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Título:
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The transition from regular to irregular motions, explained as travel on Riemann surfaces
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Autores:
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Calogero, F. ;
Gómez-Ullate Otaiza, David ;
Santin, Paolo M. ;
Sommacal, M
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Tipo de documento:
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texto impreso
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Editorial:
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IOP Publishing, 2005-10-14
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a three-body problem in the (complex) plane and providing the prototype of a mechanism explaining the transition from regular to irregular motions as travel on Riemann surfaces. The interest of this phenomenology-illustrating the onset in a deterministic context of irregular motions-is underlined by its generality, suggesting its eventual relevance to understand natural phenomena and experimental investigations. Here only some of our main findings are reported, without detailing their proofs: a more complete presentation will be published elsewhere.
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En línea:
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https://eprints.ucm.es/id/eprint/30881/1/gomez-ullate23preprint.pdf
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