Systems of transversal sections for 3-dimensional Reeb flows
Hamiltonian dynamics near critical energy levels and homoclinic orbits to the cent...
| Full text | |
| Author(s): |
Kourliouros, Konstantinos
[1]
Total Authors: 1
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| Affiliation: | [1] ICMC USP, Av Trabalhador Sancarlense 400 Ctr, Sao Carlos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | REGULAR & CHAOTIC DYNAMICS; v. 26, n. 4, p. 331-349, JUL 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 17/23555-9 - Singularities of Hamiltonian Systems with constraints |
| Grantee: | Konstantinos Kourliouros |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |