Showing papers by "David Ruelle published in 1978"
TL;DR: In this article, it was shown that by a smallC 2 ∞ perturbation of a quasiperiodic flow on the 3-torus (m>3), one can produce strange AxiomA attractors.
Abstract: It is shown that by a smallC
2 (resp.C
∞) perturbation of a quasiperiodic flow on the 3-torus (resp. them-torus,m>3), one can produce strange AxiomA attractors. Ancillary results and physical interpretation are also discussed.
679 citations
458 citations
Book•
01 Jan 1978
TL;DR: In this paper, the authors present a book aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, and the study of differentiable dynamical systems, notably Anosov diffeomorphisms and flows.
Abstract: This book is aimed at mathematicians interested in such topics as ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics The level of the presentation is generally an advanced one, with the objective of providing an efficient research tool and a text for use in graduate teaching
378 citations
38 citations
TL;DR: In this article, the authors implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).
Abstract: © Publications mathématiques de l’I.H.É.S., 1978, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » ( http://www. ihes.fr/IHES/Publications/Publications.html), implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). 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.
10 citations
TL;DR: In this paper, the authors define the conditions generales d'utilisation of commercial or impression systematique as constitutive of an infraction penale, i.e., the copie ou impression de ce fichier doit contenir la presente mention de copyright.
Abstract: © Publications mathematiques de l’I.H.E.S., 1978, tous droits reserves. L’acces aux archives de la revue « Publications mathematiques de l’I.H.E.S. » (http://www. ihes.fr/IHES/Publications/Publications.html), implique l’accord avec les conditions generales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systematique est constitutive d’une infraction penale. Toute copie ou impression de ce fichier doit contenir la presente mention de copyright.
5 citations