Roundoff-induced periodicity and the correlation dimension of chaotic attractors

Details Roundoff-induced periodicity and the correlation dimension of chaotic attractors Roundoff-induced periodicity and the correlation dimension of chaotic attractors

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrva..38.3688g&link_type=abstract

Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 38, Oct. 1, 1988, p. 3688-3692. DARPA-Navy-supported rese

Mathematics

Probability

35

Chaos, Computerized Simulation, Periodic Functions, Strange Attractors, Conformal Mapping, Correlation, Laser Cavities, Probability Distribution Functions

Scientific paper

Due to roundoff, digital computer simulations of orbits on chaotic attractors will always eventually become periodic. The expected period, probability distribution of periods, and expected number of periodic orbits are investigated for the case of fractal chaotic attractors. The expected period scales with roundoff epsilon as epsilon exp-d/2, where d is the correlation dimension of the chaotic attractor.

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