本跨學科期刊致力于從動力系統的角度，發表高質量的科學與工程隨機現象建模、分析、量化和預測論文。論文內容包括理論、實驗、算法、數值模擬和應用。用隨機或隨機普通、偏微分方程或泛函微分方程或隨機映射研究隨機現象動力學的論文特別受歡迎，確定性系統中隨機性的研究也是如此。偶爾也會發表特邀的說明文。

This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system's point of view.Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.Occasionally, invited expository papers will also be published.