Regular and Chaotic Oscillations /
In the present book the modern theory of non-linear oscilla- tions both regular and chaotic, is set out, primarily, as applied to mechanical problems. The material is presented in a non-traditional manner with emphasizing of the new results of the theory otained partially by the author, who is one o...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2001.
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| Series: | Foundations of engineering mechanics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Introduction
- The main analytical methods of studies of nonlinear oscillations in near-conservative systems
- General properties of autonomous dynamical systems
- Examples of natural oscillations in systems with one degree of freedom
- Natural oscillations in systems with many degrees of freedom. Normal oscillations
- Self-oscillatory systems with one degree of freedom
- Self-oscillatory systems with one and a half degrees of freedom
- Examples of self-oscillatory systems with two and more degrees of freedom
- Synchronization and chaotization of self-oscillatory systems by an external harmonic force
- Interaction of two self-oscillatory systems. Synchronization and chaotization of self-oscillations
- Interaction of three and more self-oscillatory systems
- Oscillations of nonlinear systems excited by external periodic forces
- Parametrical excitation of oscillations
- Changes in the dynamical behavior of nonlinear systems induced by high-frequency vibration or by noise.