Add to ORKGWe 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. If we denote by H (n) the extension of the Hilbert number to degree n piecewise polynomial differential systems, then H (2)≥16. As fas as we are concerned, this is the best lower bound for the quadratic class. Moreover, in the studied cases, all limit cycles appear nested bifurcating from a period annulus of a isochronous quadratic center
In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of th...
In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of th...
The Bendixson-Dulac Theorem provides a criterion to find upper bounds for the number of limit cycles...
We study the number of limit cycles bifurcating from a piecewise quadratic system. All the different...
We study the number of limit cycles bifurcating from a piecewise quadratic system. All the different...
We provide the maximum number of limit cycles of some classes of discontinuous piecewise differentia...
First, we study the planar continuous piecewise differential systems separated by the straight line ...
The extension of the 16th Hilbert problem to discontinuous piecewise linear differential systems ask...
In this paper, we deal with discontinuous piecewise differential systems formed by two differential ...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
Altres ajuts: Consejería de Economía y Conocimiento de la Junta de Andalucía under grant P12-FQM-165...
The second part of the Hilbert's sixteenth problem consists in determining the upper bound $\mathcal...
In this paper we deal with 3-dimensional discontinuous piecewise differential systems formed by line...
The problem of determining the existence, maximum number and positions of the limit cycles of the pl...
El títol de la versió pre-print de l'article és: On the number of limit cycles of the differential e...
In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of th...
In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of th...
The Bendixson-Dulac Theorem provides a criterion to find upper bounds for the number of limit cycles...
We study the number of limit cycles bifurcating from a piecewise quadratic system. All the different...
We study the number of limit cycles bifurcating from a piecewise quadratic system. All the different...
We provide the maximum number of limit cycles of some classes of discontinuous piecewise differentia...
First, we study the planar continuous piecewise differential systems separated by the straight line ...
The extension of the 16th Hilbert problem to discontinuous piecewise linear differential systems ask...
In this paper, we deal with discontinuous piecewise differential systems formed by two differential ...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
Altres ajuts: Consejería de Economía y Conocimiento de la Junta de Andalucía under grant P12-FQM-165...
The second part of the Hilbert's sixteenth problem consists in determining the upper bound $\mathcal...
In this paper we deal with 3-dimensional discontinuous piecewise differential systems formed by line...
The problem of determining the existence, maximum number and positions of the limit cycles of the pl...
El títol de la versió pre-print de l'article és: On the number of limit cycles of the differential e...
In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of th...
In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of th...
The Bendixson-Dulac Theorem provides a criterion to find upper bounds for the number of limit cycles...