论文信息 - A First Course in Dynamics: with a Panorama of Recent Developments

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

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.

Boris Hasselblatt | Anatole Katok | A. Katok | B. Hasselblatt

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