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Abstract <p>For problems of instability development in a random environment, the influence of memory fluctuations on the behavior of the statistical moments of the solution is considered. It is found that, under certain conditions, these fluctuations can lead to an explosive growth of the statistical moments of the solution.</p>

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Memory Time Fluctuations and Explosive Growth of Moments in Systems of Equations with Random Coefficients

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • E. A. Illarionov,
  • D. D. Sokoloff,
  • S. S. Pavlenko

摘要

Abstract

For problems of instability development in a random environment, the influence of memory fluctuations on the behavior of the statistical moments of the solution is considered. It is found that, under certain conditions, these fluctuations can lead to an explosive growth of the statistical moments of the solution.