東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

FindBook

Google Book

Amazon

博客來

Frequency-domain approach to Hopf bifurcation analysis = continuous time-delayed systems /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Frequency-domain approach to Hopf bifurcation analysis/ Franco Sebastián Gentile, Jorge Luis Moiola, Guanrong Chen.
其他題名:	continuous time-delayed systems /
作者:	Gentile, Franco Sebastián.
其他作者:	Moiola, Jorge L.
出版者:	Singapore ;World Scientific, : c2020.,
面頁冊數:	1 online resource (xiv, 378 p.) :ill.
內容註:	Stability and bifurcation analysis -- The Hopf bifurcation theorem in the frequency domain -- Analysis of static and multiple bifurcations -- Degenerate Hopf bifurcations -- Higher-order Hopf bifurcation formulas -- Hopf bifurcation in continuous-time systems with discrete-time delays -- Hopf bifurcation in continuous-time systems with distributed time delays -- Degenerate bifurcations in time-delayed systems.
標題:	Bifurcation theory. -
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/11418#t=toc
ISBN:	9789811205477

Frequency-domain approach to Hopf bifurcation analysis = continuous time-delayed systems /
Gentile, Franco Sebastián.

Frequency-domain approach to Hopf bifurcation analysiscontinuous time-delayed systems /[electronic resource] :Franco Sebastián Gentile, Jorge Luis Moiola, Guanrong Chen. - 1st ed. - Singapore ;World Scientific,c2020. - 1 online resource (xiv, 378 p.) :ill. - World Scientific series on nonlinear science. Series A, Monographs and treatises ;v. 96. - World Scientific series on nonlinear science.Series A,Monographs and treatises ;v. 96..

Includes bibliographical references and indexes.

Stability and bifurcation analysis -- The Hopf bifurcation theorem in the frequency domain -- Analysis of static and multiple bifurcations -- Degenerate Hopf bifurcations -- Higher-order Hopf bifurcation formulas -- Hopf bifurcation in continuous-time systems with discrete-time delays -- Hopf bifurcation in continuous-time systems with distributed time delays -- Degenerate bifurcations in time-delayed systems.

"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."--

ISBN: 9789811205477Subjects--Topical Terms:

544229
Bifurcation theory.

LC Class. No.: QA380 / .G46 2020

Dewey Class. No.: 515/.35

Frequency-domain approach to Hopf bifurcation analysis = continuous time-delayed systems /
LDR:02701cmm a2200301 a 4500 001 2373189
005 20240923072503.0
006 m o d
007 cr cnu---unuuu
008 241205s2020 si a ob 001 0 eng d
020 $a 9789811205477 $q (electronic bk.)
020 $a 9811205477 $q (electronic bk.)
020 $z 9789811205460 $q (hardcover)
020 $z 9811205469 $q (hardcover)
035 $a 991091255449705816
040 $a YDX $b eng $c YDX $d YDXIT $d OCLCF $d OSU $d UKAHL $d OCLCO $d OCLCQ $d OCLCO $d OCLCQ $d OCLCO $d OCLCL
041 0 $a eng
050 4 $a QA380 $b .G46 2020
082 0 4 $a 515/.35 $2 23
100 1 $a Gentile, Franco Sebastián. $3 3720606
245 1 0 $a Frequency-domain approach to Hopf bifurcation analysis $h [electronic resource] : $b continuous time-delayed systems / $c Franco Sebastián Gentile, Jorge Luis Moiola, Guanrong Chen.
250 $a 1st ed.
260 $a Singapore ; $a Hackensack, NJ : $b World Scientific, $c c2020.
300 $a 1 online resource (xiv, 378 p.) : $b ill.
490 1 $a World Scientific series on nonlinear science. Series A, Monographs and treatises ; $v v. 96
504 $a Includes bibliographical references and indexes.
505 0 $a Stability and bifurcation analysis -- The Hopf bifurcation theorem in the frequency domain -- Analysis of static and multiple bifurcations -- Degenerate Hopf bifurcations -- Higher-order Hopf bifurcation formulas -- Hopf bifurcation in continuous-time systems with discrete-time delays -- Hopf bifurcation in continuous-time systems with distributed time delays -- Degenerate bifurcations in time-delayed systems.
520 $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."-- $c Provided by publisher
588 $a Print version record.
650 0 $a Bifurcation theory. $3 544229
650 0 $a Differential equations, Nonlinear $x Numerical solutions. $3 596338
700 1 $a Moiola, Jorge L. $3 705163
700 1 $a Chen, G. $q (Guanrong) $3 705162
830 0 $a World Scientific series on nonlinear science. $n Series A, $p Monographs and treatises ; $v v. 96. $3 3720607
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/11418#t=toc