Bi-Hamiltonian Structures of 3D Chaotic Dynamical Systems

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World Scientific Publ Co Pte Ltd

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We study Hamiltonian structures of dynamical systems with three degrees of freedom which are known for their chaotic properties, namely Lu, modified Lu, 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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Anahtar Kelimeler

Poisson structures, Jacobi's last multiplier, chaotic three-dimensional systems, bi-Hamiltonian structures, Nambu-Poisson bracket

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International Journal of Bifurcation and Chaos

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26

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13

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Onay

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