Action-minimizing methods in Hamiltonian dynamics : an introduction to Aubry-Mather theory / / Alfonso Sorrentino |
Autore | Sorrentino Alfonso |
Edizione | [Pilot project,eBook available to selected US libraries only] |
Pubbl/distr/stampa | Princeton, [New Jersey] ; ; Oxford, [England] : , : Princeton University Press, , 2015 |
Descrizione fisica | 1 online resource (129 p.) |
Disciplina | 514.74 |
Collana | Mathematical Notes |
Soggetto topico |
Hamiltonian systems
Hamilton-Jacobi equations |
Soggetto non controllato |
Albert Fathi
Aubry set AubryЍather theory Hamiltonian dynamics Hamiltonians HamiltonЊacobi equation John Mather KAM theory KAM tori Lagrangian dynamics MAK tori Ma set Ma's critical value Ma's potential Maher sets Peierls' barrier Tonelli Lagrangians action-minimizing measure action-minimizing orbits chaos classical mechanics compact manifold differentiability invariant Lagrangian graphs invariant probability measures invariant sets orbits pendulum stable motion strict convexity unstable motion |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Tonelli Lagrangians and Hamiltonians on Compact Manifolds -- Chapter Two. From KAM Theory to Aubry-Mather Theory -- Chapter Three. Action-Minimizing Invariant Measures for Tonelli Lagrangians -- Chapter Four. Action-Minimizing Curves for Tonelli Lagrangians -- Chapter Five. The Hamilton-Jacobi Equation and Weak KAM Theory -- Appendices -- Appendix A. On the Existence of Invariant Lagrangian Graphs -- Appendix B. Schwartzman Asymptotic Cycle and Dynamics -- Bibliography -- Index |
Record Nr. | UNINA-9910788016003321 |
Sorrentino Alfonso | ||
Princeton, [New Jersey] ; ; Oxford, [England] : , : Princeton University Press, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Action-minimizing methods in Hamiltonian dynamics : an introduction to Aubry-Mather theory / / Alfonso Sorrentino |
Autore | Sorrentino Alfonso |
Edizione | [Pilot project,eBook available to selected US libraries only] |
Pubbl/distr/stampa | Princeton, [New Jersey] ; ; Oxford, [England] : , : Princeton University Press, , 2015 |
Descrizione fisica | 1 online resource (129 p.) |
Disciplina | 514.74 |
Collana | Mathematical Notes |
Soggetto topico |
Hamiltonian systems
Hamilton-Jacobi equations |
Soggetto non controllato |
Albert Fathi
Aubry set AubryЍather theory Hamiltonian dynamics Hamiltonians HamiltonЊacobi equation John Mather KAM theory KAM tori Lagrangian dynamics MAK tori Ma set Ma's critical value Ma's potential Maher sets Peierls' barrier Tonelli Lagrangians action-minimizing measure action-minimizing orbits chaos classical mechanics compact manifold differentiability invariant Lagrangian graphs invariant probability measures invariant sets orbits pendulum stable motion strict convexity unstable motion |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Tonelli Lagrangians and Hamiltonians on Compact Manifolds -- Chapter Two. From KAM Theory to Aubry-Mather Theory -- Chapter Three. Action-Minimizing Invariant Measures for Tonelli Lagrangians -- Chapter Four. Action-Minimizing Curves for Tonelli Lagrangians -- Chapter Five. The Hamilton-Jacobi Equation and Weak KAM Theory -- Appendices -- Appendix A. On the Existence of Invariant Lagrangian Graphs -- Appendix B. Schwartzman Asymptotic Cycle and Dynamics -- Bibliography -- Index |
Record Nr. | UNINA-9910812171703321 |
Sorrentino Alfonso | ||
Princeton, [New Jersey] ; ; Oxford, [England] : , : Princeton University Press, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Ergodic Optimization in the Expanding Case : Concepts, Tools and Applications / Eduardo Garibaldi |
Autore | Garibaldi, Eduardo |
Pubbl/distr/stampa | Cham, : Springer, 2017 |
Descrizione fisica | viii, 71 p. ; 24 cm |
Soggetto topico |
37-XX - Dynamical systems and ergodic theory [MSC 2020]
37A30 - Ergodic theorems, spectral theory, Markov operators [MSC 2020] 37J40 - Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion [MSC 2020] 37K55 - Perturbations, KAM for infinite-dimensional Hamiltonian and Lagrangian systems [MSC 2020] 37Kxx - Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems [MSC 2020] 70H20 - Hamilton-Jacobi equations in mechanics [MSC 2020] 35F21 - Hamilton-Jacobi equations [MSC 2020] 37N40 - Dynamical systems in optimization and economics [MSC 2020] 70G75 - Variational methods for problems in mechanics [MSC 2020] |
Soggetto non controllato |
Aubry set
Ergodic optimization Mañé potential Sub-actions Thermodynamics Weak KAM theory |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0124096 |
Garibaldi, Eduardo | ||
Cham, : Springer, 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Ergodic Optimization in the Expanding Case : Concepts, Tools and Applications / Eduardo Garibaldi |
Autore | Garibaldi, Eduardo |
Pubbl/distr/stampa | Cham, : Springer, 2017 |
Descrizione fisica | viii, 71 p. ; 24 cm |
Soggetto topico |
35F21 - Hamilton-Jacobi equations [MSC 2020]
37-XX - Dynamical systems and ergodic theory [MSC 2020] 37A30 - Ergodic theorems, spectral theory, Markov operators [MSC 2020] 37J40 - Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion [MSC 2020] 37K55 - Perturbations, KAM for infinite-dimensional Hamiltonian and Lagrangian systems [MSC 2020] 37Kxx - Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems [MSC 2020] 37N40 - Dynamical systems in optimization and economics [MSC 2020] 70G75 - Variational methods for problems in mechanics [MSC 2020] 70H20 - Hamilton-Jacobi equations in mechanics [MSC 2020] |
Soggetto non controllato |
Aubry set
Ergodic optimization Mañé potential Sub-actions Thermodynamics Weak KAM theory |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00124096 |
Garibaldi, Eduardo | ||
Cham, : Springer, 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|