159 citations
- Argonne National LaboratoryUS7 papers
- Fermi National Accelerator LaboratoryUS4 papers
- Izmir Institute of TechnologyTR4 papers
- University of MinnesotaUS4 papers
- Huazhong University of Science and TechnologyCN3 papers
- Texas A&M UniversityUS3 papers
- Abilene Christian UniversityUS2 papers
- Academy of Mathematics and Systems ScienceCN2 papers
- Chiba UniversityJP2 papers
- Chinese Academy of SciencesCN2 papers
- Georgia State UniversityUS2 papers
- Institute of Brain and Blood VesselsJP2 papers
11 papers · 1 filter
Synchronization of dissipative dynamical systems driven by non-Gaussian Levy noises
Xianming Liu, Jinqiao Duan, Jicheng Liu +1
Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation and theory. However, complex systems in engineering and science are often subje…
Random Chain Recurrent Sets for Random Dynamical Systems
Xiaopeng Chen, Jinqiao Duan
It is known by the Conley's theorem that the chain recurrent set of a deterministic flow on a compact metric space is the complement of the union of sets , wher…
General Matrix-Valued Inhomogeneous Linear Stochastic Differential Equations and Applications
Jinqiao Duan, Jia-an Yan
The expressions of solutions for general matrix-valued inhomogeneous linear stochastic differential equations are derived. This generalizes a result of Jaschke (2003) f…
An intermediate regime for exit phenomena driven by non-Gaussian Levy noises
Zhihui Yang, Jinqiao Duan
A dynamical system driven by non-Gaussian Lévy noises of small intensity is considered. The first exit time of solution orbits from a bounded neighborhood of an attracting equilibr…
Exponential stability of non-autonomous stochastic partial differential equations with finite memory
Li Wan, Jinqiao Duan
The exponential stability, in both mean square and almost sure senses, for energy solutions to a class of nonlinear and non-autonomous stochastic PDEs with finite memory is investi…
Reductions and deviations for stochastic partial differential equations under fast dynamical boundary conditions
Wei Wang, Jinqiao Duan
In order to understand the impact of random influences at physical boundary on the evolution of multiscale systems, a stochastic partial differential equation model under a fast ra…