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math-ph2023
Scaling symmetries and canonoid transformations in Hamiltonian systems
R. Azuaje, A. Bravetti
We investigate various types of symmetries and their mutual relationships in Hamiltonian systems defined on manifolds with different geometric structures: symplectic, cosymplectic,…
math-ph2023
On particular integrability in classical mechanics
A. M. Escobar-Ruiz, R. Azuaje
In this study the notion of particular integrability in Classical Mechanics, introduced in [J. Phys. A: Math. Theor. 46 025203, 2013], is revisited within the formalism of symplect…
math-ph2023★ 8 cited
Lie integrability by quadratures for symplectic, cosymplectic, contact and cocontact Hamiltonian systems
R. Azuaje
In this paper we present the theorem on Lie integrability by quadratures for time-independent Hamiltonian systems on symplectic and contact manifolds, and for time-dependent Hamilt…