Chaos pp 181-206 | Cite as

Feigenbaum Scenario

  • H. J. Korsch
  • H.-J. Jodl
Chapter

Abstract

In this chapter, we will study a very important class of dynamical systems, which is almost ideally suited as an introduction to the basic characteristics of nonlinear dynamics, namely discrete mappings. An example of such a discrete system is provided by a stroboscopic map, where a system is only observed at well-defined time steps t i . In some situations, the discrete mapping arises directly from the nature of the system, as for instance in population dynamics or kicked or billiard-type systems. In other cases, one uses a discrete approximation to the true continuous evolution.

Keywords

Lyapunov Exponent Bifurcation Diagram Bifurcation Point Strange Attractor Period Doubling 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • H. J. Korsch
    • 1
  • H.-J. Jodl
    • 1
  1. 1.Fachbereich PhysikUniversität KaiserslauternKaiserslauternGermany

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