The guts of this package consist of the software contained in the diskette that accompanies the text. However, the text is necessary until one becomes familiar with the operations. A subtitle expands as follows: With a Supplementary Diskette Containing PHASER: An Animator/ Simulator for Dynamical Systems for IBM Personal Computers. This tells the potential reader and user basically what to expe...

The Hyperbolic Heat Transfer Equation describes heat processes in which extremely short periods of time or extreme temperature gradients are involved. It is already known that there are solutions of this equation which exhibit a chaotic behaviour, in the sense of Devaney, on certain spaces of analytic functions with certain growth control. We show that this chaotic behaviour still appears when ...

the efficiency and robustness of reliability methods are two important factors in first order reliability method (form). the conjugate choice control (ccc) and directional chaos control method (dcc) were developed to improve the robustness and efficiency of form formula using the stability transformation method. in this paper, the ccc and dcc methods are applied for reliability analysis of a co...

    Nature is characterized by its chaotic behavior. Mathematics is considered one of the appropriate tools to achieve the best definition of possible its chaos variables and process. Classical mathematics deals with the numbers as static and meaningless, but chaos mathematics deals with it as dynamic evolutionary, and value- added. This paper attempts to introduce the transportation problem re...

Chaotic dynamics can be effectively studied by continuation from an anti-integrable limit. Using the Hénon map as an example, we obtain a simple analytical bound on the domain of existence of the horseshoe that is equivalent to the well-known bound of Devaney and Nitecki. We also reformulate the popular method for finding periodic orbits introduced by Biham and Wenzel. Near an anti-integrable l...

Road traffic volumes in intercity roads are generally estimated by probability functions, statistical techniques or meta-heuristic approaches such as artificial neural networks. As the road traffic volumes depend on input variables and mainly road geometrical design, weather conditions, day or night time, weekend or national holidays and so on, these are also estimated by pattern recognition te...

In order to achieve chaotic signal processing, a dedicated chaos processor is required. The chaos processor is composed of two parts: chaos signal generation and chaos signal retrieval (Fig. 1). Chaos signal generation is used to generate chaos signal, while chaos signal retrieval is used to retrieve initial state of received chaos signal. Since chaos signal is analog in nature, with convention...

Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...

The time-reversal imaging with multiple signal classification method for the location of point targets developed within the framework of the Born approximation in Lehman and Devaney @‘‘Transmission mode time-reversal super-resolution imaging,’’ J. Acoust. Soc. Am. 113, 2742–2753 ~2003!# is generalized to incorporate multiple scattering between the targets. It is shown how the same method can be...