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Phase portraits of separable Hamiltonian systems
dc.creator | Guillamon Grabolosa, Antoni | |
dc.creator | Pantazi, Chara | |
dc.date.accessioned | 2016-02-19T06:54:14Z | |
dc.date.available | 2016-02-19T06:54:14Z | |
dc.date.issued | 2007-09 | |
dc.identifier.citation | Guillamon Grabolosa, A. y Pantazi, C. (2007). Phase portraits of separable Hamiltonian systems. | |
dc.identifier.uri | http://hdl.handle.net/11441/35792 | |
dc.description.abstract | We study some generalizations of potential Hamiltonian systems (H(x, y) = y 2 + F(x)) with one degree of freedom. In particular, we are interested in Hamiltonian systems with Hamiltonian functions of type H(x, y) = F(x) + G(y) arising in applied mechanical problems. We present an algorithm to plot the phase portrait (include the behavior at infinity) of any Hamiltonian system of type H(x, y) = F(x) +G(y), where F and G are arbitrary polynomials. We are able to give the full description in the Poincaré disk according to the graphs of F and G, extending the well-known method for the “finite”phase portrait of potential systems. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | . | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Phase portraits of separable Hamiltonian systems | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.relation.projectID | MTM2005-06098-C02-1 | |
dc.relation.projectID | 2005SGR-986 | |
dc.relation.projectID | MTM2006-00478 | |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/35792 |
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