One-dimensional dynamical systems : an example-led approach

書誌事項

One-dimensional dynamical systems : an example-led approach

Ana Rodrigues

(A Chapman & Hall book)

CRC Press, 2022

  • : pbk

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注記

Includes bibliographical references (p. 107-109) and index

内容説明・目次

内容説明

* Example-driven approach * Suitable as supplementary reading for a graduate or advanced undergraduate course in dynamical systems

目次

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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