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＜E-Book＞
Flows on Compact Surfaces : The Weil–Hedlund–Anosov Program / by Nelson G. Markley, Mary Vanderschoot
(Birkhäuser Advanced Texts Basler Lehrbücher. ISSN:22964894)

Edition	1st ed. 2023.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2023
Language	English
Size	XII, 362 p. 73 illus : online resource
Authors	*Markley, Nelson G author Vanderschoot, Mary author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Topology FREE:Dynamical Systems FREE:Topology
Notes	1. Dynamical Systems -- 2. Flows and Covering Spaces -- 3. A Family of Examples -- 4. Local Sections -- 5. Flows on the Torus -- 6. Hyperbolic Geometry -- 7. Flows and Hyperbolic Geometry -- 8. Lifts and Limits -- 9. Recurrent Orbit Closures -- 10. Existence of Transitive Flows This textbook offers a uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing literature. The book can be used for a single semester course and/or for independent study. It demonstrates that covering spaces provide a suitable and modern setting for studying the structure of flows on compact surfaces. The thoughtful treatment of flows on surfaces uses topology (especially covering spaces), the classification of compact surfaces, and Euclidean and hyperbolic rigid motions to establish structural theorems that describe flows on surfaces generally. Several of the topics from dynamical systems that appear in this book (e.g., fixed points, invariant sets, orbits, almost periodic points) also appear in the many subareas of dynamical systems. The book successfully presents the reader with a self-contained introduction to dynamical systems or an expansion of one's existing knowledge of the field. Prerequisites include completion of a graduate-level topologycourse; a background in dynamical systems is not assumed HTTP:URL=https://doi.org/10.1007/978-3-031-32955-5

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