Bifurcations
Subtitle: Sights, Sounds, and Mathematics
By: by Takashi Matsumoto, Motomasa Komuro, Hiroshi Kokubu, Ryuji Tokunaga
Contributors: Komuro, Motomasa; Kokubu, Hiroshi; Tokunaga, Ryuji
Publisher: Springer Japan
Published: 1993
Place of publication: Tokyo
Language: eng
Format: [electronic resource] :
Number of pages: 468
ISBN-13: 9784431682455; 9784431682431
Subjects: Engineering; Computer engineering
Description: This book consists of three chapters. Chapter 1 presents concrete experimental results on bifurcations/chaos, performed on electronic circuits together with theoretical analysis. Chapter 2 presents a rigorous systematic treatment of bifurcations of piecewise-linear vector fields. Chapter 3 provides the reader with fundamental concepts, as well as ideas of bifurcations. Both Chapters 2 and 3 provide the theoretical background of the experiments presented in Chapter 1. Many color figures are also provided to facilitate the reader's understanding of the materials. Since the circuits in the book are simple, the amateur or novice reader can also build them, and observe and listen to the bifurcations/chaos, since the circuits are designed to behave within audible frequencies.
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Table of contents: title: Contents: Bifurcations Observed from Electronic Circuits - presents concrete experimental results on bifurcations/chaos performed on electronic circuits together with theoretical analysis; title: Continuous Piecewise-Linear Vector Fields - presents a rigorous systematic treatment of piecewise-linear vector fields; title: Fundamental Concepts in Bifurcations - provides the reader with fundamental concepts as well as ideas of bifurcations.