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Articles 38 registres trobats  inicianterior22 - 31següent  anar al registre: La cerca s'ha fet en 0.01 segons. 
22.
20 p, 395.4 KB On nonsmooth perturbations of nondegenerate planar centers / Novaes, Douglas D. (Universidade Estadual de Campinas (Brasil). Departamento de Matemática)
We provide sufficient conditions for the existence of limit cycles of non-smooth perturbed planar centers, when the set of discontinuity is an algebraic variety. It is introduced a mechanism which allows us to deal with such system, even in higher dimension. [...]
2014 - 10.5565/PUBLMAT_Extra14_20
Publicacions matemàtiques, Vol. Extra (2014) , p. 395-420
2 documents
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23.
13 p, 727.8 KB Reduction of periodic difference systems to linear or autonomous ones / Li, Weigu (Peking University. School of Mathematical Sciences) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Wu, Hao (Peking University. School of Mathematical Sciences)
We extend Floquet theory for reducing nonlinear periodic difference systems to autonomous ones (actually linear) by using normal form theory.
2013 - 10.1016/j.bulsci.2011.01.001
Bulletin des Sciences Mathematiques, Vol. 137 (2013) , p. 129-139  
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24.
8 p, 693.0 KB On the periodic orbits of the Third-order differential equation x ' ' '- x ' ' x'- x= F(x,x',x ' ') / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Roberto, Lucy Any (Ibilce - UNESP(Brasil). Departamento de Matemática)
In this paper we study the periodic orbits of the third-order differential equation x''' − µx'' + x' − µx = εF(x, x', x''), where ε is a small parameter and the function F is of class C2.
2013 - 10.1016/j.aml.2012.10.017
Applied mathematics letters, Vol. 26 (2013) , p. 425-430  
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25.
7 p, 623.4 KB On the periodic solutions of a class of Duffing differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Roberto, Lucy Any (Ibilce - UNESP(Brasil). Departamento de Matemática)
In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation x'' + cx' +a(t)x + b(t)x3 = λh(t), where c > 0 is a constant, λ is a real parameter, a(t), b(t) and h(t) are continuous T-periodic functions. [...]
2013 - 10.3934/dcds.2013.33.277
Discrete and continuous dynamical systems. Series A, Vol. 33 Núm. 1 (2013) , p. 277-282  
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26.
8 p, 626.3 KB Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Roberto, Lucy Any (Universidade Estadual Júlio de Mesquita(Brasil). Departamento de Matemática)
In this paper we study the periodic orbits of the Hamiltonian system with the Armburster-Guckenheimer-Kim potential and its non-integrability in the sense of Liouville-Arnold.
2013 - 10.1007/s10509-012-1210-7
Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, Vol. 343 Núm. 1 (2013) , p. 69-74  
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27.
9 p, 708.0 KB On the number of limit cycles for discontinuous piecewise linear differential systems in R^2n with two zones / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rong, Feng (Shanghai Jiao Tong University. Department of Mathematics)
We study the number of limit cycles of the discontinuous piecewise linear differential systems in R2n with two zones separated by a hyperplane. Our main result shows that at most (8n−6)n−1 limit cycles can bifurcate up to first-order expansion of the displacement function with respect to a small parameter. [...]
2013 - 10.1142/S0218127413500247
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 23 Núm. 2 (2013) , p. 1350024  
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28.
10 p, 628.0 KB Limit cycles of polynomial differential equations with quintic homogenous nonlinearities / Benterki, Rebiha (Université de Bordj Bou Arréridj(Algeria). Departement de Mathématiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we mainly study the number of limit cycles which can bifurcate from the periodic orbits of the two centers x˙ = −y, y˙ = x; x˙ = −y(1 − (x2 + y2)2), y˙ = x(1 − (x2 + y2)2); when they are perturbed inside the class of all polynomial differential systems with quintic homogenous nonlinearities. [...]
2013 - 10.1016/j.jmaa.2013.04.076
Journal of mathematical analysis and applications, Vol. 407 Núm. 1 (2013) , p. 16-22  
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29.
15 p, 517.2 KB Perturbed damped pendulum: finding periodic solutions via averaging method / Novaes, Douglas D. (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)
Using the damped pendulum model we introduce the averaging method to study the periodic solutions of dynamical systems with small non-autonomous perturbation. We provide sufficient conditions for the existence of periodic solutions with small amplitude of the non-linear perturbed damped pendulum. [...]
2013 - 10.1590/s1806-11172013000100014
Revista Brasileira de Ensino de Física, Vol. 35 Núm. 1 (2013) , p. 7 pages  
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30.
15 p, 798.6 KB Bifurcation of limit cycle from a n-dimensional linear center inside a class of piecewise linear differential systems / Cardin, Pedro Toniol (IBILCE-UNESP(Brazil)) ; de Carvalho, Tiago (IBILCE-UNESP(Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let n be an even integer. We study the bifurcation of limit cycles from the periodic orbits of the n-dimensional linear center given by the differential system x˙ 1 = −x2, x˙ 2 = x1, . . . , x˙ n−1 = −xn, x˙ n = xn−1, perturbed inside a class of piecewise linear differential systems. [...]
2012 - 10.1016/j.na.2011.08.013
Nonlinear Analysis : Theory, Methods and Applications, Vol. 75 (2012) , p. 143-152  
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31.
13 p, 709.9 KB A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter / Buica, Adriana (Babeç-Bolyai University(Romania). Department of Applied Mathematics) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We deal with nonlinear T-periodic differential systems depending on a small parameter. The unperturbed system has an invariant manifold of periodic solutions. We provide the expressions of the bifurcation functions up to second order in the small parameter in order that their simple zeros are initial values of the periodic solutions that persist after the perturbation. [...]
2012 - 10.1016/j.physd.2011.11.007
Physica D. Nonlinear phenomena, Vol. 241 (2012) , p. 528-533  
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Articles : 38 registres trobats   inicianterior22 - 31següent  anar al registre:
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