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UAB Digital Repository of Documents 233 records found  beginprevious166 - 175nextend  jump to record: Search took 0.01 seconds. 
166.
10 p, 572.7 KB The rolling ball problem on the plane revisited / Biscolla, Laura M. O. (Universidade Paulista(Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Oliva, Waldyr M. (Instituto Superior Tecnico (Lisboa))
By a sequence of rollings without slipping or twisting along segments of an straight line of the plane a spherical ball of unit radius has to be transferred from an initial state to an arbitrary final state taking into account the orientation of the ball. [...]
2013 - 10.1007/s00033-012-0279-8
ZAMP. Journal of Applied Mathematics and Physics, Vol. 64 Núm. 4 (2013) , p. 991-1003  
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167.
12 p, 272.4 KB Piecewise linear differential systems with two real saddles / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Medrado, Joao Carlos (Universidade Federal de Goiás(Brazil).Instituto de Matemática e Estatística) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)
In this paper we study piecewise linear differential systems formed by two regions separated by a straight line so that each system has a real saddle point in its region of definition. If both saddles are conveniently situated, they produce a transition flow from a segment of the splitting line to another segment of the same line, and this produces a generalized singular point on the line. [...]
2013 - 10.1016/j.matcom.2013.02.007
Mathematics and computers in simulation, Vol. 95 (2013) , p. 13-22  
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168.
9 p, 661.1 KB The symmetric central configurations of the 4-body problem with masses m_1=m_2 m_3=m_4 / Álvarez-Ramírez, Martha (UAM-Iztapalapa(México). Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We characterize the planar central configurations of the 4-body problem with masses m1 = m2 ̸= m3 = m4 which have an axis of symmetry. It is known that this problem has exactly two classes of convex central configurations, one with the shape of a rhombus and the other with the shape of an isosceles trapezoid. [...]
2013 - 10.1016/j.amc.2012.12.036
Applied Mathematics and Computation, Vol. 219 (2013) , p. 5996-6001  
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169.
10 p, 368.8 KB A note of the periodic orbits of a kind of Duffing equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rodrigues, Ana (Universidade do Porto(Portugal). Centro de Matemática)
We study the periodic orbits of the modified Duffing differential equation ¨y + ay − εy3 = εh(y, y˙), with a > 0, ε a small parameter and h a C2 function in its variables.
2013 - 10.1016/j.amc.2012.11.087
Applied Mathematics and Computation, Vol. 219 (2013) , p. 8358-8365  
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170.
11 p, 683.1 KB Generalized Weierstrass integrability of the Abel differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We study the Abel differential equations that admits either a generalized Weierstrass first integral or a generalized Weierstrass inverse integrating factor.
2013 - 10.1007/s00009-013-0266-0
Mediterranean Journal of Mathematics, Vol. 10 Núm. 4 (2013) , p. 1749-1760  
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171.
7 p, 591.8 KB A note on Liouvillian first integrals and invariant algebraic curves / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Grau, Maite (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the existence and non-existence of finite invariant algebraic curves for complex planar polynomial differential system having a Liouvillian first integral.
2013 - 10.1016/j.aml.2012.09.008
Applied mathematics letters, Vol. 26 (2013) , p. 285-289  
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172.
12 p, 379.5 KB Global phase portraits of a SIS model / Oliveira, Regilene (Universidade de Sâo Paulo(Brazil). Departamento de Matemática) ; Rezende, Alex C. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In the qualitative theory of ordinary differential equations, we can find many papers whose objective is the classification of all the possible topological phase portraits of a given family of differential system. [...]
2013 - 10.1016/j.amc.2012.10.090
Applied Mathematics and Computation, Vol. 219 Núm. 9 (2013) , p. 4924-4930  
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173.
26 p, 1.5 MB Fronts propagating with signal dependent speed in limited diffusion and related Hamilton-Jacobi formulations / Serna, Susana (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Marquina, Antonio (Universitat de València. Departament de Matemàtiques)
We consider a class of limited diffusion equations and explore the formation of diffusion fronts as the result of a combination of diffusive and hyperbolic transport. We analyze a new class of Hamilton-Jacobi equations arising from the convective part of general Fokker-Planck equations ruled by a non-negative diffusion coefficient that depends on the unknown and on the gradient of the unknown. [...]
2013 - 10.1016/j.apnum.2012.07.006
Applied Numerical Mathematics, Vol. 73 (2013) , p. 48-62  
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174.
19 p, 311.7 KB Center conditions and cyclicity for a family of cubic systems: computer algebra approach / Fercec, Brigita (University of Maribor(Slovenia).Center for Applied Mathematics and Theoretical Physics) ; Mahdi, Adam (University of North Carolina at Charlotte. Mathematics Department)
Using methods of computational algebra we obtain an upper bound for the cyclicity of a family of cubic systems. To that end we overcome the problem of nonradicality of the associated Bautin ideal by moving from the ring of polynomials to a coordinate ring. [...]
2013 - 10.1016/j.matcom.2013.02.003
Mathematics and computers in simulation, Vol. 87 (2013) , p. 55-67  
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175.
7 p, 316.2 KB On the dynamics of a class of Kolmogorov systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Salhi, Tayeb (Université de Bordj Bou Arréridj(Algeria). Departement de Mathématiques)
2013 - 10.1016/j.amc.2013.09.017
Applied Mathematics and Computation, Vol. 225 (2013) , p. 242-245  
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