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Titlebook: Dynamical System and Chaos; An Introduction with Rui Dil?o Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l

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發(fā)表于 2025-3-25 03:59:20 | 只看該作者
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發(fā)表于 2025-3-26 07:46:08 | 只看該作者
Qualitative Theory of?Dynamical Systemsial conditions and the associated Lyapunov exponents as a measure of chaoticity. We introduce bifurcation theory from an informal point of view. This analysis is restricted to codimension 1 local bifurcations of ordinary differential and difference equations (saddle-node, Hopf, pitchfork and transcr
28#
發(fā)表于 2025-3-26 10:58:35 | 只看該作者
Special Topics in?Dynamical Systemsomplex plane, and stochastic iteration of function systems. We introduce the concepts of .- and .-limit sets, non-wandering or recurrent points, Axiom A and Anosov dynamical systems, and the Poincaré recurrence theorem. We build the class of Bernouilli dynamical systems. They have probabilistic prop
29#
發(fā)表于 2025-3-26 16:02:00 | 只看該作者
Examples of?Nonlinear Systemsved. We explore the dynamics of the Glass-Mackey model for the production of red blood cells. We survey exact results on the St?rmer problem describing the dynamics of charged particles in the Earth’s magnetosphere originating the Van Allen inner radiation belt, radiation aurorae and the South Atlan
30#
發(fā)表于 2025-3-26 20:18:01 | 只看該作者
Differential and Difference Equations as?Dynamical Systemsrential and difference equations in the neighbourhood of a fixed point. We describe the important technique of Poincaré maps. We introduce basic concepts of numerical analysis and the most important numerical methods to calculate the solutions of differential equations.
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