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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 | ||
| ||
Mathematical Modeling and Simulation in Mechanics and Dynamic Systems
| Mathematical Modeling and Simulation in Mechanics and Dynamic Systems |
| Autore | Scutaru Maria Luminița |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (342 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
T-stress
X-FEM notch pipe stress difference method (SDM) system of transcendental equation computational solutions code-based modelling approach numerical analysis Sine-Gordon equations photovoltaics thermophotovoltaics solar energy polymer CNTs systems interphase section percolation onset mechanics high temperature proton exchange membrane fuel cell exergy analysis ecological analysis ecological coefficient of performance SARS-CoV-2 COVID-19 SEIRD (Susceptible, Exposed, Infected and Recovered and Death) SDL Catalonia nanowire cantilever stochastic model double Lorentzian spectrum HT-PEMFC irreversibility finite time thermodynamic optimization power density thermodynamic efficiency geometric analogy similarity theory dimensional analysis model law heat transfer straight bar Deep Learning (DL) Computational Fluid Dynamics (CFD) Artificial Neural Network (ANN) Convolutional Neural Network (CNN) turbulent flow machine learning deep learning artificial neural network ANN PEM fuel cell modeling control differentiability fractal hydrodynamic regimes fractal Schrödinger regimes fractal soliton fractal kink "holographic implementations" cubics apolar transport harmonic mapping principle period doubling scenario state probability functions partial aging in standby Monte Carlo simulation qualitative and quantitative verification of simulation model Lagrange-d'Alembert principle non-conservative dynamical system Euler-Poincaré equation helicopter model Lie group extended iso-geometric analysis extended finite element method crack pipeline ABAQUS harmonic mapping complex system dynamics SL (2R) group hidden symmetries computer simulations actual systems transfer learning autonomous feature extraction |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910566464403321 |
|
Scutaru Maria Luminița
|
||
| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||