Statistical characteristics of chaoticity and incomplete chaoticity of irregular oscillations generated by a strongly nonlinear autonomous system with two degrees of freedom |
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Authors: | B E Petrov |
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Abstract: | The notion of the interval of nonergodicity as one of the statistical characteristics for time realizations of an irregular
process is introduced. A method for determination of this factor based from the analysis of autocorrelation functions of truncated
realizations is developed. The chaoticity of irregular oscillations in a strongly nonlinear autonomous system with two degrees
of freedom is proved using the criterion of decomposition of time correlations. The statistical indication of the existence
of incomplete chaoticity of oscillations in the case of incomplete decomposition of correlations is formulated. Conditions
of weak distortions of the energy spectrum for truncated realizations are determined. Probability distribution functions for
the characteristics of an irregular time process in the studied system are considered. |
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