Bi-Hamiltonian Structures of Chaotic Dynamical Systems in 3D

Published 21 Nov 2015 in math-ph, math.DS, and math.MP | (1511.06899v1)

Abstract: We study Poisson structures of dynamical systems with three degrees of freedom which are known for their chaotic properties, namely L\"u, modified L\"u, Chen, $T$ and Qi systems. We show that all these flows admit bi-Hamiltonian structures depending on the values of their parameters.

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