Topic
Bifurcation diagram
About: Bifurcation diagram is a research topic. Over the lifetime, 8379 publications have been published within this topic receiving 139664 citations.
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TL;DR: In this paper, the conditions générales d'utilisation (http://www.compositio.org/conditions) of the agreement with the Foundation Compositio Mathematica are described.
Abstract: © Foundation Compositio Mathematica, 1995, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
116 citations
116 citations
TL;DR: A general bifurcation theorem for potential operators is proved in this article, which describes the possible behavior of the set of solutions of an operator equation as a function of the eigenvalue parameter in a neighborhood of the bifurlcation point.
116 citations
TL;DR: In this paper, a new hyperchaotic system by introducing an additional state feedback into a three-dimensional quadratic chaotic system is presented. But the system only has one equilibrium, but it can evolve into periodic, quasi-periodic, chaotic and hyperchaotics.
115 citations
TL;DR: In this paper, the authors prove Hopf bifurcation and center manifold theorems for functional differential equations of mixed type and apply them to the dynamic behavior of a competitive economy.
Abstract: We prove Hopf bifurcation and center manifold theorems for functional differential equations of mixed type. An application to the dynamic behavior of a competitive economy (business cycle) is provided.
115 citations