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

Zeraoulia Elhadj
Department of Mathematics, University of T´ebessa, T´ebessa 12002, Algeria

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

Received April 10, 2009; accepted April 28, 2009


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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