A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : [electronic resource] heuristics and rigorous verification on a model / Amadeu Delshams, Rafael de la Llave, Tere M. Seara.

By: Delshams, AmadeuContributor(s): De la Llave, Rafael, 1957- | Seara, Tere M, 1961-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 844Publication details: Providence, R.I. : American Mathematical Society, 2006Description: 1 online resource (vii, 141 p. : ill.)ISBN: 9781470404451 (online)Subject(s): Nonholonomic dynamical systems | Mechanics | Differential equations -- Qualitative theoryAdditional physical formats: geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem :DDC classification: 510 s | 515/.39 LOC classification: QA3 | .A57 no. 844 | QA614.833Online resources: Contents | Contents
Contents:
1. Introduction 2. Heuristic discussion of the mechanism 3. A simple model 4. Statement of rigorous results 5. Notation and definitions, resonances 6. Geometric features of the unperturbed problem 7. Persistence of the normally hyperbolic invariant manifold and its stable and unstable manifolds 8. The dynamics in $\tilde {\Lambda }_\epsilon $ 9. The scattering map 10. Existence of transition chains 11. Orbits shadowing the transition chains and proof of Theorem 4.1 12. Conclusions and remarks 13. An example
Item type: E-BOOKS
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Link to resource Available EBK13297

"Volume 179, number 844 (third of 5 numbers)."

Includes bibliographical references (p. 137-141).

1. Introduction 2. Heuristic discussion of the mechanism 3. A simple model 4. Statement of rigorous results 5. Notation and definitions, resonances 6. Geometric features of the unperturbed problem 7. Persistence of the normally hyperbolic invariant manifold and its stable and unstable manifolds 8. The dynamics in $\tilde {\Lambda }_\epsilon $ 9. The scattering map 10. Existence of transition chains 11. Orbits shadowing the transition chains and proof of Theorem 4.1 12. Conclusions and remarks 13. An example

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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