Impulsive Stabilization on Hyper-Chaotic Financial System under Neumann Boundary

Xinggui Li, Ruofeng Rao and Xinsong Yang
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Xinggui Li: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Ruofeng Rao: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Xinsong Yang: College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China

Mathematics, 2022, vol. 10, issue 11, 1-18

Abstract: 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.

Keywords: chaotic dynamics; reaction diffusion; average profit margin (APM); impulse control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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