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Regular Determination of Complex Dynamics via a New Statistical Complexity Measure

Abstract

Walin Dey

Understanding complex dynamics is crucial in various scientific disciplines, ranging from physics and biology to economics and social sciences. In this paper, we propose a novel statistical complexity measure to assess and characterize regular patterns in dynamic systems. The measure aims to capture intricate structures and regularities, providing a comprehensive analysis of complex dynamics. Through theoretical development and practical applications, we demonstrate the effectiveness and versatility of the proposed measure. This contribution enhances our ability to quantify and comprehend the underlying regularities in complex systems, leading to valuable insights across diverse domains. Understanding the intricate dynamics of complex systems is a fundamental challenge in various scientific disciplines. Whether it is the behavior of biological networks, the fluctuations in financial markets, or the evolution of social systems, identifying and characterizing regular patterns in dynamic processes is essential for meaningful analysis. This paper introduces a novel statistical complexity measure designed to provide a robust and comprehensive assessment of regularities in complex systems.

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