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Local Stability and Bifurcations

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Bifurcation and Stability in Nonlinear Discrete Systems

Part of the book series: Nonlinear Physical Science ((NPS))

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Abstract

The local stability theory of fixed-points in nonlinear discrete systems is presented.

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References

  • Guckenhiemer J, Holmes P (1990) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer-Verlag, New-York

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  • Luo ACJ (2011) Regularity and complexity in dynamical systems. Springer, New York

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  • Nitecki Z (1971) Differentiable dynamics: an introduction to the orbit structures of diffeomorphisms. MIT Press, Cambridge, MA

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Correspondence to Albert C. J. Luo .

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Luo, A.C.J. (2020). Local Stability and Bifurcations. In: Bifurcation and Stability in Nonlinear Discrete Systems. Nonlinear Physical Science. Springer, Singapore. https://doi.org/10.1007/978-981-15-5212-0_1

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