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[null,"1.","Record Nr.",null,"UNINA9910480523103321"]
[null,null,"Autore",null,"Lochak P (Pierre)"]
[null,null,"Titolo",null,"On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems / / P. Lochak, J.-P. Marco, D. Sauzin"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2003"]
[null,null,"ISBN",null,"1-4704-0373-0"]
[null,null,"Descrizione fisica",null,"1 online resource (162 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 775"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"514/.74"]
[null,null,"Soggetti",null,"Hamiltonian systems"]
[{"$nulls":4},"Invariant manifolds"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 163, number 775 (second of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 0. Introduction and Some Salient Features of the Model Hamiltonian\"\"; \"\"Chapter 1. Symplectic Geometry and the Splitting of Invariant Manifolds\"\"; \"\"Â 1.1. Symplectic geometry: a short reminder\"\"; \"\"Â 1.2. Hyperbolic invariant manifolds\"\"; \"\"Â 1.3. Angles of Lagrangian planes: the symplectic viewpoint\"\"; \"\"Â 1.4. Angles of Lagrangian planes: the Euclidean viewpoint\"\"; \"\"Â 1.5. Symplectic isomorphisms, angles and splitting forms\"\"; \"\"Â 1.6. The splitting of Lagrangian submanifolds\"\"; \"\"Â 1.7. Lagrangian submanifolds in a cotangent bundle\"\""]
[{"$nulls":4},"\"\"Â 1.8. Hyperbolic tori and normally hyperbolic invariant manifolds\"\"\"\"Â 1.9. The perturbative setting\"\"; \"\"Â 1.10. Lagrangian intersections and homoclinic trajectories\"\"; \"\"Â 1.11. The splitting of the invariant manifolds of hyperbolic tori\"\"; \"\"Chapter 2. Estimating the Splitting Matrix Using Normal Forms\"\"; \"\"Â 2.1. Resonant normal forms\"\"; \"\"Â 2.2. Computations in the vicinity of a resonant surface\"\"; \"\"Â 2.3. Splitting in a perturbative setting, variance and stability\"\"; \"\"Â 2.4. General exponential estimates for the splitting matrix\"\""]
[{"$nulls":4},"\"\"Â 2.5. Persistence of tori, invariant manifolds and homoclinic trajectories\"\"\"\"Â 2.6. Splitting and stability\"\"; \"\"Chapter 3. The Hamiltonâ€?Jacobi Method for a Simple Resonance\"\"; \"\"Â 3.1. Notation and assumptions\"\"; \"\"Â 3.2. Formal solutions and the Hamiltonâ€?Jacobi algorithm\"\"; \"\"Â 3.3. Convergence and domains of analyticity\"\"; \"\"Â 3.4. Exponential closeness of the invariant manifolds\"\"; \"\"Â 3.5. Linear "]
[{"$nulls":4},"versus nonlinear splitting\"\"; \"\"Â 3.6. Some variants and possible generalizations\"\"; \"\"Â 3.7. A short historical tour and some concluding remarks\"\""]
[{"$nulls":4},"\"\"Appendix. Invariant Tori With Vanishing or Zero Torsion\"\"\"\"Bibliography \"\""]