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Action-minimizing methods in Hamiltonian dynamics : an introduction to Aubry-Mather theory / / Alfonso Sorrentino
| 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
| 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 | ||
| ||