One-dimensional dynamical systems : an example-led approach
Author(s)
Bibliographic Information
One-dimensional dynamical systems : an example-led approach
（A Chapman & Hall book）
CRC Press, 2022
- : pbk
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Note
Includes bibliographical references (p. 107-109) and index
Description and Table of Contents
Description
* Example-driven approach
* Suitable as supplementary reading for a graduate or advanced undergraduate course in dynamical systems
Table of Contents
1. Introduction. 2. Rotation Numbers. 2.1. Arnold Tongues for Double Standard Maps. 2.2 Arnold Tongues for -Standard Maps. 3. Topological conjugacy. 4. Critical points. 5. Topological theory of Chaos. 5.1. Topological Entropy. 5.2. Schwarzian Derivative. 6. Symbolic Dynamics. 6.1. Kneading Sequences for Double Standard Maps. 6.2 Kneading Sequences for -Standard Maps. 7. Tongues. 7.1. Length of Tongues. 7.2. Boundary of The Tongues. 7.3. Tip of the Tongues. 7.4. Connectedness of Tongues. 7.5. Arnold Tongues of Higher Periods for -Standard Maps. Bibliography.
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