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Resultats globals: 5 registres trobats en 0.03 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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21 p, 356.4 KB

Local cyclicity in low degree planar piecewise polynomial vector fields / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector ﬁelds deﬁned in two zones separated by a straight line. In particular, in the number of limit cycles of small amplitude. [...]
2021 - DOI (Digital Object Identifier)

10.1016/j.nonrwa.2020.103278
Nonlinear Analysis: Real World Applications, Vol. 60 (August 2021) , art. 103278

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7 p, 237.2 KB

24 crossing limit cycles in only one nest for piecewise cubic systems / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, we are interested in crossing limit cycles surrounding only one equilibrium point or a sliding segment. The studied systems are piecewise cubic polynomial defined in two zones separated by a straight line. [...]
2020 - DOI (Digital Object Identifier)

10.1016/j.aml.2019.106189
Applied Mathematics Letters, Vol. 103 (May 2020) , art. 106189

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12 p, 332.3 KB

Weak-foci of high order and cyclicity / Liang, Haihua (Guangdong Polytechnic Normal University(China). Department of Computer Science) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A particular version of the 16th Hilbert's problem is to estimate the number, M(n), of limit cycles bifurcating from a singularity of center-focus type. This paper is devoted to finding lower bounds for M(n) for some concrete n by studying the cyclicity of different weak-foci. [...]
2016 - DOI (Digital Object Identifier)

10.1007/s12346-016-0189-9
Qualitative theory of dynamical systems, 2016

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18 p, 697.9 KB

Center conditions for a class of planar rigid polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rabanal, Roland (Pontificia Universidad Católica del Perú. Departamento de Ciencias)
In general the center-focus problem cannot be solved, but in the case that the singularity has purely imaginary eigenvalues there are algorithms to solving it. The present paper implements one of these algorithms for the polynomial diﬀerential systems of the form x = −y + xf (x)g(y), y = x + yf (x)g(y), where f (x) and g(y) are arbitrary polynomials. [...]
2015 - DOI (Digital Object Identifier)

10.3934/dcds.2015.35.1075
Discrete and continuous dynamical systems. Series A, Vol. 35 Núm. 3 (2015) , p. 1075-1090

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