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A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model / / Amadeu Delshams, Rafael de la Llave, Tere M. Seara
| A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model / / Amadeu Delshams, Rafael de la Llave, Tere M. Seara |
| Autore | Delshams Amadeu |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2006 |
| Descrizione fisica | 1 online resource (158 p.) |
| Disciplina |
510 s
515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Nonholonomic dynamical systems
Mechanics Differential equations - Qualitative theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0445-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Heuristic discussion of the mechanism""; ""2.1. Integrable systems, resonances, secondary tori""; ""2.2. Heuristic description of the mechanism""; ""Chapter 3. A simple model""; ""Chapter 4. Statement of rigorous results""; ""Chapter 5. Notation and definitions, resonances""; ""Chapter 6. Geometric features of the unperturbed problem""; ""Chapter 7. Persistence of the normally hyperbolic invariant manifold and its stable and unstable manifolds""; ""7.1. Explicit calculations of the perturbed invariant manifold""
""8.5.2. Preliminary analysis of resonances of order one or two""""8.5.3. Primary and secondary tori near the first and second order resonances""; ""8.5.4. Proof of Theorem 8.30 and Corollary 8.31""; ""8.5.5. Existence of stable and unstable manifolds of periodic orbits""; ""Chapter 9. The scattering map""; ""9.1. Some generalities about the scattering map""; ""9.2. The scattering map in our model: definition and computation""; ""Chapter 10. Existence of transition chains""; ""10.1. Transition chains""; ""10.2. The scattering map and the transversality of heteroclinic intersections"" ""10.2.1. The non-resonant region and resonances of order 3 and higher""""10.2.2. Resonances of first order""; ""10.2.3. Resonances of order 2""; ""10.3. Existence of transition chains to objects of different topological types""; ""Chapter 11. Orbits shadowing the transition chains and proof of theorem 4.1""; ""Chapter 12. Conclusions and remarks""; ""12.1. The role of secondary tori and the speed of diffusion""; ""12.2. Comparison with [DLS00]""; ""12.3. Heuristics on the genericity properties of the hypothesis and the phenomena""; ""12.4. The hypothesis of polynomial perturbations"" ""12.5. Involving other objects""""12.6. Variational methods""; ""12.7. Diffusion times""; ""Chapter 13. An example""; ""Acknowledgments""; ""Bibliography"" |
| Record Nr. | UNINA-9910480091103321 |
Delshams Amadeu
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model / / Amadeu Delshams, Rafael de la Llave, Tere M. Seara
| A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model / / Amadeu Delshams, Rafael de la Llave, Tere M. Seara |
| Autore | Delshams Amadeu |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2006 |
| Descrizione fisica | 1 online resource (158 p.) |
| Disciplina |
510 s
515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Nonholonomic dynamical systems
Mechanics Differential equations - Qualitative theory |
| ISBN | 1-4704-0445-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Heuristic discussion of the mechanism""; ""2.1. Integrable systems, resonances, secondary tori""; ""2.2. Heuristic description of the mechanism""; ""Chapter 3. A simple model""; ""Chapter 4. Statement of rigorous results""; ""Chapter 5. Notation and definitions, resonances""; ""Chapter 6. Geometric features of the unperturbed problem""; ""Chapter 7. Persistence of the normally hyperbolic invariant manifold and its stable and unstable manifolds""; ""7.1. Explicit calculations of the perturbed invariant manifold""
""8.5.2. Preliminary analysis of resonances of order one or two""""8.5.3. Primary and secondary tori near the first and second order resonances""; ""8.5.4. Proof of Theorem 8.30 and Corollary 8.31""; ""8.5.5. Existence of stable and unstable manifolds of periodic orbits""; ""Chapter 9. The scattering map""; ""9.1. Some generalities about the scattering map""; ""9.2. The scattering map in our model: definition and computation""; ""Chapter 10. Existence of transition chains""; ""10.1. Transition chains""; ""10.2. The scattering map and the transversality of heteroclinic intersections"" ""10.2.1. The non-resonant region and resonances of order 3 and higher""""10.2.2. Resonances of first order""; ""10.2.3. Resonances of order 2""; ""10.3. Existence of transition chains to objects of different topological types""; ""Chapter 11. Orbits shadowing the transition chains and proof of theorem 4.1""; ""Chapter 12. Conclusions and remarks""; ""12.1. The role of secondary tori and the speed of diffusion""; ""12.2. Comparison with [DLS00]""; ""12.3. Heuristics on the genericity properties of the hypothesis and the phenomena""; ""12.4. The hypothesis of polynomial perturbations"" ""12.5. Involving other objects""""12.6. Variational methods""; ""12.7. Diffusion times""; ""Chapter 13. An example""; ""Acknowledgments""; ""Bibliography"" |
| Record Nr. | UNINA-9910788741103321 |
|
Delshams Amadeu
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model / / Amadeu Delshams, Rafael de la Llave, Tere M. Seara
| A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model / / Amadeu Delshams, Rafael de la Llave, Tere M. Seara |
| Autore | Delshams Amadeu |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2006 |
| Descrizione fisica | 1 online resource (158 p.) |
| Disciplina |
510 s
515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Nonholonomic dynamical systems
Mechanics Differential equations - Qualitative theory |
| ISBN | 1-4704-0445-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Heuristic discussion of the mechanism""; ""2.1. Integrable systems, resonances, secondary tori""; ""2.2. Heuristic description of the mechanism""; ""Chapter 3. A simple model""; ""Chapter 4. Statement of rigorous results""; ""Chapter 5. Notation and definitions, resonances""; ""Chapter 6. Geometric features of the unperturbed problem""; ""Chapter 7. Persistence of the normally hyperbolic invariant manifold and its stable and unstable manifolds""; ""7.1. Explicit calculations of the perturbed invariant manifold""
""8.5.2. Preliminary analysis of resonances of order one or two""""8.5.3. Primary and secondary tori near the first and second order resonances""; ""8.5.4. Proof of Theorem 8.30 and Corollary 8.31""; ""8.5.5. Existence of stable and unstable manifolds of periodic orbits""; ""Chapter 9. The scattering map""; ""9.1. Some generalities about the scattering map""; ""9.2. The scattering map in our model: definition and computation""; ""Chapter 10. Existence of transition chains""; ""10.1. Transition chains""; ""10.2. The scattering map and the transversality of heteroclinic intersections"" ""10.2.1. The non-resonant region and resonances of order 3 and higher""""10.2.2. Resonances of first order""; ""10.2.3. Resonances of order 2""; ""10.3. Existence of transition chains to objects of different topological types""; ""Chapter 11. Orbits shadowing the transition chains and proof of theorem 4.1""; ""Chapter 12. Conclusions and remarks""; ""12.1. The role of secondary tori and the speed of diffusion""; ""12.2. Comparison with [DLS00]""; ""12.3. Heuristics on the genericity properties of the hypothesis and the phenomena""; ""12.4. The hypothesis of polynomial perturbations"" ""12.5. Involving other objects""""12.6. Variational methods""; ""12.7. Diffusion times""; ""Chapter 13. An example""; ""Acknowledgments""; ""Bibliography"" |
| Record Nr. | UNINA-9910827755503321 |
|
Delshams Amadeu
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Large deviations and adiabatic transitions for dynamical systems and Markov processes in fully coupled averaging / / Yuri Kifer
| Large deviations and adiabatic transitions for dynamical systems and Markov processes in fully coupled averaging / / Yuri Kifer |
| Autore | Kifer Yuri <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina | 515/.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Averaging method (Differential equations)
Large deviations Differential equations - Qualitative theory Attractors (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0558-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""2.1. Introduction""""2.2. Preliminaries and main results""; ""2.3. Large deviations""; ""2.4. Verifying assumptions for random evolutions""; ""2.5. Further properties of S-functionals""; ""2.6. ""Very long"" time behavior: exits from a domain""; ""2.7. Adiabatic transitions between basins of attractors""; ""2.8. Averaging in difference equations""; ""2.9. Extensions: stochastic resonance""; ""2.10. Young measures approach to averaging""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910480238703321 |
|
Kifer Yuri <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Large deviations and adiabatic transitions for dynamical systems and Markov processes in fully coupled averaging / / Yuri Kifer
| Large deviations and adiabatic transitions for dynamical systems and Markov processes in fully coupled averaging / / Yuri Kifer |
| Autore | Kifer Yuri <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina | 515/.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Averaging method (Differential equations)
Large deviations Differential equations - Qualitative theory Attractors (Mathematics) |
| ISBN | 1-4704-0558-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""2.1. Introduction""""2.2. Preliminaries and main results""; ""2.3. Large deviations""; ""2.4. Verifying assumptions for random evolutions""; ""2.5. Further properties of S-functionals""; ""2.6. ""Very long"" time behavior: exits from a domain""; ""2.7. Adiabatic transitions between basins of attractors""; ""2.8. Averaging in difference equations""; ""2.9. Extensions: stochastic resonance""; ""2.10. Young measures approach to averaging""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910788856303321 |
|
Kifer Yuri <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Large deviations and adiabatic transitions for dynamical systems and Markov processes in fully coupled averaging / / Yuri Kifer
| Large deviations and adiabatic transitions for dynamical systems and Markov processes in fully coupled averaging / / Yuri Kifer |
| Autore | Kifer Yuri <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina | 515/.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Averaging method (Differential equations)
Large deviations Differential equations - Qualitative theory Attractors (Mathematics) |
| ISBN | 1-4704-0558-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""2.1. Introduction""""2.2. Preliminaries and main results""; ""2.3. Large deviations""; ""2.4. Verifying assumptions for random evolutions""; ""2.5. Further properties of S-functionals""; ""2.6. ""Very long"" time behavior: exits from a domain""; ""2.7. Adiabatic transitions between basins of attractors""; ""2.8. Averaging in difference equations""; ""2.9. Extensions: stochastic resonance""; ""2.10. Young measures approach to averaging""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910827665903321 |
|
Kifer Yuri <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Regularity estimates for nonlinear elliptic and parabolic problems : Cetraro, Italy, 2009 / John Lewis ... [et al.]
| Regularity estimates for nonlinear elliptic and parabolic problems : Cetraro, Italy, 2009 / John Lewis ... [et al.] |
| Autore | Lewis, John |
| Pubbl/distr/stampa | Heidelberg ; London ; New York : Springer, c2012 |
| Descrizione fisica | xi, 247 p. : ill. ; 24 cm |
| Disciplina | 515.355 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 2045 |
| Soggetto topico |
Differential equations, Elliptic
Differential equations, Parabolic Differential equations, Nonlinear Differential equations - Qualitative theory |
| ISBN | 9783642271441 |
| Classificazione |
AMS 35J70
AMS 35J75 AMS 35J92 LC QA377.R448 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001809089707536 |
|
Lewis, John
|
||
| Heidelberg ; London ; New York : Springer, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Regularity estimates for nonlinear elliptic and parabolic problems : Cetraro, Italy, 2009 / / John Lewis ... [et al.] ; editors, Ugo Gianazza, John Lewis
| Regularity estimates for nonlinear elliptic and parabolic problems : Cetraro, Italy, 2009 / / John Lewis ... [et al.] ; editors, Ugo Gianazza, John Lewis |
| Edizione | [1st ed. 2012.] |
| Pubbl/distr/stampa | Heidelberg ; ; New York, : Springer, c2012 |
| Descrizione fisica | 1 online resource (XI, 247 p. 3 illus.) |
| Disciplina | 515.353 |
| Altri autori (Persone) |
LewisJohn L. <1943->
GianazzaUgo |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Differential equations, Elliptic
Differential equations, Parabolic Differential equations, Nonlinear Differential equations - Qualitative theory |
| ISBN | 3-642-27145-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics -- Regularity of Supersolutions -- Introduction to random Tug-of-War games and PDEs -- The Problems of the Obstacle in Lower Dimension and for the Fractional Laplacian. |
| Record Nr. | UNINA-9910483203403321 |
| Heidelberg ; ; New York, : Springer, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
