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Nonlinear Discrete Dynamical Systems

In: Dynamical Systems with Applications using Python

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  • Stephen Lynch

    (Manchester Metropolitan University)

Abstract

Most of the dynamics displayed by highly complicated nonlinear systems also appear for simple nonlinear systems. The reader is first introduced to the tent function, which is composed of two straight lines. The graphical method of iteration is introduced using this simple function since the constructions may be easily carried out with graph paper, rule, and pencil. The reader is also shown how to graph composite functions. The system can display periodicity, mixing, and sensitivity to initial conditions, the essential ingredients for chaos.

Suggested Citation

  • Stephen Lynch, 2018. "Nonlinear Discrete Dynamical Systems," Springer Books, in: Dynamical Systems with Applications using Python, chapter 0, pages 347-384, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-78145-7_14
    DOI: 10.1007/978-3-319-78145-7_14
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