Stochastic dynamics

Stochastic dynamics refers to systems that evolve over time with elements of randomness or unpredictability. Unlike deterministic systems, where outcomes are precisely determined by initial conditions, stochastic systems incorporate chance, making their future states probabilistic. This approach helps model real-world phenomena like stock markets, weather patterns, or biological processes, where uncertainty and variability are inherent. Essentially, stochastic dynamics combines mathematical rules with randomness to better understand and predict complex, evolving systems influenced by unpredictable factors.