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

doi:10.1007/s11467-009-0060-4

PDF(333 KB)

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

Research articles

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

Zeraoulia ELHADJ¹,J. C. SPROTT²,

Author information +

History +

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

Cite this article

EndNote

Ris (Procite)

Bibtex

Download citation ▾

Zeraoulia ELHADJ, J. C. SPROTT,. Some explicit formulas of Lyapunov exponents for three-dimensional quadratic mappings. Front. Phys., 2009, 4(4): 549‒555 https://doi.org/10.1007/s11467-009-0060-4