Impulsive Stabilization on Hyper-Chaotic Financial System under Neumann Boundary

被引:5
作者
Li, Xinggui [1 ]
Rao, Ruofeng [1 ]
Yang, Xinsong [2 ]
机构
[1] Chengdu Normal Univ, Dept Math, Chengdu 611130, Peoples R China
[2] Sichuan Univ, Coll Elect & Informat Engn, Chengdu 610065, Peoples R China
关键词
chaotic dynamics; reaction diffusion; average profit margin (APM); impulse control; SYNCHRONIZATION; DYNAMICS;
D O I
10.3390/math10111866
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper proposes a novel technique to obtain sufficient conditions for the existence and stabilization of positive solutions for a kind of hyper-chaotic financial model. Since some important economic indexes are heavily related to region, the authors consider a nonlinear chaotic financial system with diffusion, which leads to some mathematical difficulties in dealing with the infinite-dimension characteristic. In order to overcome these difficulties, novel analysis techniques have to be proposed on the basis of Laplacian semigroup and impulsive control. Sufficient conditions are provided for existence and global exponential stabilization of positive solution for the system. It is interesting to discover that the impulse strength can be larger than 1 in the newly obtained stability criterion. Numerical simulations show the effectiveness of theoretical analysis.
引用
收藏
页数:18
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