Nonlinear oscillations and waves in dynamical systems /
This volume is an up-to-date treatment of the theory of nonlinear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified point of view. Also, the relation between the theory of oscillations and w...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht ; Boston :
Kluwer Academic Publishers,
[1996]
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| Series: | Mathematics and its applications (Kluwer Academic Publishers) ;
v. 360. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Ch. 1. Dynamical systems. Phase space. Stochastic and chaotic systems. The number of degrees of freedom
- Ch. 2. Hamiltonian systems close to integrable. Appearance of stochastic motions in Hamiltonian systems
- Ch. 3. Attractors and repellers. Reconstruction of attractors from an experimental time series. Quantitative characteristics of attractors
- Ch. 4. Natural and forced oscillations and waves. Self-oscillations and auto-waves
- Ch. 5. Conservative systems
- Ch. 6. Non-conservative Hamiltonian systems and dissipative systems
- Ch. 7. Natural oscillations of non-linear oscillators
- Ch. 8. Natural oscillations in systems of coupled oscillators
- Ch. 9. Natural waves in bounded and unbounded continuous media. Solitons
- Ch. 10. Oscillations of a non-linear oscillator excited by an external force
- Ch. 11. Oscillations of coupled non-linear oscillators excited by an external periodic force
- Ch. 12. Parametric oscillations.