Abstract
In this chapter, a theory for nonlinear discrete systems is reviewed. The local and global theory of stability and bifurcation for nonlinear discrete systems is presented. The stability switching and bifurcation on specific eigenvectors of the linearized system at fixed points under a specific period are discussed. The higher-order singularity and stability for nonlinear discrete systems on the specific eigenvectors are also presented.
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References
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© 2015 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
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Luo, A.C.J. (2015). Nonlinear Discrete Systems. In: Discretization and Implicit Mapping Dynamics. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47275-0_2
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DOI: https://doi.org/10.1007/978-3-662-47275-0_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-47274-3
Online ISBN: 978-3-662-47275-0
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