Pàgina inicial > Resultats de la cerca: Liénard equation
  Consells de cerca
Cerca avançada
Cerca col·leccions:
Ordena'ls per: Mostrar els resultats: Format de visualizació:
Resultats globals: 10 registres trobats en 0.02 segons.
Articles, 10 registres trobats
Articles 10 registres trobats  
1.
7 p, 977.8 KB Rational first integrals of the Liénard equations : The solution to the Poincaré problem for the Liénard equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (Universidade Estadual Paulista. Departamento de Matemática) ; Ribeiro, Jarne D. (Instituto Federal de Educação, Ciência e Tecnologia do Sul de Minas Gerais)
Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a polynomial differential system in the plane has a rational first integral. Here we solve this question for the class of Liénard differential equations ẍ + f (x)ẋ + x = 0, being f (x) a polynomial of arbitrary degree. [...]
2021 - 10.1590/0001-3765202120191139
Anais da Academia Brasileira de Ciencias, Vol. 93, Issue 4 (2021) , p. e20191139
2 documents
Registre complet - Creative Commons
2.
23 p, 359.5 KB Effectiveness of the Bendixson-Dulac theorem / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Centre National de la Recherche Scientifique. Université de Tours. Institut Denis Poisson)
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 a function related with the curvature of the orbits of the vector field as a Dulac function. [...]
2021 - 10.1016/j.jde.2021.10.011
Journal of differential equations, Vol. 305 (December 2021) , p. 347-367  
Registre complet - Creative Commons
3.
23 p, 782.4 KB Fixed and moving limit cycles for Liénard equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Sabatini, Marco (Università di Trento. Dipartimento di Matematica)
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates. It has a fixed closed invariant curve that often contains periodic orbits of the system. We prove a general result that gives the hyperbolicity of these periodic orbits, and we also study the coexistence of them with other periodic orbits. [...]
2019 - 10.1007/s10231-019-00850-z
Annali di Matematica Pura ed Applicata, Vol. 198, Issue 6 (December 2019) , p. 1985-2006  
Registre complet -
4.
12 p, 673.9 KB Highest weak focus order for trigonometric Liénard equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
Given a planar analytic differential equation with a critical point which is a weak focus of order k, it is well known that at most k limit cycles can bifurcate from it. Moreover, in case of analytic Liénard differential equations this order can be computed as one half of the multiplicity of an associated planar analytic map. [...]
2019 - 10.1007/s10231-019-00936-8
Annali di Matematica Pura ed Applicata, vol. 199 (November 2019) p. 1673-1684  
Registre complet -
5.
32 p, 490.7 KB On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory / Acosta-Humánez, Primitivo B. (Universidad del Atlántico and Intelectual.Co. Department of Mathematics (Colombia)) ; Lázaro, J. Tomás (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I) ; Morales Ruiz, Juan J. (Universidad Politécnica de Madrid. Departamento de Matemática Aplicada) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. In particular we obtain integrability results for some families of quadratic vector fields, Liénard equations and equations related with special functions such as Hypergeometric and Heun ones. [...]
2015 - 10.3934/dcds.2015.35.1767
Discrete and continuous dynamical systems. Series A, Vol. 35, Issue 5 (May 2015) , p. 1767-1800  
Registre complet -
6.
14 p, 293.9 KB Center Problem for trigonometric Liénard systems / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring of trigonometric polynomials. [...]
2017 - 10.1016/j.jde.2017.05.008
Journal of differential equations, Vol. 263 (2017) , p. 3928-3942  
Registre complet -
7.
10 p, 300.3 KB Periodic solutions of Lienard differential equations via averaging theory of order two / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)
For ε = 0 sufficiently small we provide sufficient conditions for the existence of periodic solutions for the Lienard differential equations of the form x + f(x)x + n2x + g(x) = ε2p1(t) + ε3p2(t), where n is a positive integer, f : R → R is a C3 function, g : R → R is a C4 function, and pi : R → R for i = 1, 2 are continuous 2π-periodic function. [...]
2015 - 10.1590/0001-3765201520140129
Anais da Academia Brasileira de Ciencias, Vol. 87 Núm. 4 (2015) , p. 1905-1913  
Registre complet -
8.
20 p, 399.5 KB Alien limit cycles in Liénard equations / Coll, Bartomeu (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Dumortier, Freddy (Universiteit Hasselt(Belgium). Dept. Wiskunde) ; Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)
This paper aims at providing an example of a family of polynomial Liénard equations exhibiting an alien limit cycle. This limit cycle is perturbed from a 2-saddle cycle in the boundary of an annulus of periodic orbits given by a Hamiltonian vector field. [...]
2013 - 10.1016/j.jde.2012.11.005
Journal of differential equations, Vol. 254 (2013) , p. 1582-1600  
Registre complet -
9.
19 p, 720.6 KB On the maximum number of limit cycles of a class of generalized Liénard differential systems / Alavez-Ramírez, Justino (UJAT(México). Division Académica de Ciencias Básicas) ; Blé, Gamaliel (UJAT(México). Division Académica de Ciencias Básicas) ; López-López, Jorge (UJAT(México). Division Académica de Ciencias Básicas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Applying the averaging theory of first, second and third order to one class generalized polynomial Li'enard differential equations, we improve the known lower bounds for the maximum number of limit cycles that this class can exhibit.
2012 - 10.1142/S0218127412500630
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 22 Núm. 3 (2012) , p. 1250063  
Registre complet -
10.
18 p, 797.8 KB Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)
We provide lower bounds for the maximum number of limit cycles for the m-piecewise discontinuous polynomial differential equations x = y + sgn(gm (x, y))F (x), y = −x, where the zero set of the function sgn(gm (x, y)) with m = 2, 4, 6, . [...]
2015 - 10.1007/s00033-013-0393-2
ZAMP. Journal of Applied Mathematics and Physics, Vol. 66 Núm. 1 (2015) , p. 51-66  
Registre complet -

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