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Frequency-Domain Approach to Hopf Bifurcation Analysis

Frequency-Domain Approach to Hopf Bifurcation Analysis

Hardcover

Series: Ws Nonlinear Science Series a, Book 96

Technology & EngineeringGeneral Science

ISBN10: 9811205469
ISBN13: 9789811205460
Publisher: World Scientific Publishing Company
Published: Oct 18 2019
Pages: 392
Weight: 1.53
Height: 0.88 Width: 6.00 Depth: 9.00
Language: English

This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations.

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