Appendix A. Second-order Dynamical Systems and Their Bifurcations

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface xi
4. Chapter 1. Introduction to Evolutionary Processes 1
5. Chapter 2. Modeling Approaches 43
6. Chapter 3. The Canonical Equation of Adaptive Dynamics 74
7. Chapter 4. Evolutionary Branching and the Origin of Diversity 119
8. Chapter 5. Multiple Attractors and Cyclic Evolutionary Regimes 138
9. Chapter 6. Catastrophes of Evolutionary Regimes 153
10. Chapter 7. Branching-Extinction Evolutionary Cycles 172
11. Chapter 8. Demographic Bistability and Evolutionary Reversals 186
12. Chapter 9. Slow-Fast Populations Dynamics and Evolutionary Ridges 204
13. Chapter 10. The First Example of Evolutionary Chaos 231
14. Appendix A. Second-order Dynamical Systems and Their Bifurcations 243
15. Appendix B. The Invasion Implies Substitution Theorem 272
16. Appendix C. The Probability of Escaping Accidental Extinction 277
17. Appendix D. The Branching Conditions 281
18. Bibliography 287
19. Index 325