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Articles, 2 records found
Articles 2 records found  
1.
19 p, 407.9 KB On the global flow of a 3--dimensional Lotka--Volterra system / Alavez-Ramírez, Justino (UJAT(México). División Académica de Ciencias Básicas) ; Blé, Gamaliel (UJAT(México). División Académica de Ciencias Básicas) ; Castellanos, Víctor (UJAT(México). División Académica de Ciencias Básicas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In the study of the black holes with Higgs field appears in a natural way the Lotka-Volterra differential system x˙= x(y − 1), y˙= y(1 + y − 2x2 − z2), z˙= zy, in R3. Here we provide the qualitative analysis of the flow of this system describing the α-limit set and the ω-limit set of all orbits of this system in the whole Poincar'e ball, i. [...]
2012 - 10.1016/j.na.2012.03.002
Nonlinear Analysis : Theory, Methods and Applications, Vol. 75 (2012) , p. 4114-4125  
2.
19 p, 720.6 KB On the maximum number of limit cycles of a class of generalized Liénard differential systems / Alavez-Ramírez, Justino (UJAT(México). Division Académica de Ciencias Básicas) ; Blé, Gamaliel (UJAT(México). Division Académica de Ciencias Básicas) ; López-López, Jorge (UJAT(México). Division Académica de Ciencias Básicas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Applying the averaging theory of first, second and third order to one class generalized polynomial Li'enard differential equations, we improve the known lower bounds for the maximum number of limit cycles that this class can exhibit.
2012 - 10.1142/S0218127412500630
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 22 Núm. 3 (2012) , p. 1250063  

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