19 Papers
105 Citations
Xiaoli Chen is an academic researcher from Huazhong University of Science and Technology. The author has contributed to research in topics: Gaussian noise & Nonlinear system. The author has an hindex of 9, co-authored 14 publications. Previous affiliations of Xiaoli Chen include Chongqing University.
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Papers
Convergence and stability of compact finite difference method for nonlinear time fractional reaction–diffusion equations with delay
TL;DR: A linearized compact finite difference scheme is proposed to solve the equations and in terms of a new developed fractional Gronwall type inequality, convergence and stability of the proposed scheme are obtained.
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Nonuniform Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Parabolic Equations
TL;DR: The optimal error estimates of the fully discrete schemes hold without certain time-step restrictions dependent on the spatial mesh sizes, and unconditionally optimal convergent results are proved.
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Lévy noise-induced escape in an excitable system*
TL;DR: In this article, the dynamics of escape in the stochastic FitzHugh-Nagumo (FHN) neuronal model driven by symmetric α-stable Levy noise is analyzed.
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Lévy noise induced transition and enhanced stability in a gene regulatory network.
TL;DR: A quantitative bistable two-dimensional model of gene expression dynamics describing the competence development in the Bacillus subtilis under the influence of Lévy as well as Brownian motions is investigated, indicating that the transitions between the vegetative and the competence regions can be induced by the noise intensities, the relative contribution factor λ and the LÉvy motion index α.
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•Posted Content
Most probable dynamics of a genetic regulatory network under stable L\'evy noise
TL;DR: The most probable trajectories of a two-dimensional model depicting the competence behaviour in B. subtilis under the influence of stable Levy noise are discussed and the optimal combination of both parameters α and ϵ making the tipping time shortest is revealed.
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