Fractional Differential Equations Arising from Stochastic Dynamical Systems
- đ¤ Speaker: Jinqiao Duan (Illinois Institute of Technology)
- đ Date & Time: Monday 25 April 2022, 14:00 - 15:00
- đ Venue: Seminar Room 2, Newton Institute
Abstract
Complex dynamical systems are often under random fluctuations. The noisy fluctuations may be Gaussian or non-Gaussian, which are usually modeled by Brownian motion or α-stable Levy motion, respectively. Stochastic differential equations are appropriate mathematical models for these systems. At a certain ‘macroscopic’ level, non-Gaussianity of the noise manifests as a fractional or nonlocal operator, which facilitates the investigation of stochastic dynamical behaviours. The speaker will overview recent advances in deterministic methods for non-Gaussian stochastic dynamical systems, including mean exit time, escape probability, and most probable transition pathways. These methods involve fractional/nonlocal differential equations with singular integral operators.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Jinqiao Duan (Illinois Institute of Technology)
Monday 25 April 2022, 14:00-15:00