Book contents
- Frontmatter
- Contents
- Apology
- Plan of the Book
- Expressions of Gratitude
- 1 Hamiltonian Formalism
- 2 Canonical Transformations
- 3 Integrable Systems
- 4 First Integrals
- 5 Nonlinear Oscillations
- 6 The Method of Lie Series and of Lie Trans-forms
- 7 The Normal Form of Poincaré and Birkhoff
- 8 Persistence of Invariant Tori
- 9 Long Time Stability
- 10 Stability and Chaos
- A The Geometry of Resonances
- B A Quick Introduction to Symplectic Geometry
- References
- Index
5 - Nonlinear Oscillations
Published online by Cambridge University Press: 21 April 2022
- Frontmatter
- Contents
- Apology
- Plan of the Book
- Expressions of Gratitude
- 1 Hamiltonian Formalism
- 2 Canonical Transformations
- 3 Integrable Systems
- 4 First Integrals
- 5 Nonlinear Oscillations
- 6 The Method of Lie Series and of Lie Trans-forms
- 7 The Normal Form of Poincaré and Birkhoff
- 8 Persistence of Invariant Tori
- 9 Long Time Stability
- 10 Stability and Chaos
- A The Geometry of Resonances
- B A Quick Introduction to Symplectic Geometry
- References
- Index
Summary
- Type
- Chapter
- Information
- Notes on Hamiltonian Dynamical Systems , pp. 147 - 194Publisher: Cambridge University PressPrint publication year: 2022