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Titlebook: Chaos in Discrete Dynamical Systems; A Visual Introductio Ralph H. Abraham,Laura Gardini,Christian Mira Book 1997 Springer Science+Business

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樓主: Entangle
11#
發(fā)表于 2025-3-23 12:02:50 | 只看該作者
https://doi.org/10.1007/978-3-662-47224-8rcations, which we have encountered already in Chapter 5, with a sequence of hand drawings. Then we will go on to an exemplary bifurcation sequence with computer graphics, in which the fractal implications of these contact events for the boundaries become clear.
12#
發(fā)表于 2025-3-23 14:59:43 | 只看該作者
https://doi.org/10.1007/978-3-662-47224-8tractors, basins, critical sets, bifurcations, and so on — may be understood in the 1D context, as we have indicated here and there; but perhaps they are clearer in 2D. Also, the 2D versions may admit a more straightforward generalization to 3D and higher dimensions.
13#
發(fā)表于 2025-3-23 20:59:02 | 只看該作者
14#
發(fā)表于 2025-3-23 23:23:49 | 只看該作者
15#
發(fā)表于 2025-3-24 06:06:55 | 只看該作者
978-1-4612-7347-9Springer Science+Business Media New York 1997
16#
發(fā)表于 2025-3-24 08:45:28 | 只看該作者
M. P. Dobhal,V. Gupta,M. D. Lechner,R. GuptaIn the preceding chapter we introduced a brief list of basic concepts of discrete dynamics. Here, we expand on these concepts in the one-dimensional context, in which, uniquely, we have the advantage of a simple graphical representation. The official, abstract definitions of all these concepts may be found in the Appendices.
17#
發(fā)表于 2025-3-24 11:22:51 | 只看該作者
M. P. Dobhal,V. Gupta,M. D. Lechner,R. GuptaWe begin with a brief introduction to the concept of absorption in one and two dimensions, and then study an exemplary bifurcation sequence.
18#
發(fā)表于 2025-3-24 15:59:33 | 只看該作者
https://doi.org/10.1007/978-3-662-47224-8Chaotic contact bifurcations involve a chaotic attractor. This is the pinnacle of our subject. Here we proceed with a 1D introduction, and a 2D introduction, before analyzing the exemplary bifurcation sequence.
19#
發(fā)表于 2025-3-24 22:29:29 | 只看該作者
20#
發(fā)表于 2025-3-25 00:06:56 | 只看該作者
Absorbing AreasWe begin with a brief introduction to the concept of absorption in one and two dimensions, and then study an exemplary bifurcation sequence.
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