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Titlebook: Dynamics Reported; Urs Kirchgraber,Hans-Otto Walther Textbook 1988 Springer Fachmedien Wiesbaden 1988 Algorithmen.Dynamik.Systemtheorie.dy

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发表于 2025-3-23 10:48:20 | 显示全部楼层
Dynamics Reported978-3-322-96656-8Series ISSN 0936-6040 Series E-ISSN 2942-8548
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0936-6040 Overview: 978-3-519-02150-6978-3-322-96656-8Series ISSN 0936-6040 Series E-ISSN 2942-8548
发表于 2025-3-23 18:24:23 | 显示全部楼层
Wolfgang Grundmann,Klaus Schütteldent solutions. We say that . connects to ., if there exists an orbit .(., .) of (1.1), (1.2) such that . i.e. .(., ·) is a heteroclinic orbit connecting . to .. In this report we address the following question:.(*) Given ., which stationary solutions . does it connect to?
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The title refers to a theory which is based on independent research in three different fields—differential geometry, dynamical systems and solid state physics—and which has attracted growing interest and research activity in the last few years. The objects of this theory are respectively:
发表于 2025-3-24 02:35:18 | 显示全部楼层
Mather Sets for Twist Maps and Geodesics on Tori,The title refers to a theory which is based on independent research in three different fields—differential geometry, dynamical systems and solid state physics—and which has attracted growing interest and research activity in the last few years. The objects of this theory are respectively:
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Qualitative Theory of Nonlinear Resonance by Averaging and Dynamical Systems Methods,
发表于 2025-3-24 10:58:26 | 显示全部楼层
Exponential Dichotomies, the Shadowing Lemma and Transversal Homoclinic Points,iate consequence of this is Birkhoff’s result that the diffeomorphism has infinitely many periodic points. It also turns out that nearby diffeomorphisms must also have transversal homoclinic points and hence also infinitely many periodic points. Thus the property of having infinitely many periodic points cannot, in general, be perturbed away.
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Markt und Preis, Marktformen und Kostensingular perturbations is devoted to boundary value problems. In this paper, however, we will restrict ourselves to initial value problems (IVP’s) although we believe that the ideas derived may be useful for boundary value problems as well.
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An Algorithmic Approach for Solving Singularly Perturbed Initial Value Problems,singular perturbations is devoted to boundary value problems. In this paper, however, we will restrict ourselves to initial value problems (IVP’s) although we believe that the ideas derived may be useful for boundary value problems as well.
发表于 2025-3-25 00:35:12 | 显示全部楼层
Wolfgang Grundmann,Klaus Schütteliate consequence of this is Birkhoff’s result that the diffeomorphism has infinitely many periodic points. It also turns out that nearby diffeomorphisms must also have transversal homoclinic points and hence also infinitely many periodic points. Thus the property of having infinitely many periodic points cannot, in general, be perturbed away.
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