182 citations · 1.5k across the 227 of their papers we have counts for
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A sufficient condition for bifurcation in random dynamical systems
Xiaopeng Chen, Jinqiao Duan, Xinchu Fu
Some properties of random Conley index are obtained and then a sufficient condition for the existence of abstract bifurcation points for both discrete-time and continuous-time rand…
Quantifying Uncertainties in Complex Systems
Jiarui Yang, Jinqiao Duan
Uncertainties are abundant in complex systems. Mathematical models for these systems thus contain random effects or noises. The models are often in the form of stochastic different…
Canonical Sample Spaces for Random Dynamical Systems
Jinqiao Duan, Xingye Kan, Bjaorn Schmalfuss
This is an overview about natural sample spaces for differential equations driven by various noises. Appropriate sample spaces are needed in order to facilitate a random dynamical…
Pseudorandom Numbers for Conformal Measure
Manfred Denker, Jinqiao Duan, Michael McCourt
We propose a new algorithm for generating pseudorandom (pseudo-generic) numbers of conformal measures of a continuous map T acting on a compact space X and for a Holder continuous…
State space decomposition for nonautonomous dynamical systems
Xiaopeng Chen, Jinqiao Duan
Decomposition of state spaces into dynamically different components is helpful for the understanding of dynamical behaviors of complex systems. A Conley type decomposition theorem…
A Stochastic Approach for Parameterizing Unresolved Scales in a System with Memory
Aijun Du, Jinqiao Duan
Complex systems display variability over a broad range of spatial and temporal scales. Some scales are unresolved due to computational limitations. The impact of these unresolved s…
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…