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• W2328268181 abstract "We derive exact expressions for the autocorrelation and cross-correlation functions of wave forms generated by two exactly solvable chaotic systems. For each system, an analytic expression exists for chaotic solutions, which we use to evaluate correlation integrals explicitly. For some specific parameter values, we calculate the mean and variance of the correlation functions averaged over all possible solutions. The mean autocorrelation is shown to decay at a rate equal to the Kolmogorov-Sinai entropy. All derived results are shown to agree with numerical calculations of the corresponding quantities." @default.
• W2328268181 created "2016-06-24" @default.
• W2328268181 creator A5005285501 @default.
• W2328268181 creator A5038175328 @default.
• W2328268181 date "2013-08-12" @default.
• W2328268181 modified "2023-10-17" @default.
• W2328268181 title "Correlation properties of exactly solvable chaotic oscillators" @default.
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• W2328268181 doi "https://doi.org/10.1103/physreve.88.022909" @default.
• W2328268181 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/24032903" @default.
• W2328268181 hasPublicationYear "2013" @default.
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