We consider a generalized pendulum equation depending on the scalar parameter $\mu$ having for $\mu=0$ a limit cycle $\Gamma$ of the second kind and of multiplicity three. We study the bifurcation behavior of $\Gamma$ for $-1 \le \mu \le (\sqrt{5}+3)/2$ by means of a Dulac-Cherkas function
In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcat...
22 pages, 30 réf.We illustrate with several new applications the power and elegance of the Bendixson...
Determining the number of limit cycles of a planar differential system is related to the second part...
We consider a generalized pendulum equation depending on the scalar parameter $\mu$ having for $\mu...
Consider a class of planar autonomous differential systems with cylindric phase space which represen...
International audienceWe study the number of limit cycles and the bifurcation diagram in the Poincar...
We present a new approach for the global bifurcation analysis of limit cycles for a generalized van ...
Dulac-Cherkas functions can be used to derive an upper bound for the number of limit cycles of plana...
Dulac-Cherkas functions can be used to derive an upper bound for the number of limit cycles of plana...
AbstractThe paper treats multiple limit cycle bifurcations in singular perturbation problems of plan...
Consider the class of planar systems $$\frac{dx}{dt} = y, \quad \frac{dy}{dt} = -x + \mu \sum_{j=0}^...
In this article, using multi-parameter perturbation theory and qualitative analysis, the authors stu...
We present a new approach to study limit cycles of planar systems of autonomous differential equatio...
AbstractIn this paper we study a generalized Gause model with prey harvesting and a generalized Holl...
Abstract. In this paper we study a generalized Gause model with prey harvesting and a generalized Ho...
In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcat...
22 pages, 30 réf.We illustrate with several new applications the power and elegance of the Bendixson...
Determining the number of limit cycles of a planar differential system is related to the second part...
We consider a generalized pendulum equation depending on the scalar parameter $\mu$ having for $\mu...
Consider a class of planar autonomous differential systems with cylindric phase space which represen...
International audienceWe study the number of limit cycles and the bifurcation diagram in the Poincar...
We present a new approach for the global bifurcation analysis of limit cycles for a generalized van ...
Dulac-Cherkas functions can be used to derive an upper bound for the number of limit cycles of plana...
Dulac-Cherkas functions can be used to derive an upper bound for the number of limit cycles of plana...
AbstractThe paper treats multiple limit cycle bifurcations in singular perturbation problems of plan...
Consider the class of planar systems $$\frac{dx}{dt} = y, \quad \frac{dy}{dt} = -x + \mu \sum_{j=0}^...
In this article, using multi-parameter perturbation theory and qualitative analysis, the authors stu...
We present a new approach to study limit cycles of planar systems of autonomous differential equatio...
AbstractIn this paper we study a generalized Gause model with prey harvesting and a generalized Holl...
Abstract. In this paper we study a generalized Gause model with prey harvesting and a generalized Ho...
In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcat...
22 pages, 30 réf.We illustrate with several new applications the power and elegance of the Bendixson...
Determining the number of limit cycles of a planar differential system is related to the second part...
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