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

doi:10.1007/s11467-009-0060-4

Front. Phys. ›› 2009, Vol. 4 ›› Issue (4) : 549 -555. DOI: 10.1007/s11467-009-0060-4

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

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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.

Keywords

three-dimensional quadratic map / chaos / Lyapunov exponent / rigorous formula

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null. Some explicit formulas of Lyapunov exponents for three-dimensional quadratic mappings. Front. Phys., 2009, 4(4): 549-555 DOI:10.1007/s11467-009-0060-4