J
Jinqiao Duan
Researcher at Illinois Institute of Technology
Publications - 467
Citations - 7694
Jinqiao Duan is an academic researcher from Illinois Institute of Technology. The author has contributed to research in topics: Dynamical systems theory & Stochastic differential equation. The author has an hindex of 39, co-authored 467 publications receiving 6599 citations. Previous affiliations of Jinqiao Duan include University of California & Huazhong University of Science and Technology.
Papers
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Journal ArticleDOI
Invariant manifolds for stochastic partial differential equations
TL;DR: In this article, a unified theory of invariant manifolds for infinite-dimensional random dynamical systems generated by stochastic partial differential equations is presented, where a random graph transform and a fixed point theorem for non-autonomous systems are introduced.
Book
An Introduction to Stochastic Dynamics
TL;DR: A crash course in stochastic differential equations can be found in this paper, where the authors also present a deterministic model for the non-Gaussian Levy motion in dynamical systems.
Posted Content
Invariant manifolds for stochastic partial differential equations
TL;DR: In this paper, a unified theory of invariant manifolds for infinite dimensional dynamical systems generated by stochastic partial differential equations is presented, where a random graph transform and a fixed point theorem for non-autonomous systems are introduced.
Journal ArticleDOI
Fractional Fokker-Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises
TL;DR: In this article, a fractional Fokker-Planck equation for the probability distribution of particles whose motion is governed by a nonlinear Langevin-type equation, which is driven by a Levy stable noise rather than a Gaussian.
Journal ArticleDOI
Stochastic bifurcations in a bistable Duffing-Van der Pol oscillator with colored noise.
TL;DR: Gaussian colored-noise-induced stochastic bifurcations and the dynamical influence of correlation time and noise intensity in a bistable Duffing-Van der Pol oscillator are investigated and the effects of multiplicative noise are rather different from that of additive noise.