Dynamical Systems

70 posts

Work-in-progress lecture notes for a two-semester course on Dynamical Systems. Topics covered include: topological dynamics, chaos theory, ergodic theory, hyperbolic and complex dynamics.

14. The Sharkovsky Theorem

Published a year ago

Dynamical Systems

13. Turbulent Dynamical Systems

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Dynamical Systems

Problem Sheet F

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Dynamical Systems

12. Chaos Versus Positive Entropy

Published a year ago

Dynamical Systems

11. Piecewise Monotone Dynamical Systems

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Dynamical Systems

Problem Sheet E

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Dynamical Systems

10. Topological Entropy via Open Covers

Published a year ago

Dynamical Systems

9. Expansive Dynamical Systems

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Dynamical Systems

Problem Sheet D

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Dynamical Systems

8. Hyperbolic Toral Automorphisms

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Dynamical Systems

7. Topological Entropy

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Dynamical Systems

Problem Sheet C

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Dynamical Systems

6. Furstenberg's Theorem

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Dynamical Systems

5. Mixing and Weakly Mixing Dynamical Systems

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Dynamical Systems

Problem Sheet B

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Dynamical Systems

4. What Is Chaos?

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Dynamical Systems

3. The Non-Wandering Set and Its Friends

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Dynamical Systems

2. Transitivity and Minimality

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Dynamical Systems

Problem Sheet A

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Dynamical Systems

1. The Definition of a Dynamical System

Published a year ago

Dynamical Systems

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Dynamical Systems Algebraic Topology Differential Geometry Student Theses Communication in Mathematics Gauge Theory Learning LaTeX Other Notes