Résumé
In this book the modern theory of both regular and chaotic
nonlinear oscillations is set out, primarily, as applied to
mechanical problems. The material is presented in a
nontraditional manner with emphasis on the new results of
the theory obtained partially by the author, who is one of
the leading experts in the area. Among the up-to-date
topics are synchronization and chaotization of
self-oscillatory systems and the influence of weak random
vibrations on the modification of characteristics and
behavior of nonlinear systems. One of the purposes of the
book is to enable readers to gain a thorough understanding
of this theory and to show that it can be very useful in
engineering investigations. The primary audience for this
book is researchers working with different oscillatory
processes and students interested in a thorough study of
the general laws and applications of the theory of
nonlinear oscillations.
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.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Polina S. Landa |
| Parution | 15/01/2001 |
| Nb. de pages | 396 |
| Format | 15,5 x 24 |
| Couverture | Relié |
| Poids | 710g |
| Intérieur | Noir et Blanc |
| EAN13 | 9773540410011 |
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