Bi-Hamiltonian Structures of 3D Chaotic Dynamical Systems

DOI10.1142/S0218127416502151zbMath1354.34073arXiv1511.06899OpenAlexW3101649441MaRDI QIDQ2957297

Anindya Ghose Choudhury, Partha Guha, Oğul Esen

Publication date: 26 January 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06899

zbMATH Keywords

Poisson structuresbi-Hamiltonian structuresJacobi's last multiplierNambu-Poisson bracketchaotic three-dimensional systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (6)

$3D$-flows generated by the curl of a vector potential & Maurer-Cartan equations ⋮ Inverse scattering on the half-line for a first-order system with a general boundary condition ⋮ Classical Nambu brackets in higher dimensions ⋮ Direct Poisson neural networks: learning non-symplectic mechanical systems ⋮ On time-dependent Hamiltonian realizations of planar and nonplanar systems ⋮ On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D

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