Organization of chaos

Details Organization of chaos Organization of chaos

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvl..59.1377g&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 59, Sept. 28, 1987, p. 1377-1380. Research supported by the U.S.-Israel Binationa

Mathematics

63

Chaos, Fractals, Hierarchies, Strange Attractors, Hyperbolic Functions, Liapunov Functions, Orbits, Singularity (Mathematics), Thermodynamics

Scientific paper

The organization, encoding, and hierarchical construction of a generic chaotic attractor is presented. A systematic calculation of the multifractal properties is accomplished, and an understanding of the spectrum of singularities is reported. In general, nontrivial phase transitions in the thermodynamic formalism of strange attractors are expected.

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