Výsledky vyhledávání - "JOAN CARLES ARTÉS"

Akademický článek

Dynamics of the Isotropic Star Differential System from the Mathematical and Physical Point of Views

Autor: Joan-Carles Artés, Jaume Llibre, Nicolae Vulpe

Publikováno v: AppliedMath, Vol 4, Iss 1, Pp 70-78 (2024)

The following differential quadratic polynomial differential system dxdt=y−x, dydt=2y−yγ−12−γy−5γ−4γ−1x, when the parameter γ∈(1,2] models the structure equations of an isotropic star having a linear barotropic equation of state,

Externí odkaz: https://doaj.org/article/307f6d92a26d4ed2a213caec9dfbf296

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Akademický článek

The phase portrait of the Hamiltonian system associated to a Pinchuk map

Autor: JOAN CARLES ARTÉS, FRANCISCO BRAUN, JAUME LLIBRE

Publikováno v: Anais da Academia Brasileira de Ciências, Vol 90, Iss 3, Pp 2599-2616

Abstract In this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincaré disc. In particular, we prove that this phase portrait has 15 separatrices, five of them singular points, and 7 canoni

Externí odkaz: https://doaj.org/article/b3c8078e1ed942ef94b1ceee21f4aca1

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Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities

Autor: Jaume Llibre, Joan Carles Artés, Nicolae Vulpe, Dana Schlomiuk

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Agraïments: The third author is supported by NSERC. The fourth author is also supported by the grant 12.839.08.05F from SCSTD of ASM and partially by NSERC. In this work we classify, with respect to the geometric equivalence relation, the global con

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f08d0e4581ec223371fdcb123562ce68
http://hdl.handle.net/2072/413403

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Dynamics of the Higgins-Selkov and Selkov systems

Autor: Jaume Llibre, Claudia Valls, Joan Carles Artés

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

We describe the global dynamics in the Poincare disc of the Higgins–Selkov model x ′ = k 0 − k 1 x y 2 , y ′ = − k 2 y + k 1 x y 2 , where k0, k1, k2 are positive parameters, and of the Selkov model x ′ = − x + a y + x 2 y , y ′ = b �

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f432a1928e870d6988f9e82f31d6f293
http://hdl.handle.net/2072/431039

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Global configurations of singularities for quadratic differential systems with exactly two finite singularities of total multiplicity four

Autor: Jaume Llibre, Joan Carles Artés, Dana Schlomiuk, Alex C. Rezende, Nicolae Vulpe

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2014, Iss 60, Pp 1-43 (2014)

El títol de la versió pre-print de l'article és: Geometric classification of configurations of singularities with total finite multiplicity four for a class of quadratic systems Agraïments/Ajudes: The third author is supported by CAPES/DGU BEX 94

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4cd70d43cc0cbab8ca60209edbb32fc
http://hdl.handle.net/2072/410601

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Uniform isochronous cubic and quartic centers: Revisited

Autor: Jaume Llibre, Jackson Itikawa, Joan Carles Artés

In this paper we completed the classification of the phase portraits in the Poincare disc of uniform isochronous cubic and quartic centers previously studied by several authors. There are three and fourteen different topological phase portraits for t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b4fbdcd9ae463c0180249bc78b2381d
https://ddd.uab.cat/record/169500

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Global configurations of singularities for quadratic differential systems with total finite multiplicity three and at most two real singularities

Autor: Nicolae Vulpe, Jaume Llibre, Dana Schlomiuk, Joan Carles Artés

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname

In this work we consider the problem of classifying all configurations of singularities, finite and infinite, of quadratic differential systems, with respect to the geometric equivalence relation defined in Artes et al. (Rocky Mount J Math, 2014). Th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::008ca0087afaf17f74d25fc44b697aeb
https://ddd.uab.cat/record/150677

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The Geometry of Quadratic Polynomial Differential Systems with a Finite and an Infinite Saddle-Node (A, B)

Autor: Alex C. Rezende, Regilene Oliveira, Joan Carles Artés

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname

The goal is to make a global study of the family QsnSN of all real quadratic polynomial differential systems which have a finite semi-elemental saddle-node and an infinite saddle-node formed by the collision of two infinite singular points. This fami

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e22b97ca54e42af7c908e36a21f2bfb2
https://doi.org/10.1142/s0218127414500448

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Geometrical and topological investigation of some families of quadratic differential systems possessing saddle-nodes or invariant ellipses

Autor: Marcos Coutinho Mota

Publikováno v: Biblioteca Digital de Teses e Dissertações da USP
Universidade de São Paulo (USP)
instacron:USP

The study of quadratic polynomial differential systems on the plane have been shown a tough challenge, there exist hundreds of papers about them which are dated for over a century and until now there exist several topics to be studied and concluded.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de305edc799a4015c2925bfd0062a479
https://doi.org/10.11606/t.55.2021.tde-18052021-121432

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The geometry of some tridimensional families of planar quadratic differential systems

Autor: Alex C. Rezende

Publikováno v: Biblioteca Digital de Teses e Dissertações da USP
Universidade de São Paulo (USP)
instacron:USP

Sistemas diferenciais quadráticos planares estão presentes em muitas áreas da matemática aplicada. Embora mais de mil artigos tenham sido publicados sobre os sistemas quadráticos ainda resta muito a se conhecer sobre esses sistemas. Problemas cl

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