STATISTICAL ANALYSIS OF A DETERMINISTIC STOCHASTIC ORBIT

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Description

If the solution of a deterministic equation is stochastic (in the sense of orbital instability), it can be subjected to a statistical analysis. This is illustrated for a coded orbit of the Chirikov mapping. Statistical dependence and the Markov assumption are tested. The Kolmogorov-Sinai entropy is related to the probability distribution for the orbit.

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Kaufman, Allan N.; Abarbanel, Henry D.I. & Grebogi, Celso May 1, 1980.

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Description

If the solution of a deterministic equation is stochastic (in the sense of orbital instability), it can be subjected to a statistical analysis. This is illustrated for a coded orbit of the Chirikov mapping. Statistical dependence and the Markov assumption are tested. The Kolmogorov-Sinai entropy is related to the probability distribution for the orbit.

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  • International Conference on Plasma Physics, Nagoya, Japan, April 7-11, 1980

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  • Report No.: LBL-10903
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 1070012
  • Archival Resource Key: ark:/67531/metadc834206

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  • May 1, 1980

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  • May 19, 2016, 9:45 a.m.

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  • June 16, 2016, 12:57 p.m.

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Kaufman, Allan N.; Abarbanel, Henry D.I. & Grebogi, Celso. STATISTICAL ANALYSIS OF A DETERMINISTIC STOCHASTIC ORBIT, article, May 1, 1980; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc834206/: accessed September 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.