Book contents
- Frontmatter
- Contents
- Foreword
- Acknowledgements
- 1 Universal laws of nature
- 2 Lagrange's and Hamilton's equations
- 3 Flows in phase space
- 4 Motion in a central potential
- 5 Small oscillations about equilibria
- 6 Integrable and chaotic oscillations
- 7 Parameter-dependent transformations
- 8 Linear transformations, rotations, and rotating frames
- 9 Rigid body motions
- 10 Lagrangian dynamics and transformations in configuration space
- 11 Relativity, geometry, and gravity
- 12 Generalized vs nonholonomic coordinates
- 13 Noncanonical flows
- 14 Damped-driven Newtonian systems
- 15 Hamiltonian dynamics and transformations in phase space
- 16 Integrable canonical flows
- 17 Nonintegrable canonical flows
- 18 Simulations, complexity, and laws of nature
- Bibliography
- Index
2 - Lagrange's and Hamilton's equations
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Foreword
- Acknowledgements
- 1 Universal laws of nature
- 2 Lagrange's and Hamilton's equations
- 3 Flows in phase space
- 4 Motion in a central potential
- 5 Small oscillations about equilibria
- 6 Integrable and chaotic oscillations
- 7 Parameter-dependent transformations
- 8 Linear transformations, rotations, and rotating frames
- 9 Rigid body motions
- 10 Lagrangian dynamics and transformations in configuration space
- 11 Relativity, geometry, and gravity
- 12 Generalized vs nonholonomic coordinates
- 13 Noncanonical flows
- 14 Damped-driven Newtonian systems
- 15 Hamiltonian dynamics and transformations in phase space
- 16 Integrable canonical flows
- 17 Nonintegrable canonical flows
- 18 Simulations, complexity, and laws of nature
- Bibliography
- Index
Summary
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- Information
- Classical MechanicsTransformations, Flows, Integrable and Chaotic Dynamics, pp. 45 - 79Publisher: Cambridge University PressPrint publication year: 1997