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portada Bifurcation and Stability in Nonlinear Dynamical Systems
Type
Physical Book
Publisher
Language
English
Pages
411
Format
Hardcover
Dimensions
23.9x17x2 cm
Weight
0.73 kg.
ISBN13
9783030229092

Bifurcation and Stability in Nonlinear Dynamical Systems

Albert C. J. Luo (Author) · Springer · Hardcover

Bifurcation and Stability in Nonlinear Dynamical Systems - Luo, Albert C. J.

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Synopsis "Bifurcation and Stability in Nonlinear Dynamical Systems"

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.

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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.

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