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math.DG2024
Mechanical presymplectic structures and Marsden-Weinstein reduction of time-dependent Hamiltonian systems
I. Gutierrez-Sagredo, D. Iglesias Ponte, J. C. Marrero +1
In 1986, Albert proposed a Marsden-Weinstein reduction process for cosymplectic structures. In this paper, we present the limitations of this theory in the application of the reduc…
math.DS2024
Integrable deformations of Rikitake systems, Lie bialgebras and bi-Hamiltonian structures
Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
Integrable deformations of a class of Rikitake dynamical systems are constructed by deforming their underlying Lie-Poisson Hamiltonian structures, which are considered linearizatio…