Some explicit formulas of Lyapunov exponents for three-dimensional quadratic mappings

Zeraoulia Elhadj
Department of Mathematics, University of TĀ“ebessa, TĀ“ebessa 12002, Algeria

J. C. Sprott
Department of Physics, University of Wisconsin, Madison, WI 53706, USA

Received April 10, 2009; accepted April 28, 2009

ABSTRACT

This paper shows that there exist six different cases where it is possible to find rigorously a Lyapunov exponent for three-dimensional quadratic mappings. Some elementary examples are also given and discussed.

Ref: E. Zeraoulia and  J. C. Sprott, Frontiers of Physics in China 4, 549-555 (2009)

The complete paper is available in PDF format.

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