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Nonlinear system dynamics of calcium and nitric oxide due to cell memory and superdiffusion in neurons: 《Communications in Theoretical Physics》2024年第5期16-32,共17页Anand Pawar Kamal Raj Pardasani; The integer-order interdependent calcium([Ca^(2+)])and nitric oxide(NO)systems are unable to shed light on the influences of the superdiffusion and memory in triggering Brownian motion(BM)in neurons.Therefore,a mathem...; 关键词：[Ca^(2+)]and nitric oxide signaling reaction-diffusion equations fractional-order systems Grunwald approximation Gauss-Seidel iterations

Accelerator-mode islands and superdiffusion in double-kicked rotor: 《Chinese Physics B》2023年第6期1-8,共8页王风涤方萍; Project supported by the National Natural Science Foundation of China (Grant No. 12005024);the Fundamental Research Funds for the Central Universities (Grant No. 2019XDA10)。; This paper presents a theoretical investigation of the presence of acceleration islands in the phase space of doublekicked rotor(DKR) systems, which can lead to superdiffusive behavior. We establish the conditions for...; 关键词：superdiffuision accelerator-mode islands double-kicked rotor

Transient Superdiffusion of Energetic Carriers in Transition Metal Dichalcogenides Visualized by Ultrafast Pump-Probe Microscopy被引量：1: 《Ultrafast Science》2022年第6期9-18,共10页Yun-Ke Zhou Xiao-Ze Li Qian-Ni Zhou Ren-Hao Xing Yan Zhang Benfeng Bai Hong-Hua Fang Hong-Bo Sun; financially supported by the National Natural Science Foundation of China(no.62075115);Tsinghua University Initiative Scientific Research Program.; Because of the strong Coulomb interaction and quantum confinement effect,2-dimensional transitionmetal dichalcogenides possess a stable excitonic population.To realize excitonic device applications,such as excitonic c...; 关键词：diffusion EXPANSION quantum

L log L criterion for a class of multitype superdiffusions with non-local branching mechanisms被引量：3: 《Science China Mathematics》2019年第8期1439-1462,共24页Zhen-Qing Chen Yan-Xia Ren Renming Song; supported by Simons Foundation (Grant No. 520542);a Victor Klee Faculty Fellowship and National Natural Science Foundation of China (Grant No. 11731009);supported by National Natural Science Foundation of China (Grant Nos. 11671017 and 11731009);Key Laboratory of Mathematical Economics and Quantitative Finance (LMEQF) (Peking University),Ministry of Education;supported by the Simons Foundation (Grant No. #429343); In this paper, we provide a pathwise spine decomposition for multitype superdiffusions with nonlocal branching mechanisms under a martingale change of measure. As an application of this decomposition,we obtain a neces...; 关键词：multitype SUPERDIFFUSION NON-LOCAL branching mechanism SWITCHED diffusion SPINE decomposition MARTINGALE

L log L criterion for a class of multitype superdiffusions with non-local branching mechanisms: 《中国科学：数学》2019年第8期I0001-I0004,共4页Zhen-Qing Chen Yan-Xia Ren Renming Song; In this paper, we provide a pathwise spine decomposition for multitype superdiffusions with non-local branching mechanisms under a martingale change of measure. As an application of this decomposition, we obtain a nec...; 关键词：multitype SUPERDIFFUSION NON-LOCAL branching mechanism SWITCHED diflFusion SPINE decomposition MARTIN GALE

Pattern formation in superdiffusion Oregonator model: 《Chinese Physics B》2016年第10期197-201,共5页冯帆闫佳刘富成贺亚峰; supported by the National Natural Science Foundation of China(Grant Nos.11205044 and 11405042);the Research Foundation of Education Bureau of Hebei Province,China(Grant Nos.Y2012009 and ZD2015025);the Program for Young Principal Investigators of Hebei Province,China;the Midwest Universities Comprehensive Strength Promotion Project; Pattern formations in an Oregonator model with superdiffusion are studied in two-dimensional(2D) numerical simulations. Stability analyses are performed by applying Fourier and Laplace transforms to the space fraction...; 关键词：pattern formation reaction diffusion system anomalous diffusion

Scaling Properties of Field-Induced Superdiffusion in Continuous Time Random Walks: 《Communications in Theoretical Physics》2014年第10期514-520,共7页R.Burioni G.Gradenigo A.Sarracino A.Vezzani A.Vulpiani; supported by the Granular Chaos project;funded by the Italian MIUR under Grant No.RIBD08Z9JE; We consider a broad class of Continuous Time Random Walks(CTRW) with large fluctuations effects in space and time distributions: a random walk with trapping, describing subdiffusion in disordered and glassy materials,...; 关键词：ANOMALOUS DIFFUSION CTRW L′evy WALKS

On States of Total Weighted Occupation Times for Superdiffusions: 《Acta Mathematica Sinica,English Series》2002年第1期69-78,共10页REN Yan Xia Center for Advanced Study. Tsinghua University. Beijing 100084. P. R. China; This work is supported by NNSF of China(Grant No. 19801019);China Postdoctoral Foundation; Suppose X is a superdiffusion in R^d with general branching mechanism ￠. and Y_(D) denotes the total weighted occupation time of X in a bounded smooth domain D. We discuss the conditions on ψ to guarantee that Y_(D)...; 关键词：Total weighted occupation time SUPERDIFFUSION Absolutely continuous state Singular states

Absolute continuities of exit measures for superdiffusions被引量：2: 《Science China Mathematics》2000年第5期449-457,共9页任艳霞; Suppose X= Xt, XT, Pμis a superdiffusion in ?d with general branching mechanism ψ and general branching rate functionA. We discuss conditions onA to guarantee that the exit measure XTL of the superdiffusionX from bo...; 关键词：EXIT MEASURE SUPERDIFFUSION absolutely CONTINUOUS state.

Some Properties of Conditioned Superdiffusion: 《Wuhan University Journal of Natural Sciences》1999年第4期393-398,共6页Li Bing-zhang Liu Lu-qin; Some properties of a conditioned superdiffusion are investigated. By a basic property we obtain for it, a class of linear additive functionals, so-called weighted occupation time, is studied. At last, we get an intere...; 关键词：conditioned superdiffusion harmonic function linear additive functional weighted occupation time extinctive time

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