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Dipòsit Digital de Documents de la UAB 72 registres trobats  inicianterior34 - 43següentfinal  anar al registre: La cerca s'ha fet en 0.03 segons. 
34.
9 p, 590.4 KB On the periodic solutions of the 5-dimensional Lorenz equation modeling coupled Rosby waves and gravity waves / de Carvalho, Tiago (Universidade Estadual Paulista (Brasil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
2017 - 10.1142/S0218127417500900
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 6 (Junio 2017)  
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35.
9 p, 288.4 KB Degenerate Fold-Hopf Bifurcations in a Rössler-Type System / Tigan, Gheorghe (Politehnica University of Timisoara (Romania). Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ciurdariu, Loredana (Politehnica University of Timisoara (Romania). Department of Mathematics)
We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z, =x ay, =-cz byz, * with b 0. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold--Hopf bifurcation, which here is studied using the averaging theory. [...]
2017 - 10.1142/S0218127417500687
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 5 (2017) , p. 1750068  
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36.
4 p, 262.6 KB On the Homoclinic Orbits of the Lü System / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción (Xile). Departamento de Matemática y Física Aplicadas)
In this paper, the existence of homoclinic orbits of the equilibrium point (0, 0, 0) is demonstrated in the case of the Lu ̈ system for parameter values not reported by G. A. Leonov. In addition, some simulations are shown that agree with our theoretical analysis.
2017 - 10.1142/S0218127417500705
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 5 (2017) , p. 1750070  
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37.
17 p, 752.4 KB Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems / García, Isaac (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we show examples of planar quadratic differential systems having some famous planar invariant algebraic curves. We carry out a non exhaustive classification taking into account the degree of the invariant algebraic curve. [...]
2017 - 10.1142/S0218127417501413
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 9 (2017) , p. 1750141 (12 pages)  
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38.
9 p, 300.5 KB Periodic orbits of the planar anisotropic Kepler problem / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics (Egipte). Astronomy Department) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
In this paper we prove that at every energy level the anisotropic problem with small anisotropy has two periodic orbits which bifurcate from elliptic orbits of the Kepler problem with high eccentricity. [...]
2017 - 10.1142/S0218127417500390
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 3 (2017) , p. 1750039  
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39.
27 p, 505.8 KB Topological Classification of Quadratic Polynomial Differential Systems with a Finite Semi-Elemental Triple Saddle / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rezende, Alex C. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The study of planar quadratic differential systems is very important not only because they appear in many areas of applied mathematics but due to their richness in structure, stability and questions concerning limit cycles, for example. [...]
2016 - 10.1142/S0218127416501881
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 26 Núm. 11 (2016) , p. 1650188 (26 pages)  
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40.
18 p, 599.5 KB When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space / Dias, Fabio Scalco (Universidade Federal de Itajubá(Brazil). Instituto de Matemática e Computacâo) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá(Brazil). Instituto de Matemática e Computacâo)
We study polynomial vector fields of arbitrary degree in R^3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. [...]
2016 - 10.1142/S0218127416501601
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 26 Núm. 9 (2016) , p. 1650160 (14 pages)  
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41.
4 p, 365.5 KB Heteroclinic, homoclinic and closed orbits in the Chen system / Tigan, Gheorghe (Politehnica University of Timisoara(Romania). Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Bounded orbits such as closed, homoclinic and heteroclinic orbits are discussed in this work for a Lorenz- like 3D nonlinear system. For a large spectrum of the parameters the system has neither closed nor homoclinic orbits but has exactly two heteroclinic orbits, while under other constraints the system has symmetrical homoclinic orbits.
2016 - 10.1142/S0218127416500723
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 26 Núm. 4 (2016) , p. 1650072  
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42.
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)  
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43.
25 p, 3.2 MB Global phase portraits of Kukles differential systems with homogenous polynomial nonlinearities of degree 5 having a center and their small limit cycles / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Silva, Mauricio Fronza da (Universidade Federal de Santa Maria(Brazil). Departamento de Matemática)
We provide the nine topological global phase portraits in the Poincaré disk of the family of the centers of Kukles polynomial differential systems of the form x = -y, y= x ax^5y bx^3y^3 cxy^5, where x,y\R and a,b,c are real parameters satisfying a^2 b^2 c^2 0. [...]
2016 - 10.1142/S0218127416500449
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 26 Núm. 3 (2016) , p. 1650044 (25 pages)  
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