Hassleblatt, Boris, Katok, A. 　著

内容

目次

1. What is a dynamical system?; Part I. Simple Behavior in DynamicalSystems: 2. Systems with stable asymptotic behavior; 3. Linear maps andlinear differential equations; Part II. Complicated Behavior in DynamicalSystems: 4. Quasiperiodicity and uniform distribution on the circle; 5.Quasiperiodicity and uniform distribution in higher dimension; 6.Conservative systems; 7. Simple systems with complicated orbit structure; 8.Entropy and chaos; 9. Simple dynamics as a tool; Part III. Panorama ofDynamical Systems: 10. Hyperbolic dynamics; 11. Quadratic maps; 12.Homoclinic tangles; 13. Strange attractors; 14. Diophantine approximation andapplications of dynamics to number theory; 15. Variational methods, twistmaps, and closed geodesics; Appendix; Solutions.