Bifurcation and Stability in Nonlinear Dyn...

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Beschreibung

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.

Über den Autor

Dr. Albert C. J. Luo is Distinguished Research Professor in the Department of Mechanical Engineering, Southern Illinois University Edwardsville, Edwardsville, IL.

Zusammenfassung

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

Inhaltsverzeichnis

Stability of equilibriums.- Bifurcation of equilibriums.- Low-dimensional dynamical system.- Equilibrium and higher-singularity.- Low-degree polynomial systems.- (2m)th-degree polynomial systems.- (2m+1)th-degree polynomial systems.- Infinite-equilibrium systems.

Details

Erscheinungsjahr:	2020
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xi 411 S. 14 s/w Illustr. 64 farbige Illustr. 411 p. 78 illus. 64 illus. in color.
ISBN-13:	9783030229092
ISBN-10:	3030229092
Sprache:	Englisch
Einband:	Gebunden
Autor:	Luo, Albert C. J.
Auflage:	1st edition 2019
Hersteller:	Springer Nature Switzerland Springer International Publishing Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 27 mm
Von/Mit:	Albert C. J. Luo
Erscheinungsdatum:	31.01.2020
Gewicht:	0,876 kg

Artikel-ID: 116615611