Chaos based communications have drawn increasing attention over the past years. Chaotic signals are derived from non-linear dynamic systems. They are aperiodic, broadband and deterministic signals that appear random in the time domain. Because of these properties, chaotic signals have been proposed to generate spreading sequences for wide-band secure communication recently. Like conventional DS...

a r t i c l e i n f o Current mathematical models in building research have been limited in most studies to linear dynamics systems. A literature review of past studies investigating chaos theory approaches in building simulation models suggests that as a basis chaos model is valid and can handle the increasing complexity of building systems that have dynamic interactions among all the distribu...

There exist several trials to describe chaos appeared in classical or quantum dynamical systems [?]. One of the present authors introduced Information Dynamics(ID for short) [18] as a frame to discuss complexity and chaos appeared in various fields, in which he tried to find a common basis by synthesizing the state change (dynamics) and the complexity associated with dynamical systems. Since th...

It is well known that most conventional control methods and many special techniques can be used for chaos control [Chen & Dong, 1998] whether the purpose is to reduce “bad” chaos or to introduce “good” chaos. Numerous control methodologies have been proposed, developed, tested and applied. Due to its great potential in nontraditional applications such as those found within the context of physic...

Interrelations between dynamical and statistical laws in physics, on the one hand, and between the classical and quantum mechanics, on the other hand, are discussed with emphasis on the new phenomenon of dynamical chaos. The principal results of the studies into chaos in classical mechanics are presented in some detail, including the strong local instability and robustness of the motion, contin...

By numerically simulating the Bray-Liebhafsky (BL) reaction (the hydrogen peroxide decomposition in the presence of hydrogen and iodate ions) in a continuously fed well stirred tank reactor (CSTR), we find "structured" types of chaos emerging in regular order with respect to flow rate as the control parameter. These chaotic "structures" appear between each two successive periodic states, and ha...

The effect of the shape of six different periodic forces and second periodic forces on the onset of horseshoe chaos are studied both analytically and numerically in a Duffing oscillator. The external periodic forces considered are sine wave, square wave, symmetric saw-tooth wave, asymmetric saw-tooth wave, rectified sine wave, and modulus of sine wave. An analytical threshold condition for the ...

Introduction: Based on Voyager imaging of Jupiter’s moon Europa, Lucchita and Soderblom [1] classified the surface of this icy satellite into two major terrain types: plains and mottled terrain. Mottled terrain was defined as consisting of isolated small spots, hummocky topography, and sometimes broken-up lineae. One of the primary goals of the Galileo mission was to determine the origin and pa...

The concept of molecular chaos dates back to Boltzmann [3], who derived the fundamental equation of the kinetic theory of gases under the hypothesis that the molecules of a nonequilibrium gas are in a state of “molecular disorder.” The concept of propagation of molecular chaos is due to Kac [8, 9], who called it “propagation of the Boltzmann property” and used it to derive the homogeneous Boltz...

BACKGROUND The benefits of medication adherence to control cardiovascular disease (CVD) are well defined, yet multiple studies have identified poor adherence. The influence of life chaos on medication adherence is unknown. Because this is a novel application of an instrument, our preliminary objective was to understand patient factors associated with chaos. The main objective was to evaluate th...