Abstract
In this chapter, the concepts of nonlinear dynamical systems will be introduced. The local theory of nonlinear dynamical systems will be briefly discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at equilibrium will be discussed. The higher order singularity and stability for nonlinear systems on the specific eigenvectors will be developed.
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© 2017 Springer Nature Singapore Pte Ltd. and Higher Education Press, Beijing
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Luo, A.C.J., Yu, B. (2017). Nonlinear Dynamical Systems. In: Galloping Instability to Chaos of Cables. Nonlinear Physical Science. Springer, Singapore. https://doi.org/10.1007/978-981-10-5242-2_2
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DOI: https://doi.org/10.1007/978-981-10-5242-2_2
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