Titlebook: Bifurcation and Stability in Nonlinear Dynamical Systems; Albert C. J. Luo Book 2019 Springer Nature Switzerland AG 2019 nonlinear dynamic

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Bifurcations of Equilibrium,n of an equilibrium on a specific eigenvector plane is presented. Based on the Fourier series base, the transformation for the spiral stability is introduced for the Hopf bifurcation of equilibriums. The Hopf bifurcation of equilibriums in the second-order nonlinear dynamical systems is discussed fr

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Equilibrium Stability in 1-Dimensional Systems, systems is given first, and infinite-equilibrium systems are defined. The 1-dimensional dynamical systems with single equilibrium are discussed first. The 1-dimensional dynamical systems with two and three equilibriums are discussed. Simple equilibriums and higher order equilibriums in 1-dimensiona

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Low-Degree Polynomial Systems,ions of simple and higher order equilibriums are discussed, and such bifurcations of equilibriums are not only for simple equilibriums but also for higher order equilibriums. The third-order sink and source bifurcations for simple equilibriums are presented. The third-order sink and source switching

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Infinite-Equilibrium Systems,al systems is developed. The generalized normal forms of nonlinear dynamical systems at equilibriums are presented for a better understanding of singularity in nonlinear dynamical systems. The dynamics of infinite-equilibrium dynamical systems is discussed for the complexity and singularity of nonli

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Bifurcation and Stability in Nonlinear Dynamical Systems

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Book 2019l 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 equili

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