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Titlebook: Analysis and Simulation of Chaotic Systems; Frank C. Hoppensteadt Textbook 2000Latest edition Springer Science+Business Media New York 200

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樓主
發(fā)表于 2025-3-21 18:55:25 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Analysis and Simulation of Chaotic Systems
影響因子2023Frank C. Hoppensteadt
視頻videohttp://file.papertrans.cn/157/156258/156258.mp4
學(xué)科分類Applied Mathematical Sciences
圖書封面Titlebook: Analysis and Simulation of Chaotic Systems;  Frank C. Hoppensteadt Textbook 2000Latest edition Springer Science+Business Media New York 200
影響因子Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable mathematical models that are amenable to further mathematical analysis or to elucidating computer simulations. For the most part, derivations are based on perturbation methods. Because of this, the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. This explains why stability results developed for quite simple problems are often useful for more complicated, even chaotic, ones. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro- differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more mat
Pindex Textbook 2000Latest edition
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Iterations and Perturbations,stion is: Under what conditions will a periodic solution result? The answers for externally forced systems are quite different from those for feedback systems that are found in Sections 3.5, 7.4, 7.5, and 8.4.
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Quasistatic-State Approximations,nents can try to reach some equilibrium, while the other components change hardly at all. It is not surprising that such perturbation problems can be studied using stability methods, because both deal with how solutions approach equilibria. These problems differ from those in Chapter 7, where oscill
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,Simulation of Designs – Modelsim Tool,a: First, when ε = 0, the solution is ., and so on. This is a . [0, T], and the error estimate .(ε. holds as ε → 0 uniformly for 0 ≤ . ≤ .. However, since the solution .(.) approaches . as . → ∞, we cannot expect Taylor’s formula to be valid uniformly for 0 ≤ . < ∞.
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,Synthesis of Designs – Synplify Tool,studied using stability methods, because both deal with how solutions approach equilibria. These problems differ from those in Chapter 7, where oscillations occurred on a fast time scale relative to other changes. In this chapter we study problems that try to equilibrate on a fast time scale while other components in the system change more slowly
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