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Record Nr. |
UNINA9910796031603321 |
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Autore |
González-Enríquez A (Alejandra), <1967-> |
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Titolo |
Singularity theory for non-twist KAM tori / / A. González-Enríquez, A. Haro, R. de la Llave |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (128 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 227, Number 1067 |
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Disciplina |
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Soggetti |
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Bifurcation theory |
Perturbation (Mathematics) |
Ergodic theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 227, Number 1067 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Part 1 . Introduction and preliminaries""; ""Chapter 1. Introduction""; ""1.1. Towards a singularity theory for KAM tori""; ""1.2. Methodology (a brief description)""; ""1.3. Outline of this monograph""; ""Chapter 2. Preliminaries""; ""2.1. Elementary notations""; ""2.2. Geometric preliminaries""; ""2.3. Symplectic deformations and moment maps""; ""2.4. Analytic preliminaries""; ""2.5. Cohomology equations""; ""Part 2 . Geometrical properties of KAM invariant tori""; ""Chapter 3. Geometric properties of an invariant torus""; ""3.1. Automatic reducibility"" |
""3.2. Geometric definition of non-twist tori""""3.3. Intrinsic character of the reducibility and of the torsion""; ""Chapter 4. Geometric properties of fibered Lagrangian deformations""; ""4.1. The potential of a fibered Lagrangian deformation""; ""4.2. A parametric version of the potential""; ""Part 3 . KAM results""; ""Chapter 5. Nondegeneracy on a KAM procedure with fixed frequency""; ""5.1. Approximate reducibility of approximately invariant tori""; ""5.2. Dummy and modifying parameters""; ""Chapter 6. A KAM theorem for symplectic deformations"" |
""6.1. Functional equations and nondegeneracy condition""""6.2. Statement of the KAM theorem""; ""6.3. Proof of the KAM Theorem""; |
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