Per citar aquest document: http://ddd.uab.cat/record/150734
Scopus: 22 cites,
Limit cycles for discontinuous quadratic differential systems with two zones
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mereu, Ana Cristina (UFSCar(Brazil). Department of Physics, Chemistry and Mathematics)

Data: 2014
Resum: In this paper we study the maximum number of limit cycles given by the averaging theory of first order for discontinuous differential systems, which can bifurcate from the periodic orbits of the quadratic isochronous centers ˙x = −y + x2, ˙y = x + xy and ˙x = −y + x2 − y2, y˙ = x + 2xy when they are perturbed inside the class of all discontinuous quadratic polynomial differential systems with the straight line of discontinuity y = 0. Comparing the obtained results for the discontinuous with the results for the continuous quadratic polynomial differential systems, this work shows that the discontinuous systems have at least 3 more limit cycles surrounding the origin than the continuous ones.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; preprint
Matèria: Limit cycles ; Discontinuous quadratic systems ; Averaging theory ; Isochronous center
Publicat a: Journal of Mathematical Analysis and Applications, Vol. 413 Núm. 2 (2014) , p. 763-775, ISSN 0022-247X

DOI: 10.1016/j.jmaa.2013.12.031


14 p, 650.4 KB

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Documents de recerca > Documents dels grups de recerca de la UAB > Centres i grups de recerca (producció científica) > Ciències > GSD (Grup de sistemes dinàmics)
Articles > Articles de recerca
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