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Stabilization and Synchronization of Discrete-time Fractional Chaotic Systems with Non-identical Dimensions
《Acta Mathematicae Applicatae Sinica》2021年第3期523-538,共16页Samir BENDOUKHA 
This paper investigates the stabilization and synchronization of two fractional chaotic maps proposed recently,namely the 2D fractional Hénon map and the 3D fractional generalized Hénon map.We show that although the...
关键词：discrete chaos fractional discrete calculus Hénon based maps stabilization synchronization 
The Finite-time Ruin Probability of a Discrete-time Risk Model with Subexponential and Dependent Insurance and Financial Risks被引量：2
《Acta Mathematicae Applicatae Sinica》2018年第3期553-565,共13页Shi-jie WANG Chuan-wei ZHANG Xue-jun WANG Wen-sheng WANG 
Supported in part by the Natural National Science Foundation of China under Grant No.11671012;the Natural Science Foundation of Anhui Province under Grant No.1808085MA16;the Provincial Natural Science Research Project of Anhui Colleges under Grant No.KJ2017A024 and KJ2017A028
Consider a discrete-time risk model with insurance and financial risks in a stochastic economic environment. Assume that the insurance and financial risks form a sequence of independent and identically distributed ran...
关键词：discrete-time risk model finite-time ruin probability subexponentiality product dependence structure 
Exact Tail Asymptotics for a Discrete-time Preemptive Priority Queue被引量：1
《Acta Mathematicae Applicatae Sinica》2015年第1期43-58,共16页Yang SONG Zai-ming LIU Hong-shuai DAI 
Supported in part by the National Natural Science Foundation of China under Grant No.11271373 and 11361007;the Guangxi Natural Science Foundation under Grant No.2014GXNSFCA118001 and 2012GXNSFBA053010
In this paper, we consider a discrete-time preemptive priority queue with different service com- pletion probabilities for two classes of customers, one with high-priority and the other with low-priority. This model c...
关键词：discrete-time queue stationary distribution kernel method exact tail asymptotics 
Complex Dynamics in a Discrete-time Predator-prey System without Allee Effect
《Acta Mathematicae Applicatae Sinica》2013年第2期355-376,共22页Xian-wei CHEN Xiang-ling FU ZHU-JUN JING 
Supported by the National Natural Science Foundation of China (No. 11071066)
In this paper, complex dynamics of the discrete-time predator-prey system without Allee effect are investigated in detail. Conditions of the existence for flip bifurcation and Hopf bifurcation are derived by using cen...
关键词：predator-prey system flip bifurcation Hopf bifurcation Marotto＇s chaos transient chaos 
Dynamics in a Discrete-time Predator-prey System with Allee Effect被引量：4
《Acta Mathematicae Applicatae Sinica》2013年第1期143-164,共22页Xian-wei Chen Xiang-ling Fu Zhu-jun Jing 
Supported by the National Natural Science Foundation of China (No. 11071066)
In this paper, dynamics of the discrete-time predator-prey system with Allee effect are investigated in detail. Conditions of the existence for flip bifurcation and Hopf bifurcation are derived by using the center man...
关键词：Predator-prey System Allee effect flip bifurcation Hopf bifurcation Marotto＇s chaos transientchaos invariant circle periodic window 
A Single-server Discrete-time Retrial G-queue with Server Breakdowns and Repairs被引量：1
《Acta Mathematicae Applicatae Sinica》2009年第4期675-684,共10页Jin-ting Wang Peng Zhang 
Supported by the National Natural Science Foundation of China(No.10871020)
This paper concerns a discrete-time Geo/Geo/1 retrial queue with both positive and negative customers where the server is subject to breakdowns and repairs due to negative arrivals. The arrival of a negative customer ...
关键词：Discrete-time retrial queue G-queue Markov chain unreliable server 
Minimal Martingale Measures for Discrete-time Incomplete Financial Markets被引量：2
《Acta Mathematicae Applicatae Sinica》2002年第2期349-352,共4页Ping Li, Jian-ming XiaInstitute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, ChinaInstitute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 
In this note, we give a characterization of the minimal martingale measure for a general discrete-time incomplete financial market. Then we concretely work out the minimal martingale measure for a specific discrete-ti...
关键词：Minimal martingale measures incomplete financial markets 
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