Nonlinear Dynamics and Chaotic Phenomena An Introduction
FolJowing the formulation of the laws of mechanics by Newton, Lagrange sought to clarify and emphasize their geometrical character. Poincare and Liapunov successfuIJy developed analytical mechanics further along these lines. In this approach, one represents the evolution of all possible states (posi...
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| Format: | eBook |
| Language: | English |
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Dordrecht
Springer Netherlands
1997, 1997
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| Edition: | 1st ed. 1997 |
| Series: | Fluid Mechanics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- to Chaotic Behavior in Nonlinear Dynamics
- 1. Nonlinear Differential Equations
- 2. Bifurcation Theory
- 3. Hamiltonian Dynamics
- 4. Integrable Systems
- 5. Chaos in Conservative Systems
- 6. Chaos in Dissipative Systems
- 7. Fractals and Multi-Fractals in Turbulence
- 8. Singularity Analysis and the Painlevé Property of Dynamical Systems
- Exercises
- References