97 citations · 684 across the 20 of their papers we have counts for
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chao-dyn1997★ 26 cited
Improving a method for the study of limit cycles of the Lienard equation
Hector Giacomini, Sebastien Neukirch
In recent papers we have introduced a method for the study of limit cycles of the Lienard system: dot{x}=y-F(x), dot{y}=-x, where F(x) is an odd polynomial. The method gives a sequ…
chao-dyn1997★ 19 cited
Algebraic approximations to bifurcation curves of limit cycles for the Lienard equation
Hector Giacomini, Sebastien Neukirch
In this paper, we study the bifurcation of limit cycles in Lienard systems of the form dot(x)=y-F(x), dot(y)=-x, where F(x) is an odd polynomial that contains, in general, several…
chao-dyn1997★ 47 cited
Integrals of motion and the shape of the attractor for the Lorenz model
Hector Giacomini, Sebastien Neukirch
In this paper, we consider three-dimensional dynamical systems, as for example the Lorenz model. For these systems, we introduce a method for obtaining families of two-dimensional…