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Applied symbolic dynamics and chaos /

Hao, Bailin,

Applied symbolic dynamics and chaos /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Applied symbolic dynamics and chaos /Bai-Lin Hao, Wei-Mou Zheng.
作者:	Hao, Bailin,
其他作者:	Zheng, Wei-Mou,
面頁冊數:	xviii, 500 pages :illustrations ;24 cm.
標題:	Symbolic dynamics.
ISBN:	9789813236424

Applied symbolic dynamics and chaos /
Hao, Bailin,

Applied symbolic dynamics and chaos /Bai-Lin Hao, Wei-Mou Zheng. - Second edition. - xviii, 500 pages :illustrations ;24 cm. - Peking University-World Scientific advanced physics series,vol. 42382-5960;. - Peking University-World Scientific advance physics series ;v. 3..

Includes bibliographical references (pages 477-493) and index.

Introduction -- Symbolic dynamics of unimodal maps -- Maps with multiple critical points -- Symbolic dynamics of circle maps -- Symbolic dynamics of two-dimensional maps -- Application to ordinary differential equations -- Counting the number of periodic orbits -- Symbolic dynamics and grammatical complexity -- Symbolic dynamics and knot theory.

"Symbolic dynamics is a coarse-grained description of dynamics. It has been a long-studied chapter in the mathematical theory of dynamical systems, but its abstract formulation has kept many practitioners of physical sciences and engineering from appreciating its simplicity, beauty, and power. At the same time, symbolic dynamics provides almost the only rigorous way to understand global systematics of periodic and, especially, chaotic motion in dynamical systems. In a sense, everyone who enters the field of chaotic dynamics should begin with the study of symbolic dynamics. However, this has not been an easy task for non-mathematicians. On one hand, the method of symbolic dynamics has been developed to such an extent that it may well become a practical tool in studying chaotic dynamics, both on computers and in laboratories. On the other hand, most of the existing literature on symbolic dynamics is mathematics-oriented. This book is an attempt at partially filling up this apparent gap by emphasizing the applied aspects of symbolic dynamics without mathematical rigor"--Page 4 of cover.

ISBN: 9789813236424$168.00

Standard Tech. Report. No.: cam 2200397 i 4500

LCCN: 2018288328

Nat. Bib. No.: GBB877081bnb

Nat. Bib. Agency Control No.: 018846470UkSubjects--Topical Terms:

468098
Symbolic dynamics.

LC Class. No.: QA614.85 / .H36 2018

Dewey Class. No.: 514.74

Applied symbolic dynamics and chaos /
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520 $a "Symbolic dynamics is a coarse-grained description of dynamics. It has been a long-studied chapter in the mathematical theory of dynamical systems, but its abstract formulation has kept many practitioners of physical sciences and engineering from appreciating its simplicity, beauty, and power. At the same time, symbolic dynamics provides almost the only rigorous way to understand global systematics of periodic and, especially, chaotic motion in dynamical systems. In a sense, everyone who enters the field of chaotic dynamics should begin with the study of symbolic dynamics. However, this has not been an easy task for non-mathematicians. On one hand, the method of symbolic dynamics has been developed to such an extent that it may well become a practical tool in studying chaotic dynamics, both on computers and in laboratories. On the other hand, most of the existing literature on symbolic dynamics is mathematics-oriented. This book is an attempt at partially filling up this apparent gap by emphasizing the applied aspects of symbolic dynamics without mathematical rigor"--Page 4 of cover.
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