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portada Frequency-Domain Approach to Hopf Bifurcation Analysis: Continuous Time-Delayed Systems: 96 (World Scientific Series on Nonlinear Science Series a)
Type
Physical Book
Publisher
Author
Year
2019
Language
English
Pages
392
Format
Hardcover
ISBN13
9789811205460
Categories

Frequency-Domain Approach to Hopf Bifurcation Analysis: Continuous Time-Delayed Systems: 96 (World Scientific Series on Nonlinear Science Series a)

Franco SebastiÁN Gentile; Jorge Luis Moiola; Guanrong Chen (Author) · Wspc · Hardcover

Frequency-Domain Approach to Hopf Bifurcation Analysis: Continuous Time-Delayed Systems: 96 (World Scientific Series on Nonlinear Science Series a) - Franco SebastiÁN Gentile; Jorge Luis Moiola; Guanrong Chen

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Synopsis "Frequency-Domain Approach to Hopf Bifurcation Analysis: Continuous Time-Delayed Systems: 96 (World Scientific Series on Nonlinear Science Series a) "

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.The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed.

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