Bifurcation and stability in nonlinear dynamical systems / Albert C.J. Luo.
2019
QA372 .L86 2019
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Title
Bifurcation and stability in nonlinear dynamical systems / Albert C.J. Luo.
Author
Luo, Albert C. J., author.
ISBN
9783030229108 (electronic book)
3030229106 (electronic book)
3030229092
9783030229092
3030229106 (electronic book)
3030229092
9783030229092
Published
Cham, Switzerland : Springer, [2019]
Language
English
Description
1 online resource.
Call Number
QA372 .L86 2019
Dewey Decimal Classification
515.352
Summary
This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. For instance, infinite-equilibrium dynamical systems have higher-order singularity, which dramatically changes dynamical behaviors and possesses the similar characteristics of discontinuous dynamical systems. The stability and bifurcation of equilibriums on the specific eigenvector are presented, and the spiral stability and Hopf bifurcation of equilibriums in nonlinear systems are presented through the Fourier series transformation. The bifurcation and stability of higher-order singularity equilibriums are presented through the (2m)th and (2m+1)th -degree polynomial systems. From local analysis, dynamics of infinite-equilibrium systems is discussed. The research on infinite-equilibrium systems will bring us to the new era of dynamical systems and control.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Description based on online resource; title from digital title page (viewed on February 17, 2020).
Series
Nonlinear systems and complexity ; v. 28.
Available in Other Form
Print version: 9783030229092
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