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標題: Titlebook: Quasi-Periodic Motions in Families of Dynamical Systems; Order amidst Chaos Hendrik W. Broer,George B. Huitema,Mikhail B. Sevr Book 1996 Sp [打印本頁]

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Quasi-Periodic Motions in Families of Dynamical Systems978-3-540-49613-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Appendices,ordinates (. = 0). We briefly discussed a further simplified situation in § 1.2.1 which concerned 2-tori and was based on circle maps. However, our proof is characteristic for all the other contexts mentioned throughout. For a similar proof in the Hamiltonian setting [the Hamiltonian isotropic (.,0,0) context], see P?schel [278].
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ies from around the world with synthetic analysis of the resThis book is about doing innovative research to achieve sustainable and equitable change in people’s health and well-being through improved interactions with the environment. It presents experiences from the field of ecosystem approaches to
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ies from around the world with synthetic analysis of the resThis book is about doing innovative research to achieve sustainable and equitable change in people’s health and well-being through improved interactions with the environment. It presents experiences from the field of ecosystem approaches to
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Quasi-Periodic Motions in Families of Dynamical SystemsOrder amidst Chaos
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sulting body of applied, participatory, and action research that improved health and environmental management in developing countries and, in many cases, influenced policies and practices.978-1-4614-0671-6978-1-4614-0517-7
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sulting body of applied, participatory, and action research that improved health and environmental management in developing countries and, in many cases, influenced policies and practices.978-1-4614-0671-6978-1-4614-0517-7
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sulting body of applied, participatory, and action research that improved health and environmental management in developing countries and, in many cases, influenced policies and practices.978-1-4614-0671-6978-1-4614-0517-7
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0075-8434 tems: in other words, it is a phenomenon persistent under small Hamiltonian perturbations. Moreover, generally, for any such system the union of quasi-periodic 978-3-540-62025-9978-3-540-49613-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Introduction and examples,mall perturbations of the system. Quasi-periodic motions densely fill up invariant tori, therefore this study can be regarded as a part of a more general theory of invariant manifolds. The existence, persistence and other properties of invariant manifolds play a fundamental r?le in the analysis of n
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Appendices,ordinates (. = 0). We briefly discussed a further simplified situation in § 1.2.1 which concerned 2-tori and was based on circle maps. However, our proof is characteristic for all the other contexts mentioned throughout. For a similar proof in the Hamiltonian setting [the Hamiltonian isotropic (.,0,
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0075-8434 nvariant torus. This phenomenon is most familiar from Hamiltonian dynamics. Hamiltonian systems are well known for their use in modelling the dynamics related to frictionless mechanics, including the planetary and lunar motions. In this context the general picture appears to be as follows. On the on
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Introduction and examples,onlinear dynamical systems [67,115,158,356]. In this book we confine ourselves with finite dimensional systems. For the theory of quasi-periodic motions in infinite dimensional dynamical systems, the reader is recommended to consult, e.g., [185,186,279–281] and references therein.
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The continuation theory,r manifold persists under perturbations [67,115,158,356] but becomes, generally speaking, only finitely differentiable [12,347]. However, we can apply the . of the “relaxed” Theorems 2.8, 2.9, 2.11, 2.12 to the restrictions of . and . to the center manifold, see [151, 243,277,278,306] as well as [62,162].
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