A First Course in Dynamics : with a Panorama of Recent Developments (Paperback)

1. What is a dynamical system?; Part I. Simple Behavior in Dynamical Systems: 2. Systems with stable asymptotic behavior; 3. Linear maps and linear differential equations; Part II. Complicated Behavior in Dynamical Systems: 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 of Dynamical Systems: 10. Hyperbolic dynamics; 11. Quadratic maps; 12. Homoclinic tangles; 13. Strange attractors; 14. Diophantine approximation and applications of dynamics to number theory; 15. Variational methods, twist maps, and closed geodesics; Appendix; Solutions.