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Depósito Digital de Documentos de la UAB Encontrados 4 registros  La búsqueda tardó 0.01 segundos. 
1.
24 p, 376.6 KB Three-dimensional Lotka-Volterra systems with 3:−1:2-Resonance / Aziz, Waleed (Tishk International University. Information Technology Department (Iraq)) ; Christopher, Colin (Plymouth University. School of Engineering, Computing and Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We study the local integrability at the origin of a nine-parameter family of three-dimensional Lotka-Volterra differential systems with (3:− 1:2)-resonance. We give necessary and sufficient conditions on the parameters of the family that guarantee the existence of two independent local first integrals at the origin of coordinates. [...]
2021 - 10.1007/s00009-021-01809-2
Mediterranean Journal of Mathematics, Vol. 18, Issue 4 (August 2021) , art. 167  
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2.
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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3.
15 p, 436.8 KB Centers of quasi-homogeneous polynomial differential equations of degree three / Aziz, Waleed (Salahaddin University-Hawler(Iraq). Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order.
2014 - 10.1016/j.aim.2013.12.006
Advances in mathematics, Vol. 254 (2014) , p. 233-250  
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4.
12 p, 367.5 KB On the integrability of some three-dimensional Lotka-Volterra equations with rank-1 resonances / Aziz, Waleed (University of Salahaddin. Department of Mathematics) ; Christopher, Colin (Plymouth University. School of Computing and Mathematics)
We investigate the local integrability in C3 of some three-dimensional Lotka-Volterra equations at the origin with (p : q : r)-resonance, x˙ = P = x(p + ax + by + cz), y˙ = Q = y(q + dx + ey + fz), z˙ = R = z(r + gx + hy + kz). [...]
2014 - 10.5565/PUBLMAT_Extra14_02
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 37-48  
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