Bi-Hamiltonian structure in Frenet-Serret frame

DOI10.1016/j.physd.2008.11.013zbMath1157.37330OpenAlexW2022656540MaRDI QIDQ1011560

Hasan Gümral, Ender Abadoğlu

Publication date: 8 April 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.11.013

zbMATH Keywords

Riccati equationPoisson structuresbi-Hamiltonian systemsFrenet-Serret framethree-dimensional dynamical systems

Mathematics Subject Classification ID

Related Items

Superintegrable cases of four-dimensional dynamical systems, Hamiltonian dynamical systems and geometry of surfaces in 3-D, Sasakian structure associated with a second-order ODE and Hamiltonian dynamical systems, Congruence method for global Darboux reduction of finite-dimensional Poisson systems, Bi-Hamiltonian structure of a unit geodesic vector field on a 3D space of constant negative curvature, Motion of an integral curve of a Hamiltonian dynamical system and the evolution equations in 3D, New global solutions of the Jacobi partial differential equations, Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems, Unnamed Item, Generalized results on the role of new-time transformations in finite-dimensional Poisson systems

Cites Work

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