6. The Lorenz equations

Chapters in this book

1. Frontmatter i
2. Contents v
3. Acknowledgements vii
4. Part I. Prologue
5. 1. What is the use of chaos? 3
6. 2. A graphical zoo of strange and peculiar attractors 15
7. Part II. Iterations
8. 3. One-dimensional iterative maps 39
9. 4. Two-dimensional iterative maps 58
10. Part III. Endogenous chaos
11. 5. Chaos in feedback systems 99
12. 6. The Lorenz equations 111
13. 7. Instabilities and chaos in lasers and optical resonators 135
14. 8. Differential systems in ecology and epidemiology 158
15. 9. Oscillations and chaos in cellular metabolism and physiological systems 179
16. Part IV. Forced chaos
17. 10. Periodically forced nonlinear oscillators 211
18. 11. Chaotic cardiac rhythms 237
19. 12. Chaotic oscillations and bifurcations in squid giant axons 257
20. Part V. Measuring chaos
21. 13. Quantifying chaos with Lyapunov exponents 273
22. 14. Estimating the fractal dimensions and entropies of strange attractors 291
23. Part VI. Epilogue
24. 15. How chaotic is the universe? 315
25. Index 321