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00000cam a22000007a 4500 |
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on1390876057 |
| 003 |
OCoLC |
| 005 |
20241006213017.0 |
| 006 |
m o d |
| 007 |
cr un|---aucuu |
| 008 |
230724s2023 sz ob 001 0 eng d |
| 040 |
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|a YDX
|b eng
|c YDX
|d GW5XE
|d EBLCP
|d OCLCQ
|d OCLCO
|d YDX
|d OCLCF
|d OCLCO
|d OCLCL
|d SFB
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| 019 |
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|a 1390919328
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| 020 |
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|a 9783031329555
|q (electronic bk.)
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| 020 |
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|a 3031329554
|q (electronic bk.)
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| 020 |
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|z 3031329546
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| 020 |
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|z 9783031329548
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| 024 |
7 |
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|a 10.1007/978-3-031-32955-5
|2 doi
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| 035 |
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|a (OCoLC)1390876057
|z (OCoLC)1390919328
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| 050 |
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4 |
|a QA911
|b .M37 2023
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| 049 |
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|a HCDD
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| 100 |
1 |
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|a Markley, Nelson Groh,
|d 1940-
|1 https://id.oclc.org/worldcat/entity/E39PBJtMtyDbvq4qwrx79TTT73
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| 245 |
1 |
0 |
|a Flows on compact surfaces :
|b the Weil-Hedlund-Anosov program /
|c Nelson G. Markley, Mary Vanderschoot.
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| 260 |
|
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|a Cham :
|b Birkhäuser,
|c 2023.
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| 300 |
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|a 1 online resource
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| 490 |
1 |
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|a Birkhäuser advanced texts Basler Lehrbücher
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| 505 |
0 |
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|a Intro -- Preface -- Contents -- 1 Dynamical Systems -- 1.1 Continuous Group Actions -- 1.2 Flows and Cascades -- 1.3 Beck's Theorem -- 2 Flows and Covering Spaces -- 2.1 Topological Manifolds -- 2.2 Lifting Flows -- 2.3 Compact Connected Surfaces -- 3 A Family of Examples -- 3.1 Suspension Flows -- 3.2 Cascades on the Circle -- 3.3 Denjoy Flows on the Torus -- 4 Local Sections -- 4.1 Bebutoff's Theorem -- 4.2 Whitney's Theorem -- 4.3 Classical Applications -- 5 Flows on the Torus -- 5.1 Weil's Theorem -- 5.2 Control Curves -- 5.3 Geometry of Recurrent Orbits -- 6 Hyperbolic Geometry
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| 505 |
8 |
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|a 6.1 Poincaré Disk Model -- 6.2 Properties of Rigid Motions -- 6.3 Groups of Rigid Motions -- 7 Flows and Hyperbolic Geometry -- 7.1 Fuchsian Groups -- 7.2 Constructing Compact Dirichlet Regions -- 7.3 Lifts of Closed Curves Again -- 8 Lifts and Limits -- 8.1 The Anosov Dichotomy -- 8.2 Winding -- 8.3 Omega Limit Points at Infinity -- 8.4 Geometry of Almost Periodic Orbits -- 9 Recurrent Orbit Closures -- 9.1 Covering Space Criteria -- 9.2 Maier's Theorems -- 9.3 Counting Recurrent Orbit Closures -- 10 Existence of Transitive Flows -- 10.1 Constructing Rectangular Surfaces
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| 505 |
8 |
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|a 10.2 Constructing Flows from Orbits -- 10.3 Transitivity -- 10.4 Locally Circular Cascades and Flows -- Bibliography -- Index of Special Symbols -- Index
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| 520 |
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|a 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 topology course; a background in dynamical systems is not assumed.
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| 504 |
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|a Includes bibliographical references and indexes.
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| 588 |
0 |
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|a Online resource; title from PDF title page (SpringerLink, viewed July 26, 2023).
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| 650 |
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0 |
|a Fluid dynamics.
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| 650 |
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0 |
|a Surfaces.
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| 650 |
|
7 |
|a Fluid dynamics
|2 fast
|
| 650 |
|
7 |
|a Surfaces
|2 fast
|
| 650 |
|
7 |
|a Dinàmica de fluids.
|2 thub
|
| 650 |
|
7 |
|a Superfícies (Matemàtica)
|2 thub
|
| 655 |
|
7 |
|a Llibres electrònics.
|2 thub
|
| 700 |
1 |
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|a Vanderschoot, Mary.
|
| 776 |
0 |
8 |
|c Original
|z 3031329546
|z 9783031329548
|w (OCoLC)1375542564
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| 830 |
|
0 |
|a Birkhäuser advanced texts.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-031-32955-5
|y Click for online access
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| 903 |
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|a SPRING-ALL2023
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| 994 |
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|a 92
|b HCD
|