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

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書(shū)目名稱(chēng)Quasi-Periodic Motions in Families of Dynamical Systems
副標(biāo)題Order amidst Chaos
編輯Hendrik W. Broer,George B. Huitema,Mikhail B. Sevr
視頻videohttp://file.papertrans.cn/782/781614/781614.mp4
叢書(shū)名稱(chēng)Lecture Notes in Mathematics
圖書(shū)封面Titlebook: Quasi-Periodic Motions in Families of Dynamical Systems; Order amidst Chaos Hendrik W. Broer,George B. Huitema,Mikhail B. Sevr Book 1996 Sp
描述This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems. Such a motion in the phase space densely fills up an invariant 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 one hand, Hamiltonian systems occur that are in complete order: these are the integrable systems where all motion is confined to invariant tori. On the other hand, systems exist that are entirely chaotic on each energy level. In between we know systems that, being sufficiently small perturbations of integrable ones, exhibit coexistence of order (invariant tori carrying quasi-periodic dynamics) and chaos (the so called stochastic layers). The Kolmogorov-Arnol‘d-Moser (KAM) theory on quasi-periodic motions tells us that the occurrence of such motions is open within the class of all Hamiltonian systems: in other words, it is a phenomenon persistent under small Hamiltonian perturbations. Moreover, generally, for any such system the union of quasi-periodic
出版日期Book 1996
關(guān)鍵詞Chaos; KAM-theory; analysis; dynamical systems; hamiltonian systems; reversible systems; stability; systems
版次1
doihttps://doi.org/10.1007/978-3-540-49613-7
isbn_softcover978-3-540-62025-9
isbn_ebook978-3-540-49613-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1996
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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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Lecture Notes in Mathematicshttp://image.papertrans.cn/q/image/781614.jpg
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iegata per la diagnosi di malattia.?Notevoli e rapidi avanzamenti tecnologici hanno portato alla? sempre maggiore diffusione delle procedure interventistiche?ecoguidate, modificando in modo significativo le strategie diagnostiche e terapeutiche di molte patologie. Il volume presenta una concisa pano
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la diagnosi di malattia.?Notevoli e rapidi avanzamenti tecnologici hanno portato alla? sempre maggiore diffusione delle procedure interventistiche?ecoguidate, modificando in modo significativo le strategie diagnostiche e terapeutiche di molte patologie. Il volume presenta una concisa panoramica del
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