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We discuss theoretical and experimental approaches to three distinct
developmental systems that illustrate how theory can influence experimental work
and vice-versa. The chosen systems – Drosophila melanogaster,
bacterial pattern formation, and pigmentation patterns – illustrate the
fundamental physical processes of signaling, growth and cell division, and cell
movement involved in pattern formation and development. These systems exemplify
the current state of theoretical and experimental understanding...
In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.
L'usage croissant des analyses multivariées modifie la méthode de plusieurs sciences sociales. Le débat sur leur validité est toutefois assez confus car des questions de pure mathématique se mélangent à des problèmes perceptifs (représentation) et logiques (modélisation). Nous n'avons actuellement ni les moyens ni l'ambition d'aborder théoriquement leur statut, mais nous pensons fournir un document utile au débat en appliquant la majorité des méthodes à un même objet déjà connu et en comparant leur...
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