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Artículos, Encontrados 54 registros
Artículos Encontrados 54 registros  1 - 10siguientefinal  ir al registro:
1.
7 p, 289.7 KB A remark on first integrals of vector fields / Belotto da Silva, André (Université de Paris, Institut de Mathématiques de Jussieu Paris Rive Gauche) ; Klimeš, Martin (University of Zagreb. Faculty of Electrical Engineering and Computing) ; Rebelo, Julio (Institut de Mathématiques de Toulouse) ; Reis, Helena (Universidade do Porto. Centro de Matemática)
We provide examples of vector fields on (C3 , 0) admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by D. Cerveau and motivated by the celebrated theorems of Malgrange and Mattei-Moussu.
2024 - 10.5565/PUBLMAT6812405
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 103-109 (Articles)  
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2.
11 p, 296.4 KB On the Periodic Orbits of the Perturbed Two- and Three-Body Problems / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics. Astronomy Department (Egypt)) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies. Thus, we have proved that the first and second types of periodic orbits of the rotating Kepler problem can persist for all perturbed two-body and circular restricted three-body problems when the perturbation forces are conservative or the perturbed motion has its own extended Jacobian integral.
2023 - 10.3390/galaxies11020058
Galaxies, Vol. 11, Issue 2 (April 2023) , art. 58  
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3.
33 p, 842.3 KB Complete integrability of vector fields in RN / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ramírez, Rafael Orlando (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Ramírez, Valentín (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We give necessary and sufficient conditions for the complete integrability of first order N-dimensional differential systems. We propose a new method to determine in the Jacobi Theorem the last N−1 first integral for the complete integrability of an N-dimensional differential system with N−2 independent first integrals and with a Jacobi multiplier. [...]
2021 - 10.1016/j.geomphys.2021.104308
Journal of geometry and physics, Vol. 168 (October 2021) , art. 104308  
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4.
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 documentos
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5.
15 p, 305.8 KB Integrability and linearizability of a family of three-dimensional quadratic systems / Aziz, Waleed (Salahaddin University-Erbil. Department of Mathematics (Iraq)) ; Amen, Azad (University of Raparin. College of Basic Education (Iraq)) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We consider a three-dimensional vector field with quadratic nonlinearities and in general none of the axis plane is invariant. For our investigation, we are interesting in the case of (Formula presented. [...]
2021 - 10.1080/14689367.2021.1893661
Dynamical Systems, Vol. 36, Issue 2 (2021) , p. 317-331  
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6.
18 p, 698.2 KB The center problem for the class of Λ- Ω differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ramírez, Rafael Orlando (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Ramírez, Valentín (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The center problem, i. e. distinguish between a focus and a center, is a classical problem in the qualitative theory of planar differential equations which go back to Darboux, Poincaré and Liapunov. [...]
2020 - 10.1007/s12215-020-00568-5
Rendiconti del Circolo Matematico di Palermo, vol. 70 (October 2020) p. 1483-1499  
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7.
11 p, 320.0 KB A new algorithm for finding rational first integrals of polynomial vector fields / Ferragut Amengual, Antoni Manel (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Centre National de la Recherche Scientifique (França))
We present a new method to compute rational first integrals of planar polynomial vector fields. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated to the rational first integral of the system.
2010 - 10.1007/s12346-010-0021-x
Qualitative theory of dynamical systems, Vol. 9, Issue 1-2 (November 2010) , p. 89-99  
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8.
17 p, 1.6 MB Global dynamics and bifurcation of periodic orbits in a modified Nosé-Hoover oscillator / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Messias, Marcelo (Universidade Estadual Paulista. Departamento de Matemática e Computação (Brazil)) ; Reinol, Alisson C. (Universidade Tecnológica Federal do Paraná. Departamento Acadêmico de Matemática (Brazil))
We perform a global dynamical analysis of a modified Nosé-Hoover oscillator, obtained as the perturbation of an integrable differential system. Using this new approach for studying such an oscillator, in the integrable cases, we give a complete description of the solutions in the phase space, including the dynamics at infinity via the Poincaré compactification. [...]
2020 - 10.1007/s10883-020-09491-5
Journal of Dynamical and Control Systems, vol. 17 (June 2020) p. 491-506  
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9.
26 p, 801.4 KB Integrability of a class of N-dimensional Lotka-Volterra and Kolmogorov systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ramírez, Rafael Orlando (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Ramírez, Valentín (Universitat Autònoma de Barcelona)
We study the integrability of an N-dimensional differential Kolmogorov systems of the form ̇xj=xj(aj+N∑k=1ajkxk)+xjΨ(x1,. . . ,xN), j= 1,. . . ,N, where aj, and ajk are constants for j,k = 1,. . . [...]
2020 - 10.1016/j.jde.2020.02.001
Journal of differential equations, Vol. 269, Issue 3 (July 2020) , p. 2503-2531  
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10.
8 p, 714.8 KB Rational first integrals in the Darboux theory of integrability in Cn / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics (China))
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vector field in Rn or Cn of degree d is at least (d + n/n− 1) + n, then the vector field has a rational first integral. [...]
2010 - 10.1016/j.bulsci.2007.12.001
Bulletin des Sciences Mathematiques, Vol. 134, Issue 2 (March 2010) , p. 189-195  
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Artículos : Encontrados 54 registros   1 - 10siguientefinal  ir al registro:
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