Titlebook: Chaos; A Program Collection H. J. Korsch,H.-J. Jodl Book 19941st edition Springer-Verlag Berlin Heidelberg 1994 Chaostheorie.Fractals.Frakt

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Progress in Colloid and Polymer Scienceuse Cartesian coordinates . in coordinate space (see Fig. 4.1). In contrast to the billiard systems discussed in Chap. 3, the velocity of the particle changes here, and the trajectory between the reflections is curved (a parabola). An example of such a trajectory is shown in Fig. 4.1.

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ollection for the PC presents an outstanding selection of executable programs with introductory texts on chaos theory and its simulation. Students in physics, mathematics, and engineering will find a thorough intoduction to fundamentals and applications in this field. Many numerical experiments and

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G. Kaempf,W. Siebourg,H. Loewer,N. Lazears through fluctuating magnetic fields. Similar mechanisms have been studied for accelerating cosmic rockets by planetary or stellar gravitational fields. One of the most interesting aspects of such models is the determination of criteria for stochastic (statistical) behavior, despite the strictly deterministic dynamics.

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Optical Applications of Liquid Crystals of physical processes such as stiffening springs, beam buckling, nonlinear electronic circuits, superconducting Josephson parametric amplifiers, and ionization waves in plasmas. Despite the simplicity of the Duffing oscillator, the dynamical behavior is extremely rich and research is still going on today.

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Feigenbaum Scenario,bserved at well-defined time steps ... In some situations, the discrete mapping arises directly from the nature of the system, as for instance in population dynamics or kicked or billiard-type systems. In other cases, one uses a discrete approximation to the true continuous evolution.