Introduction to nonlinear oscillations / Vladimir I. Nekorkin.
Publication details: Weinheim : Wiley-VCH, ©2015.Description: xi, 250 p. : illustrations ; 25 cmISBN:- 9783527413300
- 531.32 23 N418
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 531.32 N418 (Browse shelf(Opens below)) | Available | 137193 |
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| 531.32 M514 Elements of vibration analysis | 531.32 M666 Nonlinear oscillations | 531.32 N331 Nonlinear sacillations | 531.32 N418 Introduction to nonlinear oscillations / | 531.32 P665 Physics of vibration | 531.32 Sch351 Nonlinear vibrations | 531.32015118 F832 Mathematical methods for oscillations and waves/ |
Includes bibliographical references and index.
1. Introduction to the Theory of Oscillations --
2. One-Dimensional Dynamics --
3. Stability of Equilibria. A Classification of Equilibria of
Two-Dimensional Linear Systems --
4. Analysis of the Stability of Equilibria of Multidimensional Nonlinear Systems --
5. Linear and Nonlinear Oscillators --
6. Basic Properties of Maps --
7. Limit Cycles --
8. Basic Bifurcations of Equilibria in the Plane --
9. Bifurcations of Limit Cycles. Saddle Homoclinic Bifurcation --
10. The Saddle-Node Homoclinic Bifurcation. Dynamics of Slow-Fast Systems in the Plane --
11. Dynamics of a Superconducting Josephson Junction --
12. The Van der Pol Method. Self-Sustained Oscillations and Truncated Systems --
13. Forced Oscillations of a Linear Oscillator --
14. Forced Oscillations in Weakly Nonlinear Systems with One Degree of Freedom --
15. Forced Synchronization of a Self-Oscillatory System with a Periodic External Force --
16. Parametric Oscillations --
17. Answers to Selected Exercises.
The text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications.
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