Bifurcation and Stability in Nonlinear Dynamical Systems

Name: Bifurcation and Stability in Nonlinear Dynamical Systems
Brand: Springer
SKU: 9783030229122
Price: 10900.0 INR
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by Albert C. J. Luo

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ISBN13: 9783030229122
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: August 26, 2021
Pages: 411
Original Price: EUR 149.99
Language: English
Edition: 2019
Item Weight: 714 grams
BISAC Subject(s): Differential Equations / General, Mechanical, and Chaotic Behavior in Systems

About The Book

From the Back Cover
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.

About The Author

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

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