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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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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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