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Titlebook: Chaos; A Program Collection Hans Jürgen Korsch,Hans-J?rg Jodl,Timo Hartmann Textbook 2008Latest edition Springer-Verlag Berlin Heidelberg 2

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21#
發(fā)表于 2025-3-25 05:22:05 | 只看該作者
22#
發(fā)表于 2025-3-25 08:28:31 | 只看該作者
https://doi.org/10.1007/978-3-662-53871-5bserved 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.
23#
發(fā)表于 2025-3-25 14:24:26 | 只看該作者
24#
發(fā)表于 2025-3-25 16:17:42 | 只看該作者
25#
發(fā)表于 2025-3-25 20:15:03 | 只看該作者
Fermi Acceleration, 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.
26#
發(fā)表于 2025-3-26 03:23:14 | 只看該作者
27#
發(fā)表于 2025-3-26 04:36:00 | 只看該作者
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.
28#
發(fā)表于 2025-3-26 11:27:39 | 只看該作者
Nonlinear Electronic Circuits, nature, also similar to a computing device and, therefore, electronic circuits are also used as analog computers to model more elaborate experimental set-ups in different areas of physics. The circuit studied in this computer program has been used by Mitschke and Flüggen to model chaotic behavior in hybrid optical systems [1].
29#
發(fā)表于 2025-3-26 12:49:00 | 只看該作者
Mandelbrot and Julia Sets,the maps can be written as . where . = (.., . . . , ..) is the state vector of the system — for example, a vector in .-dimensional phase space — and . = (.., . . . , ..) denotes a number of . parameters.
30#
發(fā)表于 2025-3-26 19:09:39 | 只看該作者
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