Bifurcation and Stability in Nonlinear Dynamical Systems

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Éditeur :

Springer


Collection :

Nonlinear Systems and Complexity

Paru le : 2020-01-30

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Description
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. 


Presents an efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums;Discusses dynamics of infinite-equilibrium systems;Demonstrates higher-order singularity.
Pages
411 pages
Collection
Nonlinear Systems and Complexity
Parution
2020-01-30
Marque
Springer
EAN papier
9783030229092
EAN PDF
9783030229108

Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
41
Taille du fichier
17664 Ko
Prix
147,69 €
EAN EPUB
9783030229108

Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
41
Taille du fichier
56197 Ko
Prix
147,69 €