Pàgina inicial > Resultats de la cerca: Planar Systems
  Consells de cerca
Cerca avançada
Cerca col·leccions:
Ordena'ls per: Mostrar els resultats: Format de visualizació:
Resultats globals: 11 registres trobats en 0.03 segons.
Articles, 11 registres trobats
Articles 11 registres trobats  1 - 10següent  anar al registre:
1.
16 p, 265.2 KB Time-reversibility and integrability of p : −q resonant vector fields / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Romanovski, Valery G. (University of Maribor. Center for Applied Mathematics and Theoretical Physics) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the local analytical integrability in a neighborhood of p: −q resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect to the non-smooth involution ϕ(x, y) = (yp/q, xq/p). [...]
2024 - 10.3934/math.2024005
AIMS Mathematics, Vol. 9, Issue 1 (2024) , p. 73-88  
Registre complet - Creative Commons
2.
18 p, 607.8 KB Abelian integrals and non-generic turning points / Huzak, Renato (Hasselt University (Belgium)) ; Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a non-generic turning point in planar slow-fast systems. Such Abelian integrals generalize the Abelian integrals produced by a slow-fast Hopf point (or generic turning point), introduced in Dumortier et al. [...]
2022 - 10.1007/s12346-022-00609-7
Qualitative theory of dynamical systems, Vol. 21, Issue 3 (September 2022) , art. 77
2 documents
Registre complet - Creative Commons
3.
6 p, 264.2 KB On the limit cycle of a Belousov-Zhabotinsky differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Oliveira, Regilene (Universidade de São Paulo. Instituto de Ciências Matemáticas e Computação.)
In Leonov and Kuznetsov (2013), the authors shown numerically the existence of a limit cycle surrounding the unstable node that system (1) has in the positive quadrant for specific values of the parameters. [...]
2022 - 10.1002/mma.7798
Mathematical methods in the applied sciences, Vol. 45, Issue 2 (January 2022) , p. 579-584  
Registre complet -
4.
24 p, 359.3 KB Limit cycles from a monodromic infinity in planar piecewise linear systems / Freire, Emilio (Universidad de Sevilla. Departamento de Matemática Aplicada II) ; Ponce, Enrique (Universidad de Sevilla. Departamento de Matemática Aplicada II) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torres, Francisco (Universidad de Sevilla. Departamento de Matemática Aplicada II)
Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity are considered. By using some changes of variables and parameters, a reduced canonical form with five parameters is obtained. [...]
2021 - 10.1016/j.jmaa.2020.124818
Journal of mathematical analysis and applications, Vol. 496, Issue 2 (April 2021) , art. 124818  
Registre complet - Creative Commons
5.
26 p, 577.1 KB Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We present a systematic methodology to determine and locate analytically isolated periodic points of discrete and continuous dynamical systems with algebraic nature. We apply this method to a wide range of examples, including a one-parameter family of counterexamples to the discrete Markus-Yamabe conjecture (La Salle conjecture); the study of the low periods of a Lotka-Volterra-type map; the existence of three limit cycles for a piecewise linear planar vector field; a new counterexample of Kouchnirenko conjecture; and an alternative proof of the existence of a class of symmetric central configuration of the (1 + 4)-body problem.
2020 - 10.3934/dcdsb.2019259
Discrete and continuous dynamical systems. Series B, Vol. 25, Issue 2 (February 2020) , p. 651-670  
Registre complet -
6.
7 p, 285.2 KB New classes of polynomial maps satisfying the real Jacobian conjecture in R2 / Itikawa, Jackson (Universidade Federal de Rondônia. Departamento de Matemática (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2. The first class is formed by the polynomials maps of the form (q(x) - p(y),q(y) + p(x)): ℝ2 → ℝ2 such that p and q are real polynomials satisfying p'(x)q'(x) ≠ 0. [...]
2019 - 10.1590/0001-3765201920170627
Anais da Academia Brasileira de Ciencias, Vol. 91, Issue 2 (2019) , art. e20170627
2 documents
Registre complet -
7.
11 p, 287.9 KB Asymptotic expansion of the heteroclinic bifurcation for the planar normal form of the 1:2 resonance / Roberto, Lucy Any (UNESP (Brasil). Departamento de Matemática) ; Da Silva, Paulo R. (UNESP (Brazil). Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We consider the family of planar differential systems depending on two real parameters \[ x =y, y = _1 x _2 y x^3-x^2y. \] This system corresponds to the normal form for the 1:2 resonance which exhibits a heteroclinic connection. [...]
2016 - 10.1142/S0218127416500176
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 26 Núm. 1 (2016) , p. 1650017 (8 pages)  
Registre complet -
8.
6 p, 641.7 KB Analytic integrability of a class of planar polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
In this paper we find necessary and sufficient conditions in order that the differential systems of the form ˙x = xf(y), ˙y = g(y), with f and g polynomials, have a first integral which is analytic in the variable x and meromorphic in the variable y. [...]
2015 - 10.3934/dcdsb.2015.20.2657
Discrete and continuous dynamical systems. Series B, Vol. 20 Núm. 8 (2015) , p. 2657-2661  
Registre complet -
9.
16 p, 478.3 KB Limit cycles for a class of quintic Z_6 equivariant systems without infinite critical points / Álvarez Torres, María Jesús (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Laboriau, Isabel S. (Centro de Matemática da Universidade do Porto (Portugal)) ; Murza, Adrian (Centro de Matemática da Universidade do Porto (Portugal))
We analyze the dynamics of a class of Z_6-equivariant systems of the form =pz^2 sz^3^2-^5, where z is complex, the time t is real, while p and s are complex parameters. This study is the natural continuation of a previous work (M. [...]
2014
Bulletin of the Belgian Mathematical Society. Simon Stevin, Vol. 21 (2014) , p. 841-857  
Registre complet -
10.
19 p, 406.0 KB On the Chebyshev property for a new family of functions / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We analyze whether a given set of analytic functions is an Extended Chebyshev system. This family of functions appears studying the number of limit cycles bifurcating from some nonlinear vector field in the plane. [...]
2012 - 10.1016/j.jmaa.2011.09.019
Journal of mathematical analysis and applications, Vol. 387 (2012) , p. 631-644  
Registre complet -

Articles : 11 registres trobats   1 - 10següent  anar al registre:
Us interessa rebre alertes sobre nous resultats d'aquesta cerca?
Definiu una alerta personal via correu electrònic o subscribiu-vos al canal RSS.
Dipòsit Digital de Documents de la UAB :: Cerca :: Lliura :: Personalitza :: Ajuda
Powered by Invenio v1.1.6
Mantingut per ddd.bib@uab.cat  :: Metadades subjectes a:
Col·laborem