arXiv Open Access 2022

Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems

Leonardo Colombo Manuel de León María Emma Eyrea Irazú Asier López-Gordón

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Abstrak

A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics of a mechanical system with impacts. Based on the approach by Clark, we develop a geometric Hamilton-Jacobi theory for forced and nonholonomic hybrid dynamical systems. We state the corresponding Hamilton-Jacobi equations for these classes of systems and apply our results to analyze some examples.

Topik & Kata Kunci

math-ph math.DS

Penulis (4)

Leonardo Colombo

Manuel de León

María Emma Eyrea Irazú

Asier López-Gordón

Format Sitasi

APA MLA BibTeX

Colombo, L., León, M.d., Irazú, M.E.E., López-Gordón, A. (2022). Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems. https://arxiv.org/abs/2211.06252

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓