Some geometrical models of chaotic dynamics

Kapitel in diesem Buch

1. Frontmatter i
2. Contents v
3. Chairman's introduction 3
4. Diagnosis of dynamical systems with fluctuating parameters 5
5. Nonlinear dynamics, chaos and complex cardiac arrhythmias 9
6. Chaos and the dynamics of biological populations 27
7. Fractal bifurcation sets, renormalization strange sets and their universal invariants 45
8. From chaos to turbulence in Benard convection 63
9. Dynamics of convection 71
10. Chaos: a mixed metaphor for turbulence 87
11. Arithmetical theory of Anosov diffeomorphisms 97
12. Chaotic behaviour in the Solar System 109
13. Chaos in hamiltonian systems 131
14. Particle confinement and adiabatic invariance 145
15. Semi-classical quantization, adiabatic invariants and classical chaos 157
16. Some geometrical models of chaotic dynamics 171
17. THE BAKERIAN LECTURE, 1 9 8 7 Quantum chaology 183