71 citations
- Universidad Politécnica de MadridES10 papers
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Showing 2023 · math-phShow all
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math-ph2023★ 1 cited
On the integrability of hybrid Hamiltonian systems
Asier López-Gordón, Leonardo J. Colombo
A hybrid system is a system whose dynamics are controlled by a mixture of both continuous and discrete transitions. The integrability of Hamiltonian systems is often identified wit…
math-ph2023
An energy-momentum method for ordinary differential equations with an underlying -polysymplectic manifold
Leonardo Colombo, Javier de Lucas, Xavier Rivas +1
This work presents a comprehensive review of the -polysymplectic Marsden-Weinstein reduction theory, rectifying prior errors and inaccuracies in the literature while introducing…
math-ph2023★ 2 cited
Implicit Nonholonomic Mechanics with Collisions
Álvaro Rodríguez Abella, Leonardo Colombo
In this paper, variational techniques are used to analyze the dynamics of nonholonomic mechanical systems with impacts. Implicit nonholonomic smooth Lagrangian and Hamiltonian syst…