,p,zeta,xi] phase space. The local Lyapunov spectrum (instantaneous growth rates of a comoving coro...

The Need to Utilize Chaos Management Techniques in Elementary School Preparedness Assessment Program   M. H. Hassani Shalmaani, Ph.D.*   One of the most important programs in the Ministry of Education is the health and academic preparedness assessment program. It is assumed that any assessment program is so dynamic and unpredictable that makes systematic planning impossible. Thi...

The triangle algorithm introduced in [6], tests if a given p ∈ R lies in the convex hull of a set S of n points in R. It computes p′ ∈ conv(S) such that either d(p′, p) is within prescribed tolerance, or p′ certifies p ̸∈ conv(S). In order to improve its performance, we propose two randomized versions. Bounds on their expected complexity is identical with deterministic bounds. One is inspired by...

It is shown that when certain conditions are met, the random dynamics of radiation in a ring cavity containing a nonlinear element can be described by means of a 2-D representation with a rapidly oscillating exponential. Such a representation generates strong mixing in the attracting region of the phase space and is equivalent to a certain random representation when the exciting signal contains...