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Hopf Bifurcation Analysis: A Frequency Domain Approach
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Bibliographic Detail
Publisher World Scientific Pub Co Inc
Publication date June 1, 1996
Pages 326
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9789810226282
ISBN-10 9810226284
Dimensions 0.75 by 6.50 by 9 in.
Weight 1.35 lbs.
Published in Other
Original list price $83.00
Summaries and Reviews
Amazon.com description: Product Description: This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses. Besides showing that the time and frequency domain approaches are in fact equivalent, the fact that many significant results and computational formulas obtained in the studies of regular and degenerate Hopf bifurcations from the time domain approach can be translated and reformulated into the corresponding frequency domain setting, and be reconfirmed and rediscovered by using the frequency domain methods, is also explained. The description of how the frequency domain approach can be used to obtain several types of standard bifurcation conditions for general nonlinear dynamical systems is given as well as is demonstrated a very rich pictorial gallery of local bifurcation diagrams for nonlinear systems under simultaneous variations of several system parameters. In conjunction with this graphical analysis of local bifurcation diagrams, the defining and nondegeneracy conditions for several degenerate Hopf bifurcations is presented. With a great deal of algebraic computation, some higher-order harmonic balance approximation formulas are derived, for analyzing the dynamical behavior in small neighborhoods of certain types of degenerate Hopf bifurcations that involve multiple limit cycles and multiple limit points of periodic solutions. In addition, applications in chemical, mechanical and electrical engineering as well as in biology are discussed. This book is designed and written in a style of research monographs rather than classroom textbooks, so that the most recent contributions to the field can be included with references.

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Hardcover
Book cover for 9789810226282
 
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from World Scientific Pub Co Inc (June 1, 1996)
9789810226282 | details & prices | 326 pages | 6.50 × 9.00 × 0.75 in. | 1.35 lbs | List price $83.00
About: This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses.

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