Ab initio analysis of extreme events in dynamical systems with Rényi entropy production rate
🌍 Introduction Extreme events—such as sudden climate shifts, financial crashes, or turbulence spikes—pose significant challenges in science and engineering. These rare yet impactful phenomena often emerge unpredictably in complex dynamical systems. To better understand them, researchers are turning to ab initio approaches combined with advanced entropy measures like Rényi entropy . 🔍 ⚙️ What Are Dynamical Systems? Dynamical systems describe how a system evolves over time based on underlying rules. These systems can be deterministic or stochastic, and they appear in fields like physics, biology, economics, and engineering. 🌱📈 However, predicting extreme events within these systems is difficult due to their nonlinear and chaotic nature. 🌪️ 📊 Role of Rényi Entropy Rényi entropy is a generalized measure of uncertainty that extends beyond traditional entropy concepts. It helps analyze probability distributions , especially when dealing with rare or extreme outcomes. ✨ U...