Bifurcation and Stability in Nonlinear Dynamical Systems is popular PDF and ePub book, written by Albert C. J. Luo in 2020-01-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Bifurcation and Stability in Nonlinear Dynamical Systems can be Read Online from any device for your convenience.
Bifurcation and Stability in Nonlinear Dynamical Systems Book PDF Summary
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.
Detail Book of Bifurcation and Stability in Nonlinear Dynamical Systems PDF
- Author : Albert C. J. Luo
- Release : 30 January 2020
- Publisher : Springer Nature
- ISBN : 9783030229108
- Genre : Mathematics
- Total Page : 418 pages
- Language : English
- PDF File Size : 8,8 Mb
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