Regular and Chaotic Dynamics - Resultats de la cerca - Dipòsit Digital de Documents de la UAB

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Dipòsit Digital de Documents de la UAB	4 registres trobats	La cerca s'ha fet en 0.01 segons.

On Families of Bowen - Series-Like Maps for Surface Groups / Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Juher, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Los, Jérôme ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We review some recent results on a class of maps, called Bowen - Series-like maps, obtained from a class of group presentations for surface groups. These maps are piecewise homeomorphisms of the circle with finitely many discontinuities. [...]
2023 - DOI (Digital Object Identifier)

10.1134/S1560354723040093
Regular and Chaotic Dynamics, Vol. 28, Issue 4-5 (October 2023) , p. 659-667

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12 p, 722.3 KB

Tangential trapezoid central configurations / Yuan, Pengfei (Southwest University. School of Mathematics and Statistics (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose four sides are all tangent to a circle within the trapezoid: the in-circle or inscribed circle. In this paper we classify all planar four-body central configurations, where the four bodies are at the vertices of a tangential trapezoid.
2020 - DOI (Digital Object Identifier)

10.1134/S156035472006009X
Regular and Chaotic Dynamics, Vol. 25, Issue 6 (November 2020) , p. 651-661

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29 p, 827.1 KB

On the convex central configurations of the symmetric (ℓ + 2)-body problem / Corbera Subirana, Montserrat (Universitat de Vic. Departament d'Enginyeries) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Yuan, Pengfei (Southwest University. School of Mathematics and Statistics (China))
For the 4-body problem there is the following conjecture: Given arbitrary positive masses, the planar 4-body problem has a unique convex central configuration for each ordering of the masses on its convex hull. [...]
2020 - DOI (Digital Object Identifier)

10.1134/S1560354720030028
Regular and Chaotic Dynamics, Vol. 25, Issue 3 (May 2020) , p. 250-272

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11 p, 628.1 KB

Darboux polynomials, balances and Painlevé property / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
For a given polynomial differential system we provide different necessary conditions for the existence of Darboux polynomials using the balances of the system and the Painlevé property. As far as we know, these are the first results which relate the Darboux theory of integrability, first, to the Painlevé property and, second, to the Kovalevskaya exponents. [...]
2017 - DOI (Digital Object Identifier)

10.1134/S1560354717050057
Regular and Chaotic Dynamics, Vol. 22, Issue 5 (September 2017) , p. 543-550

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