Consider a polynominal Li\`enard system depending on three parameters {\itshape a, b, c} ~ and with the following properties: (i) The origin is the unique equilibrium for all parameters. (ii) If{\itshape a} crosses zero, then the origin changes its stability, and a limit cycle bifurcates from the euqilibrium. We inverstigate analytically this bifurcation in dependence on the parameters {\itshape b} and {\itshape c} and establish the existence of families of limit cycles of multiplicity one, two and three bifurcating from the origin
In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcat...
In this paper we outline some methods of finding limit cycles for planar autonomous systems with sma...
Agraïments: The two first authors are partially supported by a FAPESP-BRAZIL grant 2007/07957-8 and ...
Consider a polynominal Liènard system depending on three parameters itshape a, b, c and with the f...
We study a polynomial Liénard system depending on three parameters a, b, c and exhibiting the follow...
We consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated...
AbstractWe consider planar vector fields f(x,y,λ) depending on a three-dimensional parameter vector ...
Using the Andronov-Hopf bifurcation theorem and the Poincaré-Bendixson Theorem, this paper explores ...
In this work we consider the Kolmogorov system of degree 3 in R2 and R3 having an equilibrium point ...
AbstractIn this paper we give an example of a family of polynomial vector fields with three limit cy...
Altres ajuts: Acord transformatiu CRUE-CSICThe present work introduces the problem of simultaneous b...
AbstractIn this paper, we show the combined use of analytical and numerical techniques in the study ...
Agraïments: The second author was partially supported by Program CAPES/DGU Process 8333/13-0 and by ...
AbstractWe investigate the maximal number of limit cycles which appear under perturbations in Hopf b...
In this work we study the periodic orbits which bifurcate from all zero-Hopf bifurcations that an ar...
In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcat...
In this paper we outline some methods of finding limit cycles for planar autonomous systems with sma...
Agraïments: The two first authors are partially supported by a FAPESP-BRAZIL grant 2007/07957-8 and ...
Consider a polynominal Liènard system depending on three parameters itshape a, b, c and with the f...
We study a polynomial Liénard system depending on three parameters a, b, c and exhibiting the follow...
We consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated...
AbstractWe consider planar vector fields f(x,y,λ) depending on a three-dimensional parameter vector ...
Using the Andronov-Hopf bifurcation theorem and the Poincaré-Bendixson Theorem, this paper explores ...
In this work we consider the Kolmogorov system of degree 3 in R2 and R3 having an equilibrium point ...
AbstractIn this paper we give an example of a family of polynomial vector fields with three limit cy...
Altres ajuts: Acord transformatiu CRUE-CSICThe present work introduces the problem of simultaneous b...
AbstractIn this paper, we show the combined use of analytical and numerical techniques in the study ...
Agraïments: The second author was partially supported by Program CAPES/DGU Process 8333/13-0 and by ...
AbstractWe investigate the maximal number of limit cycles which appear under perturbations in Hopf b...
In this work we study the periodic orbits which bifurcate from all zero-Hopf bifurcations that an ar...
In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcat...
In this paper we outline some methods of finding limit cycles for planar autonomous systems with sma...
Agraïments: The two first authors are partially supported by a FAPESP-BRAZIL grant 2007/07957-8 and ...