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A Route to Chaos

  • Wolfgang Metzler
Conference paper
Part of the Advances in Simulation book series (ADVS.SIMULATION, volume 1)

Abstract

The route to chaos of the coupled logistic map is studied. We observe a flip bifurcation from a stable fixed point to a stable period-2 orbit which is followed by a Hopf bifurcation, quasiperiodic behaviour and periodic orbits. At the end of the route the iteration scheme tends to a fascinating strange attractor looking like the Eiffel tower.

Keywords

Hopf Bifurcation Strange Attractor Iteration Scheme Characteristic Exponent Stable Fixed Point 
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

© Akademie-Verlag Berlin 1988

Authors and Affiliations

  • Wolfgang Metzler
    • 1
  1. 1.Department of MathematicsUniversity of KasselKasselGermany

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