Anatole Katok, A. B. Katok
Introduction to the Modern Theory of Dynamical Systems
Herausgeber: Rota, G. -C
Anatole Katok, A. B. Katok
Introduction to the Modern Theory of Dynamical Systems
Herausgeber: Rota, G. -C
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A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.
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A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.
Produktdetails
- Produktdetails
- Verlag: Cambridge University Press
- Seitenzahl: 824
- Erscheinungstermin: 20. Oktober 2010
- Englisch
- Abmessung: 234mm x 156mm x 44mm
- Gewicht: 1226g
- ISBN-13: 9780521575577
- ISBN-10: 0521575575
- Artikelnr.: 21036725
- Verlag: Cambridge University Press
- Seitenzahl: 824
- Erscheinungstermin: 20. Oktober 2010
- Englisch
- Abmessung: 234mm x 156mm x 44mm
- Gewicht: 1226g
- ISBN-13: 9780521575577
- ISBN-10: 0521575575
- Artikelnr.: 21036725
Part I. Examples and Fundamental Concepts
Introduction
1. First examples
2. Equivalence, classification, and invariants
3. Principle classes of asymptotic invariants
4. Statistical behavior of the orbits and introduction to ergodic theory
5. Smooth invariant measures and more examples
Part II. Local Analysis and Orbit Growth
6. Local hyperbolic theory and its applications
7. Transversality and genericity
8. Orbit growth arising from topology
9. Variational aspects of dynamics
Part III. Low-Dimensional Phenomena
10. Introduction: What is low dimensional dynamics
11. Homeomorphisms of the circle
12. Circle diffeomorphisms
13. Twist maps
14. Flows on surfaces and related dynamical systems
15. Continuous maps of the interval
16. Smooth maps of the interval
Part IV. Hyperbolic Dynamical Systems
17. Survey of examples
18. Topological properties of hyperbolic sets
19. Metric structure of hyperbolic sets
20. Equilibrium states and smooth invariant measures
Part V. Sopplement and Appendix
21. Dynamical systems with nonuniformly hyperbolic behavior Anatole Katok and Leonardo Mendoza.
Introduction
1. First examples
2. Equivalence, classification, and invariants
3. Principle classes of asymptotic invariants
4. Statistical behavior of the orbits and introduction to ergodic theory
5. Smooth invariant measures and more examples
Part II. Local Analysis and Orbit Growth
6. Local hyperbolic theory and its applications
7. Transversality and genericity
8. Orbit growth arising from topology
9. Variational aspects of dynamics
Part III. Low-Dimensional Phenomena
10. Introduction: What is low dimensional dynamics
11. Homeomorphisms of the circle
12. Circle diffeomorphisms
13. Twist maps
14. Flows on surfaces and related dynamical systems
15. Continuous maps of the interval
16. Smooth maps of the interval
Part IV. Hyperbolic Dynamical Systems
17. Survey of examples
18. Topological properties of hyperbolic sets
19. Metric structure of hyperbolic sets
20. Equilibrium states and smooth invariant measures
Part V. Sopplement and Appendix
21. Dynamical systems with nonuniformly hyperbolic behavior Anatole Katok and Leonardo Mendoza.
Part I. Examples and Fundamental Concepts
Introduction
1. First examples
2. Equivalence, classification, and invariants
3. Principle classes of asymptotic invariants
4. Statistical behavior of the orbits and introduction to ergodic theory
5. Smooth invariant measures and more examples
Part II. Local Analysis and Orbit Growth
6. Local hyperbolic theory and its applications
7. Transversality and genericity
8. Orbit growth arising from topology
9. Variational aspects of dynamics
Part III. Low-Dimensional Phenomena
10. Introduction: What is low dimensional dynamics
11. Homeomorphisms of the circle
12. Circle diffeomorphisms
13. Twist maps
14. Flows on surfaces and related dynamical systems
15. Continuous maps of the interval
16. Smooth maps of the interval
Part IV. Hyperbolic Dynamical Systems
17. Survey of examples
18. Topological properties of hyperbolic sets
19. Metric structure of hyperbolic sets
20. Equilibrium states and smooth invariant measures
Part V. Sopplement and Appendix
21. Dynamical systems with nonuniformly hyperbolic behavior Anatole Katok and Leonardo Mendoza.
Introduction
1. First examples
2. Equivalence, classification, and invariants
3. Principle classes of asymptotic invariants
4. Statistical behavior of the orbits and introduction to ergodic theory
5. Smooth invariant measures and more examples
Part II. Local Analysis and Orbit Growth
6. Local hyperbolic theory and its applications
7. Transversality and genericity
8. Orbit growth arising from topology
9. Variational aspects of dynamics
Part III. Low-Dimensional Phenomena
10. Introduction: What is low dimensional dynamics
11. Homeomorphisms of the circle
12. Circle diffeomorphisms
13. Twist maps
14. Flows on surfaces and related dynamical systems
15. Continuous maps of the interval
16. Smooth maps of the interval
Part IV. Hyperbolic Dynamical Systems
17. Survey of examples
18. Topological properties of hyperbolic sets
19. Metric structure of hyperbolic sets
20. Equilibrium states and smooth invariant measures
Part V. Sopplement and Appendix
21. Dynamical systems with nonuniformly hyperbolic behavior Anatole Katok and Leonardo Mendoza.