Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Ergodic theory of chaos and strange attractors

- J. Eckmann, D. Ruelle
- Physics
- 1 July 1985

Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the onset of chaos has been achieved, using as a mathematical tool the… Expand

4,196 180- PDF

Recurrence Plots of Dynamical Systems

- J. Eckmann, S. O. Kamphorst, D. Ruelle
- Mathematics
- 1 November 1987

A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples.

2,424 149

Iterated maps on the interval as dynamical systems

- P. Collet, J. Eckmann
- Mathematics
- 1980

Motivation and Interpretation.- One-Parameter Families of Maps.- Typical Behavior for One Map.- Parameter Dependence.- Systematics of the Stable Periods.- On the Relative Frequency of Periodic and… Expand

1,497 67

A global attracting set for the Kuramoto-Sivashinsky equation

- P. Collet, J. Eckmann, H. Epstein, J. Stubbe
- Mathematics
- 1 February 1993

AbstractNew bounds are given for the L2-norm of the solution of the Kuramoto-Sivashinsky equation
$$\partial _t U(x,t) = - (\partial _x^2 + \partial _x^4 )U(x,t) - U(x,t)\partial _x U(x,t)$$
, for… Expand

149 26- PDF

Entropy of dialogues creates coherent structures in e-mail traffic.

- J. Eckmann, E. Moses, D. Sergi
- Computer Science, Medicine
- Proceedings of the National Academy of Sciences…
- 5 October 2004

TLDR

378 20- PDF

Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems

- J. Eckmann, D. Ruelle
- Mathematics
- 1 May 1992

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.… Expand

595 12

Roads to turbulence in dissipative dynamical systems

- J. Eckmann
- Physics
- 1 October 1981

Three scenarios leading to turbulence in theory and experiment are outlined. The respective mathematical theories are explained and compared.

670 12

A computer-assisted proof of universality for area-preserving maps

- J. Eckmann, H. Koch, P. Wittwer
- Mathematics
- 1984

I. Analysis of doubling: Feigenbaum universality for area-preserving maps Generating functions Further reduction of the problem Spectral properties Constructions of the operator $L$ Construction of… Expand

102 12

The topological relationship between the large-scale attributes and local interaction patterns of complex networks

- A. Vázquez, R. Dobrin, D. Sergi, J. Eckmann, Z. Oltvai, A. Barabási
- Computer Science, Physics
- Proceedings of the National Academy of Sciences…
- 19 August 2004

TLDR

282 11- PDF

Using Curvature and Markov Clustering in Graphs for Lexical Acquisition and Word Sense Discrimination

- B. Dorow, D. Widdows, Katarina Ling, J. Eckmann, D. Sergi, E. Moses
- Computer Science, Physics
- 29 March 2004

TLDR

86 11- PDF

...

1

2

3

4

5

...