Bifurcation and Stability in Nonlinear Dynamical Systems

Bifurcation and Stability in Nonlinear Dynamical Systems
Author :
Publisher : Springer Nature
Total Pages : 418
Release :
ISBN-10 : 9783030229108
ISBN-13 : 3030229106
Rating : 4/5 (106 Downloads)

Book Synopsis Bifurcation and Stability in Nonlinear Dynamical Systems by : Albert C. J. Luo

Download or read book Bifurcation and Stability in Nonlinear Dynamical Systems written by Albert C. J. Luo and published by Springer Nature. This book was released on 2020-01-30 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Bifurcation and Stability in Nonlinear Dynamical Systems Related Books

Bifurcation and Stability in Nonlinear Dynamical Systems
Language: en
Pages: 418
Authors: Albert C. J. Luo
Categories: Mathematics
Type: BOOK - Published: 2020-01-30 - Publisher: Springer Nature

GET EBOOK

This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until
Nonlinear Stability and Bifurcation Theory
Language: en
Pages: 419
Authors: Hans Troger
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

Every student in engineering or in other fields of the applied sciences who has passed through his curriculum knows that the treatment of nonlin ear problems ha
Methods In Equivariant Bifurcations And Dynamical Systems
Language: en
Pages: 422
Authors: Pascal Chossat
Categories: Science
Type: BOOK - Published: 2000-02-28 - Publisher: World Scientific Publishing Company

GET EBOOK

This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed
Dynamical Systems, Bifurcation Analysis and Applications
Language: en
Pages: 239
Authors: Mohd Hafiz Mohd
Categories: Mathematics
Type: BOOK - Published: 2019-10-11 - Publisher: Springer Nature

GET EBOOK

This book is the result of ​Southeast Asian Mathematical Society (SEAMS) School 2018 on Dynamical Systems and Bifurcation Analysis (DySBA). It addresses the l