Delshams, Amadeu.
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model / [electronic resource] Amadeu Delshams, Rafael de la Llave, Tere M. Seara. - Providence, R.I. : American Mathematical Society, 2006. - 1 online resource (vii, 141 p. : ill.) - Memoirs of the American Mathematical Society, v. 844 0065-9266 (print); 1947-6221 (online); .
"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 _\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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470404451 (online)
Nonholonomic dynamical systems.
Mechanics.
Differential equations--Qualitative theory.
QA3 QA614.833 / .A57 no. 844
510 s 515/.39
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model / [electronic resource] Amadeu Delshams, Rafael de la Llave, Tere M. Seara. - Providence, R.I. : American Mathematical Society, 2006. - 1 online resource (vii, 141 p. : ill.) - Memoirs of the American Mathematical Society, v. 844 0065-9266 (print); 1947-6221 (online); .
"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 _\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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470404451 (online)
Nonholonomic dynamical systems.
Mechanics.
Differential equations--Qualitative theory.
QA3 QA614.833 / .A57 no. 844
510 s 515/.39