FREQUENCY-DOMAIN APPROACH TO HOPF BIFURCATION ANALYSIS: CONTINUOUS TIME-DELAYED SYSTEMS
Language: English
Published by World Scientific Publishing Co Pte Ltd, SG, 2019
Series: Book 15 of 17 - World Scientific Series On Nonlinear Science Series A
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
£ 170.78
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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.…
Seller Inventory # LU-9789811205460
- Title
- FREQUENCY-DOMAIN APPROACH TO HOPF BIFURCATION ANALYSIS: CONTINUOUS TIME-DELAYED SYSTEMS
- Author
- Guanrong Chen, Jorge Luis Moiola, Franco Sebastián Gentile
- Publisher
- World Scientific Publishing Co Pte Ltd, SG
- Publication year
- 2019
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 9811205469
- ISBN 13
- 9789811205460
- Series
- Book 15 of 17: 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.
"Synopsis" may belong to another edition of this title.
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London, United Kingdom
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