D Euzébio, Rodrigo - Search Results - UAB Digital Repository of Documents

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Articles, 5 records found

Articles	5 records found

11 p, 698.6 KB

Zero-Hopf bifurcation in a Chua system / D. Euzébio, Rodrigo (Universidade Estadual Paulista (Brasil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A zero-Hopf equilibrium is an isolated equilibrium point whose eigenvalues are ±ωi ̸= 0 and 0. In general for a such equilibrium there is no theory for knowing when it bifurcates some small-amplitude limit cycles moving the parameters of the system. [...]
2017 - DOI (Digital Object Identifier)

10.1016/j.nonrwa.2017.02.002
Nonlinear Analysis: Real World Applications, Vol. 37 (2017) , p. 31-40

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19 p, 777.2 KB

Periodic solutios of El niño model thorugh the Vallis differential system / D. Euzébio, Rodrigo (UNESP(Brazil). Departament de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
By rescaling the variables, the parameters and the periodic function of the Vallis differential system we provide sufficient conditions for the existence of periodic solutions and we also characterize their kind of stability. [...]
2014 - DOI (Digital Object Identifier)

10.3934/dcds.2014.34.3455
Discrete and continuous dynamical systems. Series A, Vol. 34 Núm. 9 (2014) , p. 3455-3469

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15 p, 712.5 KB

Zero-Hopf bifurcation in the Fitzhugh-Nagumo system / D. Euzébio, Rodrigo (UNESP(Brazil). Departament de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Vidal, Claudio (Universidad del Bio Bio(Chile). Departamento de Matemática)
We characterize the values of the parameters for which a zero-Hopf equilibrium point takes place at the singular points, namely, O (the origin), P+ and P− in the FitzHugh-Nagumo system. Thus we find two 2-parameter families of the FitzHugh-Nagumo system for which the equilibrium point at the origin is a zero-Hopf equilibrium. [...]
2014 - DOI (Digital Object Identifier)

10.1002/mma.3365
Mathematical methods in the applied sciences, 2014

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17 p, 673.1 KB

On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line / D. Euzébio, Rodrigo (IBILCE(Brazil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 ≤ N ≤ 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity.
2015 - DOI (Digital Object Identifier)

10.1016/j.jmaa.2014.10.077
Journal of mathematical analysis and applications, Vol. 424 (2015) , p. 475-486

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11 p, 325.5 KB

Detecting periodic orbits in some 3d chaotic quadratic polynomial differential systems / de Carvalho, Tiago (Faculdade de Ciências. Departamento de Matemática) ; D. Euzébio, Rodrigo (IMECC-UNICAMP. Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; J. Tonon, Durval (Universidade Federal de Goias (Brazil))
Using the averaging theory we study the periodic solutions and their linear stability of the 3-dimensional chaotic quadratic polynomial differential systems without equilibria studied in [3]. All these differential systems depend only on one-parameter.
2015 - DOI (Digital Object Identifier)

10.3934/dcdsb.2016.21.1
Discrete and continuous dynamical systems. Series B, Vol. 21 Núm. 1 (2015) , p. 1-11

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