Da Cruz, Leonardo Pereira Costa - Resultats de la cerca - Dipòsit Digital de Documents de la UAB

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Resultats globals: 5 registres trobats en 0.04 segons.
Articles, 5 registres trobats

Articles	5 registres trobats

17 p, 468.6 KB

Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line / Da Cruz, Leonardo Pereira Costa (Departamento de Matemática. Universidade Federal de São Carlos) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also a straight line which is not invariant. [...]
2022 - DOI (Digital Object Identifier)

10.1016/j.jmaa.2022.126256
Journal of mathematical analysis and applications, Vol. 514, Issue 1 (October 2022) , art. 126256

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22 p, 1.3 MB

A Bendixson-Dulac theorem for some piecewise systems / Da Cruz, Leonardo Pereira Costa (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The Bendixson-Dulac Theorem provides a criterion to find upper bounds for the number of limit cycles in analytic differential systems. We extend this classical result to some classes of piecewise differential systems. [...]
2020 - DOI (Digital Object Identifier)

10.1088/1361-6544/ab6812
Nonlinearity, Vol. 33, Num. 5 (May 2020) , p. 2455-2480

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20 p, 619.5 KB

The center and cyclicity problems for quartic linear-like reversible systems / Da Cruz, Leonardo Pereira Costa (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Romanovski, Valery G. (University of Maribor. Center for Applied Mathematics and Theoretical Physics (Slovenia)) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study a family of quartic linear-like reversible polynomial systems having a nondegenerate center at the origin. This family has degree one with respect to one of the variables. We are interested in systems in this class having two extra nondegenerate centers outside the straight line of symmetry. [...]
2020 - DOI (Digital Object Identifier)

10.1016/j.na.2019.111593
Nonlinear Analysis : Theory, Methods and Applications, Vol. 190 (January 2020) , art. 111593

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29 p, 594.7 KB

New lower bound for the Hilbert number in piecewise quadratic differential systems / Da Cruz, Leonardo Pereira Costa (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas (Brasil). Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the number of limit cycles bifurcating from a piecewise quadratic system. All the differential systems considered are piecewise in two zones separated by a straight line. We prove the existence of 16 crossing limit cycles in this class of systems. [...]
2019 - DOI (Digital Object Identifier)

10.1016/j.jde.2018.09.032
Journal of differential equations, Vol. 266, Núm. 7 (March 2019) , p. 4170-4203

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26 p, 687.0 KB

Simultaneous bifurcation of limit cycles from a cubic piecewise center with two period annuli / Da Cruz, Leonardo Pereira Costa (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the number of periodic orbits that bifurcate from a cubic polynomial vector field having two period annuli via piecewise perturbations. The cubic planar system (x',y')= (-y((x-1)² + y²),x((x-1)² + y²) has simultaneously a center at the origin and at infinity. [...]
2018 - DOI (Digital Object Identifier)

10.1016/j.jmaa.2017.12.072
Journal of mathematical analysis and applications, Vol. 461, issue 1 (May 2018) , p. 248-272

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