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Nonlinear Difference Equations

In: Mathematical Methods in Dynamic Economics

Author

Listed:
  • András Simonovits

    (Hungarian Academy of Sciences)

Abstract

In this Chapter we shall outline those elements of the theory of timeinvariant nonlinear difference equations which will be used in the book. In Section 3.1 we shall investigate the existence and stability of fixed points, extending theorems for linear systems to nonlinear ones. In Section 3.2 we shall study limit cycles. In Section 3.3 the so-called chaotic dynamics will be analyzed where the paths depend sensitively on the initial states. Useful information can be found in Guckenheimer (1979), Guckenheimer and Holmes (1986),Grandmont (1986) and Devaney (1989).

Suggested Citation

  • András Simonovits, 2000. "Nonlinear Difference Equations," Palgrave Macmillan Books, in: Mathematical Methods in Dynamic Economics, chapter 3, pages 68-88, Palgrave Macmillan.
    • Handle: RePEc:pal:palchp:978-0-230-51353-2_4
    DOI: 10.1057/9780230513532_4
    as

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