Giga-Periodic Orbits for Weakly Coupled Tent and Logistic Discretized Maps

Details Giga-Periodic Orbits for Weakly Coupled Tent and Logistic Discretized Maps Giga-Periodic Orbits for Weakly Coupled Tent and Logistic Discretized Maps

2007-06-02

arxiv.org/abs/0706.0254v1

Modern mathematical models, Methods and Algorithms for Real World Systems, A.H. Siddiqi, I.S. Duff and O. Christensen (Eds.),

Mathematics

Dynamical Systems

45 pages, 23 figures, Invited conference of International Conference on Industrial and Appl. Math., New Delhi, India, 4-6 Dec.

Scientific paper

We introduce new models of very weakly coupled logistic and tent maps for
which orbits of very long period are found. The length of these periods is far
greater than one billion. The property of these models relatively to the
distribution of the iterated points (invariant measure) is described.

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