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

Key Points

• The research aims to investigate how memory fluctuations affect the behavior of statistical moments in systems influenced by random environments.
• Analyzed mathematical models involving random coefficients
• Examined the impact of memory fluctuations on stability
• Focused on the growth of statistical moments in solutions
• Memory fluctuations were found to contribute to explosive growth in statistical moments under specific conditions
• Instability in random systems aligns with increased statistical moment behavior