Hamiltonian structure, equilibria, and stability for an axisymmetric gyrostat motion in the presence of gravity and magnetic fields
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DOI: 10.1007/s00707-019-02413-y
Abstract: This work is interested in studying the motion of a rigid body carrying a rotor that rotates with a constant angular velocity about an axis parallel to the axis of dynamical symmetry. This motion is… read more here.
Keywords: equilibria stability; hamiltonian structure; stability; gravity ... See more keywords
Bi-Hamiltonian structure of the oriented associativity equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab15f4
Abstract: The Oriented Associativity equation plays a fundamental role in the theory of Integrable Systems. In this paper we prove that the equation, besides being Hamiltonian with respect to a first-order Hamiltonian operator, has a third-order… read more here.
Keywords: associativity equation; oriented associativity; structure oriented; hamiltonian structure ... See more keywords