David Ruelle
Rutgers University
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Publication
Featured researches published by David Ruelle.
EPL | 1987
J-P Eckmann; S. Oliffson Kamphorst; David Ruelle
A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples.
international symposium on physical design | 1992
Jean-Pierre Eckmann; David Ruelle
We show that values of the correlation dimension estimated over a decade from the Grassberger-Procaccia algorithm cannot exceed the value 2 log10N if N is the number of points in the time series. When this bound is saturated it is thus not legitimate to conclude that low dimensional dynamics is present. The estimation of Lyapunov exponents is also discussed.
Communications in Mathematical Physics | 1978
S. Newhouse; David Ruelle; Floris Takens
It is shown that by a smallC2 (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.
Publications Mathématiques de l'IHÉS | 1979
David Ruelle
Iff is a C1 + ɛ diffeomorphism of a compact manifold M, we prove the existence of stable manifolds, almost everywhere with respect to everyf-invariant probability measure on M. These stable manifolds are smooth but do not in general constitute a continuous family. The proof of this stable manifold theorem (and similar results) is through the study of random matrix products (multiplicative ergodic theorem) and perturbation of such products.
Inventiones Mathematicae | 1975
Rufus Bowen; David Ruelle
Let M be a compact (Riemann) manifold and (f t ): M → M a differentiable flow. A closed (f t )-invariant set ∧ ⊂ M containing no fixed points is hyperbolic if the tangent bundle restricted to ∧ can be written as the Whitney sum of three (Tf t )-invariant continuous subbundles
American Journal of Mathematics | 1976
David Ruelle
Communications in Mathematical Physics | 1970
David Ruelle
{T_\Lambda }M = E + {E^s} + {E^u}
Communications in Mathematical Physics | 1968
David Ruelle
Ergodic Theory and Dynamical Systems | 1982
David Ruelle
where E is the one-dimensional bundle tangent to the flow, and there are constants c λ>0 so that
Journal of Statistical Physics | 1999
David Ruelle