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Contents

Chapters in this book

  1. Frontmatter i
  2. Contents v
  3. Preface vii
  4. Chapter One. Tonelli Lagrangians and Hamiltonians on Compact Manifolds 1
  5. Chapter Two. From KAM Theory to Aubry-Mather Theory 8
  6. Chapter Three. Action-Minimizing Invariant Measures for Tonelli Lagrangians 18
  7. Chapter Four. Action-Minimizing Curves for Tonelli Lagrangians 48
  8. Chapter Five. The Hamilton-Jacobi Equation and Weak KAM Theory 76
  9. Appendices
  10. Appendix A. On the Existence of Invariant Lagrangian Graphs 89
  11. Appendix B. Schwartzman Asymptotic Cycle and Dynamics 97
  12. Bibliography 107
  13. Index 113
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Action-minimizing Methods in Hamiltonian Dynamics
This chapter is in the book Action-minimizing Methods in Hamiltonian Dynamics
https://doi.org/10.1515/9781400866618-toc

Chapters in this book

  1. Frontmatter i
  2. Contents v
  3. Preface vii
  4. Chapter One. Tonelli Lagrangians and Hamiltonians on Compact Manifolds 1
  5. Chapter Two. From KAM Theory to Aubry-Mather Theory 8
  6. Chapter Three. Action-Minimizing Invariant Measures for Tonelli Lagrangians 18
  7. Chapter Four. Action-Minimizing Curves for Tonelli Lagrangians 48
  8. Chapter Five. The Hamilton-Jacobi Equation and Weak KAM Theory 76
  9. Appendices
  10. Appendix A. On the Existence of Invariant Lagrangian Graphs 89
  11. Appendix B. Schwartzman Asymptotic Cycle and Dynamics 97
  12. Bibliography 107
  13. Index 113
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