Sections of Hamiltonian Systems

Autor(es)

Kourliouros, Konstantinos ^[1]

Afiliação do(s) autor(es)

^[1] ICMC USP, Av Trabalhador Sancarlense 400 Ctr, Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: REGULAR & CHAOTIC DYNAMICS; v. 26, n. 4, p. 331-349, JUL 2021.
• Citações Web of Science: 0

Resumo

A section of a Hamiltonian system is a hypersurface in the phase space of the system, usually representing a set of one-sided constraints (e. g., a boundary, an obstacle or a set of admissible states). In this paper we give local classification results for all typical singularities of sections of regular (non-singular) Hamiltonian systems, a problem equivalent to the classification of typical singularities of Hamiltonian systems with one-sided constraints. In particular, we give a complete list of exact normal forms with functional invariants, and we show how these are related/obtained by the symplectic classification of mappings with prescribed (Whitney-type) singularities, naturally defined on the reduced phase space of the Hamiltonian system. (AU)

• Processo FAPESP: 17/23555-9 - Singularidades de sistemas hamiltonianos com restrições
• Beneficiário: Konstantinos Kourliouros
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado