Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Pierre Joyal"'
Autor:
Pierre Joyal
Publikováno v:
Electronic Journal of Differential Equations, Vol 1998, Iss 23, Pp 1-8 (1998)
We show that the Poincar'e-Lyapunov polynomials at a focus of a family of real polynomial vector fields of degree $n$ on the plane are invariant under the group of rotations. Furthermore, we show that under the multiplicative group ${Bbb C}^*={ ho {
Externí odkaz:
https://doaj.org/article/bfa04e593de54dba8533f1f76db600ff
Autor:
Pierre Joyal
Publikováno v:
Ergodic Theory and Dynamical Systems. 14:305-329
In this article, we prove a preparation theorem for functions which admit a certain type of expansion called Chebychev expansion. Taylor expansions are particular cases of Chebychev expansions. The result is based on an approach essentially different
Autor:
Jacques Blain, Josée Charbonneau, Léon-Étienne Parent, André Gosselin, Rock Ouimet, Pierre Joyal
Publikováno v:
Canadian Journal of Plant Science. 70:585-590
A large-fruited greenhouse tomato cultivar (Lycopersicon esculentum Mill. ’Dombello’) was grown in 12-, 24- and 36-L bags containing three types of peat:perlite substrates (85:15, 70:30 and 55:45, vol:vol). The control consisted of 36-L bags cont
Autor:
Pierre Joyal
Publikováno v:
SIAM Journal on Applied Mathematics. 48:481-496
We show the duality between the generalized Hopf bifurcation (GHB) and the generalized homoclinic bifurcation (GHB*). This duality is twofold: (1) the Poincare normal forms at a weak focus and at a weak saddle, (2) the bifurcation diagrams of the GHB
Autor:
Pierre Joyal, Christiane Rousseau
Publikováno v:
Journal of Differential Equations. (2):374-399
In this paper we make the connection between the theoretical study of the generalized homoclinic loop bifurcation (GHB ∗ ) and the practical computational aspects. For this purpose we first compare the Dulac normal form with the Joyal normal form.
Autor:
Pierre Joyal
Publikováno v:
Journal of Differential Equations. (1):1-14
We study the bifurcation diagram of the family ẋ = y ẏ = x2 + λ0 + λ1 y + λ2xy + λ3x3y + ··· ± xly, where l = [3(n − 1)2] (n⩾2) and λi is small. When l = 1, it corresponds to the Bogdanov-Takens bifurcation.
Autor:
Jean-Pierre Joyal
Publikováno v:
Ethnologies. 3:158