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Publications Influence

Quantitative universality for a class of nonlinear transformations

- M. Feigenbaum
- Mathematics
- 1 July 1978

AbstractA large class of recursion relationsxn + 1 = λf(xn) exhibiting infinite bifurcation is shown to possess a rich quantitative structure essentially independent of the recursion function. The… Expand

2,712 91- PDF

Local feature analysis: a statistical theory for information representation and transmission

- M. Feigenbaum, P. S. Penev
- Computer Science
- 1998

37 10

Quasiperiodicity in dissipative systems: A renormalization group analysis

- M. Feigenbaum, L. Kadanoff, S. Shenker
- Mathematics
- 1 May 1983

Abstract Dynamical systems with quasiperiodic behavior, i.e., two incommensurate frequencies, may be studied via discrete maps which show smooth continuous invariant curves with irrational winding… Expand

235 5

The onset spectrum of turbulence

- M. Feigenbaum
- Physics
- 10 December 1979

Abstract A general theory for the fluctuation spectrum of the onset of turbulence is developed, applying to systems that approach turbulence through a cascade of subharmonic bifurcations. Applied to… Expand

188 4- PDF

THE METRIC UNIVERSAL PROPERTIES OF PERIOD DOUBLING BIFURCATIONS AND THE SPECTRUM FOR A ROUTE TO TURBULENCE

- M. Feigenbaum
- Physics
- 1 December 1980

The ideas of the metric universal properties of maps on an interval are formally developed and then used to determine some universal aspects of a route to turbulence.

49 3

Scaling spectra and return times of dynamical systems

- M. Feigenbaum
- Physics
- 1 March 1987

The grand canonical version of the spectrum of singularities formalism is presented, relying naturally upon certain Markov transition graphs. The structure of a graph is simply determined by the… Expand

32 1

THE ONSETSPECTRUM OF TURBULENCE

- M. Feigenbaum
- Mathematics
- 1979

A general theory for the fluctuation spectrum of the onset of turbulence is developed,applying to systemsthat approach turbulence through a cascadeof subharmonic bifurcations. Applied to… Expand

4 1

Presentation functions, fixed points, and a theory of scaling function dynamics

- M. Feigenbaum
- Mathematics
- 1 August 1988

Presentation functions provide the time-ordered points of the forward dynamics of a system as successive inverse images. They generally determine objects constructed on trees, regular or otherwise,… Expand

79

Irrational Decimations and Path Integrals for External Noise

- M. Feigenbaum, B. Hasslacher
- Physics
- 30 August 1982

35

Dynamics of Finger Formation in Laplacian Growth Without Surface Tension

- M. Feigenbaum, I. Procaccia, B. Davidovich
- Mathematics, Physics
- 1 August 1999

We study the dynamics of “finger” formation in Laplacian growth without surface tension in a channel geometry (the Saffman–Taylor problem). We present a pedagogical derivation of the dynamics of the… Expand

11- PDF

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