Chapter 3. Stability of Nonlinear Systems

Kapitel in diesem Buch

1. Frontmatter iii
2. Preface vii
3. Contents ix
4. Introduction 1
5. Part I. Principal Methods of Nonlinear Analysis
6. Chapter 1. Analytical Methods 11
7. Chapter 2 Topological Methods and Graphical Solutions 33
8. Chapter 3. Stability of Nonlinear Systems 69
9. Part II. Forced Oscillations in Steady States
10. Chapter 4. Stability of Periodic Oscillations in Second-order Systems 101
11. Chapter 5. Harmonic Oscillations 114
12. Chapter 6. Higher-harmonic Oscillations 128
13. Chapter 7. Subharmonic Oscillations 142
14. Part IV. Self-oscillatory Systems with External Force
15. Chapter 12. Entrainment of Frequency 285
16. Chapter 13. Almost Periodic Oscillations 309
17. Appendix I: Expansions of the Mathieu Functions 339
18. Appendix II: Unstable Solutions of Kill's Equation 341
19. Appendix III: Unstable Solutions fox* the Extended Form of Kill's Equation 343
20. Appendix IV: Stability Criterion Obtained by Using the Perturbation Method 349
21. Appendix V: Remarks Concerning Integral Curves and Singular Points 353
22. Appendix VI: Electronic Switch 359
23. Problems 362
24. Bibliography 378
25. Index 385