Zobrazeno 1 - 10
of 187
pro vyhledávání: '"Armengol Gasull"'
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 15, Pp 1-27 (2021)
Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the $n$ dimensional case, the zero solution is globally asymptotically s
Externí odkaz:
https://doaj.org/article/975949bccbcd49a3800f37d528ea456b
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 19,, Pp 1-14 (2020)
We study the number of limit cycles of planar piecewise linear differential systems separated by a branch of an algebraic curve. We show that for each $n\in\mathbb{N}$ there exist piecewise linear differential systems separated by an algebraic cur
Externí odkaz:
https://doaj.org/article/f1d72105b9074ae297b6b4382b5badef
Publikováno v:
Electronic Journal of Differential Equations, Vol 2004, Iss 122, Pp 1-7 (2004)
Abstract: We study the normal form of the ordinary differential equation $dot z=f(z)$, $zinmathbb{C}$, in a neighbourhood of a point $pinmathbb{C}$, where $f$ is a one-dimensional holomorphic function in a punctured neighbourhood of $p$. Our results
Externí odkaz:
https://doaj.org/article/7b662d2112d748a7bdcf67652f2b94f1
Autor:
Hector Giacomini, Armengol Gasull
Publikováno v:
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Universitat Autònoma de Barcelona
22 pages, 30 réf.; We illustrate with several new applications the power and elegance of the Bendixson–Dulac theorem to obtain upper bounds of the number of limit cycles for several families of planar vector fields. In some cases we propose to use
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5aa9f74e02589e845dafd50fd1b978e7
https://doi.org/10.1016/j.jde.2021.10.011
https://doi.org/10.1016/j.jde.2021.10.011
Autor:
Armengol Gasull
Publikováno v:
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Universitat Autònoma de Barcelona
The aim of this paper is to share with the mathematical community a list of 33 problems that I have found along the years during my research. I believe that it is worth to think about them and, hopefully, it will be possible either to solve some of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da8b0c096c5cf38c2719becd3b2b2fc5
https://doi.org/10.1007/s40324-021-00244-3
https://doi.org/10.1007/s40324-021-00244-3
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)
Journal of Differential Equations, 269(9)
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)
Journal of Differential Equations, 269(9)
We show that a family of certain definite integrals forms a Chebyshev system if two families of associated functions appearing in their integrands are Chebyshev systems as well. We apply this criterion to several examples which appear in the context
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3d2d75d8ba29ef385dd0e2c898e5a4e
https://doi.org/10.1016/j.jde.2020.05.015
https://doi.org/10.1016/j.jde.2020.05.015
The celebrated Brouwer translation theorem asserts that for a preserving orientation fixed point free homeomorphism of the plane, each point belongs to an invariant region where the dynamics is continuously conjugate to a translation. In this work we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83b13bce66374b3e4494ccf177c310e9
https://ddd.uab.cat/record/267138
https://ddd.uab.cat/record/267138
Autor:
Claudia Valls, Armengol Gasull
Publikováno v:
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Universitat Autònoma de Barcelona
We consider non-autonomous N-periodic discrete dynamical systems of the form (Formula presented.) having when (Formula presented.) an open continuum of initial conditions such that the corresponding sequences are N-periodic. From the study of some va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18005738ca923e5fb1b8e2982a383f78
https://ddd.uab.cat/record/257089
https://ddd.uab.cat/record/257089
Publikováno v:
Web of Science
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Made available in DSpace on 2021-06-25T12:41:41Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-06-01 Ministerio de Ciencia e Innovacion, Spain Agencia de Gestio d'Ajuts Universitaris i de Recerca, Spain Coordenação de Aperfeiçoamento de Pe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28a76af381db15d6d757728b23021def
Publikováno v:
Web of Science
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, in terms of the energy, of the period function for a non-degenerated center of any planar analytic Hamiltonian system. We apply it to several examples,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b045c7f9eaeb14c4046b8bdf37d229ad