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Fixed point theorems for plane continua with applications / / Alexander M. Blokh [and four others]
| Fixed point theorems for plane continua with applications / / Alexander M. Blokh [and four others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Fixed point theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1004-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Chapter 4. Partitions of domains in the sphere""""4.1. Kulkarni-Pinkall Partitions""; ""4.2. Hyperbolic foliation of simply connected domains""; ""4.3. Schoenflies Theorem""; ""4.4. Prime ends""; ""Part 2 . Applications of Basic Theory""; ""Chapter 5. Description of main results of Part 2""; ""5.1. Outchannels""; ""5.2. Fixed points in invariant continua""; ""5.3. Fixed points in non-invariant continua �the case of dendrites""; ""5.4. Fixed points in non-invariant continua �the planar case""; ""5.5. The polynomial case""; ""Chapter 6. Outchannels and their properties""
""6.1. Outchannels""""6.2. Uniqueness of the Outchannel""; ""Chapter 7. Fixed points""; ""7.1. Fixed points in invariant continua""; ""7.2. Dendrites""; ""7.3. Non-invariant continua and positively oriented maps of the plane""; ""7.4. Maps with isolated fixed points""; ""7.5. Applications to complex dynamics""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910480504903321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
| Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin |
| Autore | Valdinoci Enrico <1974-> |
| 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 |
Geometry, Differential
Laplacian operator Level set methods |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0462-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Modifications of the potential and of one-dimensional solutions""; ""Chapter 3. Geometry of the touching points""; ""Chapter 4. Measure theoretic results""; ""Chapter 5. Estimates on the measure of the projection of the contact set""; ""Chapter 6. Proof of Theorem 1.1""; ""Chapter 7. Proof of Theorem 1.2""; ""Chapter 8. Proof of Theorem 1.3""; ""Chapter 9. Proof of Theorem 1.4""; ""Appendix A. Proof of the measure theoretic results""; ""A.1. Proof of Lemma 4.1""; ""A.2. Proof of Lemma 4.2""; ""A.3. Proof of Lemma 4.3""
""Appendix B. Summary of elementary lemmata""""Bibliography"" |
| Record Nr. | UNINA-9910481007103321 |
Valdinoci Enrico <1974->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
| Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin |
| Autore | Valdinoci Enrico <1974-> |
| 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 |
Geometry, Differential
Laplacian operator Level set methods |
| ISBN | 1-4704-0462-1 |
| Classificazione | 31.52 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Modifications of the potential and of one-dimensional solutions""; ""Chapter 3. Geometry of the touching points""; ""Chapter 4. Measure theoretic results""; ""Chapter 5. Estimates on the measure of the projection of the contact set""; ""Chapter 6. Proof of Theorem 1.1""; ""Chapter 7. Proof of Theorem 1.2""; ""Chapter 8. Proof of Theorem 1.3""; ""Chapter 9. Proof of Theorem 1.4""; ""Appendix A. Proof of the measure theoretic results""; ""A.1. Proof of Lemma 4.1""; ""A.2. Proof of Lemma 4.2""; ""A.3. Proof of Lemma 4.3""
""Appendix B. Summary of elementary lemmata""""Bibliography"" |
| Record Nr. | UNINA-9910788742103321 |
|
Valdinoci Enrico <1974->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
| Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin |
| Autore | Valdinoci Enrico <1974-> |
| 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 |
Geometry, Differential
Laplacian operator Level set methods |
| ISBN | 1-4704-0462-1 |
| Classificazione | 31.52 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Modifications of the potential and of one-dimensional solutions""; ""Chapter 3. Geometry of the touching points""; ""Chapter 4. Measure theoretic results""; ""Chapter 5. Estimates on the measure of the projection of the contact set""; ""Chapter 6. Proof of Theorem 1.1""; ""Chapter 7. Proof of Theorem 1.2""; ""Chapter 8. Proof of Theorem 1.3""; ""Chapter 9. Proof of Theorem 1.4""; ""Appendix A. Proof of the measure theoretic results""; ""A.1. Proof of Lemma 4.1""; ""A.2. Proof of Lemma 4.2""; ""A.3. Proof of Lemma 4.3""
""Appendix B. Summary of elementary lemmata""""Bibliography"" |
| Record Nr. | UNINA-9910828648703321 |
|
Valdinoci Enrico <1974->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric and probabilistic structures in dynamics : Workshop on Dynamical Systems and Related Topics in honor of Michael Brin on the occasion of his 60th birthday, March 15-18, 2008, University of Maryland, College Park, MD / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors
| Geometric and probabilistic structures in dynamics : Workshop on Dynamical Systems and Related Topics in honor of Michael Brin on the occasion of his 60th birthday, March 15-18, 2008, University of Maryland, College Park, MD / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (358 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Geometry, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8148-5
0-8218-4286-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Nonconvergence examples in averaging""; ""Periodic rank one geodesics in Hadamard spaces""; ""Dynamical determinants and spectrum for hyperbolic diffeomorphisms""; ""Open problems in symbolic dynamics""; ""1. Introduction""; ""2. Definitions""; ""3. Classification of SFTs and the Little Shift Equivalence Conjecture""; ""4. Range of the dimension representation""; ""5. Positive Rational Shift Equivalence Conjecture""; ""6. The Generalized Spectral Conjecture""; ""7. The Equal Entropy Factors Conjecture for SFTs""; ""8. The factors problem for sofic shifts""
""9. The Good Finitary Conjecture for Markov shifts""""10. What can be a beta function?""; ""11. Structure of expansive subdynamics""; ""12. Can nonSFT expansive maps commute with irreducible SFTs?""; ""13. The Commuting Powers Conjecture for SFTs""; ""14. Jointly invariant measures""; ""15. Zd SFTs""; ""16. Stable limit sets of cellular automata""; ""17. Algebraic Zd SFTs""; ""18. Finitary codes and Markov random fields""; ""19. Decidability problems""; ""20. Onesided SFTs: the embedding problem""; ""21. Onesided sofic shifts: the classification problem"" ""22. The Virtual FOG Conjecture for automorphisms of a mixing SFT""""23. Topological orbit equivalence""; ""24. Symbolic extension entropy and entropy structure""; ""25. Cellular automata and periodic points""; ""26. Cellular automata on big groups""; ""27. Entropy conjugacy and countable state Markov chains""; ""28. Beta shifts: Salem numbers and intrinsic ergodicity""; ""29. Adler's Renewal Question""; ""30. The Road Coloring Problem""; ""31. Parry's Finiteness Question for skew products""; ""32. Classification of sofic shifts"" ""33. Classification and flow equivalence of general shifts""""34. The Pisot Conjecture""; ""35. Nivat's Conjecture""; ""Appendices""; ""Appendix A. Commuting SFTs and periodic points""; ""Appendix B. Commuting SFTs from commuting matrices, following Nasu""; ""Appendix C. LR Textile Systems""; ""Appendix D. Commuting SFTs from matrices commuting on dimension""; ""Appendix E. Primitive matrices SE but not SSE over Z+ [1/p]""; ""Appendix F. Examples for the onesided sofic classification problem""; ""Bibliography"" ""New examples of topologically equivalent S-unimodal maps with different metric properties""""Appendix. Quasiconformal deformation of multipliers""; ""A remark on the group of PL-homeomorphisms in dimension one""; ""Fermi acceleration""; ""Introduction""; ""Stochastic models""; ""One and a half degree of freedom""; ""Several degrees of freedom""; ""Galton board""; ""Conclusions""; ""References""; ""Riemannian 2-step nilmanifolds with prescribed Ricci tensor""; ""On the Greenfield-Wallach and Katok conjectures in dimension three"" ""Metastability and Stochastic Resonance for Multiscale Systems"" |
| Record Nr. | UNINA-9910480288003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric and probabilistic structures in dynamics : Workshop on Dynamical Systems and Related Topics in honor of Michael Brin on the occasion of his 60th birthday, March 15-18, 2008, University of Maryland, College Park, MD / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors
| Geometric and probabilistic structures in dynamics : Workshop on Dynamical Systems and Related Topics in honor of Michael Brin on the occasion of his 60th birthday, March 15-18, 2008, University of Maryland, College Park, MD / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (358 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Geometry, Algebraic |
| ISBN |
0-8218-8148-5
0-8218-4286-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Nonconvergence examples in averaging -- Periodic rank one geodesics in Hadamard spaces -- Dynamical determinants and spectrum for hyperbolic diffeomorphisms -- Open problems in symbolic dynamics -- 1. Introduction -- 2. Definitions -- 3. Classification of SFTs and the Little Shift Equivalence Conjecture -- 4. Range of the dimension representation -- 5. Positive Rational Shift Equivalence Conjecture -- 6. The Generalized Spectral Conjecture -- 7. The Equal Entropy Factors Conjecture for SFTs -- 8. The factors problem for sofic shifts -- 9. The Good Finitary Conjecture for Markov shifts -- 10. What can be a beta function? -- 11. Structure of expansive subdynamics -- 12. Can nonSFT expansive maps commute with irreducible SFTs? -- 13. The Commuting Powers Conjecture for SFTs -- 14. Jointly invariant measures -- 15. Zd SFTs -- 16. Stable limit sets of cellular automata -- 17. Algebraic Zd SFTs -- 18. Finitary codes and Markov random fields -- 19. Decidability problems -- 20. Onesided SFTs: the embedding problem -- 21. Onesided sofic shifts: the classification problem -- 22. The Virtual FOG Conjecture for automorphisms of a mixing SFT -- 23. Topological orbit equivalence -- 24. Symbolic extension entropy and entropy structure -- 25. Cellular automata and periodic points -- 26. Cellular automata on big groups -- 27. Entropy conjugacy and countable state Markov chains -- 28. Beta shifts: Salem numbers and intrinsic ergodicity -- 29. Adler's Renewal Question -- 30. The Road Coloring Problem -- 31. Parry's Finiteness Question for skew products -- 32. Classification of sofic shifts -- 33. Classification and flow equivalence of general shifts -- 34. The Pisot Conjecture -- 35. Nivat's Conjecture -- Appendices -- Appendix A. Commuting SFTs and periodic points -- Appendix B. Commuting SFTs from commuting matrices, following Nasu -- Appendix C. LR Textile Systems -- Appendix D. Commuting SFTs from matrices commuting on dimension -- Appendix E. Primitive matrices SE but not SSE over Z+ [1/p] -- Appendix F. Examples for the onesided sofic classification problem -- Bibliography -- New examples of topologically equivalent S-unimodal maps with different metric properties -- Appendix. Quasiconformal deformation of multipliers -- A remark on the group of PL-homeomorphisms in dimension one -- Fermi acceleration -- Introduction -- Stochastic models -- One and a half degree of freedom -- Several degrees of freedom -- Galton board -- Conclusions -- References -- Riemannian 2-step nilmanifolds with prescribed Ricci tensor -- On the Greenfield-Wallach and Katok conjectures in dimension three -- Metastability and Stochastic Resonance for Multiscale Systems. |
| Record Nr. | UNINA-9910788795703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric and probabilistic structures in dynamics : Workshop on Dynamical Systems and Related Topics in honor of Michael Brin on the occasion of his 60th birthday, March 15-18, 2008, University of Maryland, College Park, MD / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors
| Geometric and probabilistic structures in dynamics : Workshop on Dynamical Systems and Related Topics in honor of Michael Brin on the occasion of his 60th birthday, March 15-18, 2008, University of Maryland, College Park, MD / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (358 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Geometry, Algebraic |
| ISBN |
0-8218-8148-5
0-8218-4286-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Nonconvergence examples in averaging -- Periodic rank one geodesics in Hadamard spaces -- Dynamical determinants and spectrum for hyperbolic diffeomorphisms -- Open problems in symbolic dynamics -- 1. Introduction -- 2. Definitions -- 3. Classification of SFTs and the Little Shift Equivalence Conjecture -- 4. Range of the dimension representation -- 5. Positive Rational Shift Equivalence Conjecture -- 6. The Generalized Spectral Conjecture -- 7. The Equal Entropy Factors Conjecture for SFTs -- 8. The factors problem for sofic shifts -- 9. The Good Finitary Conjecture for Markov shifts -- 10. What can be a beta function? -- 11. Structure of expansive subdynamics -- 12. Can nonSFT expansive maps commute with irreducible SFTs? -- 13. The Commuting Powers Conjecture for SFTs -- 14. Jointly invariant measures -- 15. Zd SFTs -- 16. Stable limit sets of cellular automata -- 17. Algebraic Zd SFTs -- 18. Finitary codes and Markov random fields -- 19. Decidability problems -- 20. Onesided SFTs: the embedding problem -- 21. Onesided sofic shifts: the classification problem -- 22. The Virtual FOG Conjecture for automorphisms of a mixing SFT -- 23. Topological orbit equivalence -- 24. Symbolic extension entropy and entropy structure -- 25. Cellular automata and periodic points -- 26. Cellular automata on big groups -- 27. Entropy conjugacy and countable state Markov chains -- 28. Beta shifts: Salem numbers and intrinsic ergodicity -- 29. Adler's Renewal Question -- 30. The Road Coloring Problem -- 31. Parry's Finiteness Question for skew products -- 32. Classification of sofic shifts -- 33. Classification and flow equivalence of general shifts -- 34. The Pisot Conjecture -- 35. Nivat's Conjecture -- Appendices -- Appendix A. Commuting SFTs and periodic points -- Appendix B. Commuting SFTs from commuting matrices, following Nasu -- Appendix C. LR Textile Systems -- Appendix D. Commuting SFTs from matrices commuting on dimension -- Appendix E. Primitive matrices SE but not SSE over Z+ [1/p] -- Appendix F. Examples for the onesided sofic classification problem -- Bibliography -- New examples of topologically equivalent S-unimodal maps with different metric properties -- Appendix. Quasiconformal deformation of multipliers -- A remark on the group of PL-homeomorphisms in dimension one -- Fermi acceleration -- Introduction -- Stochastic models -- One and a half degree of freedom -- Several degrees of freedom -- Galton board -- Conclusions -- References -- Riemannian 2-step nilmanifolds with prescribed Ricci tensor -- On the Greenfield-Wallach and Katok conjectures in dimension three -- Metastability and Stochastic Resonance for Multiscale Systems. |
| Record Nr. | UNINA-9910809225003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| 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 |
| 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 | ||
| ||
