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Fractal Boundaries

In: Chaos in Discrete Dynamical Systems

Author

Listed:
  • Ralph H. Abraham

    (University of California Santa Cruz)

  • Laura Gardini

    (Universitá di Urbino, Instituto di Scienze Economiche)

  • Christian Mira

    (Institut National des Sciences Appliquees de Toulouse, Dept. of Control Engineering)

Abstract

Fractal boundaries are very important in the applications of discrete dynamics. First we describe in greater detail the basic features of contact bifurcations, which we have encountered already in Chapter 5, with a sequence of hand drawings. Then we will go on to an exemplary bifurcation sequence with computer graphics, in which the fractal implications of these contact events for the boundaries become clear.

Suggested Citation

  • Ralph H. Abraham & Laura Gardini & Christian Mira, 1997. "Fractal Boundaries," Springer Books, in: Chaos in Discrete Dynamical Systems, chapter 0, pages 85-115, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-1936-1_6
    DOI: 10.1007/978-1-4612-1936-1_6
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