Fractal-fractional order stochastic chaotic model: A synchronization study

被引：4
|
作者：
Sathiyaraj, T. [1 ]
Chen, Hao [2 ]
Babu, N. Ramesh [3 ]
Hassanabadi, Hassan [4 ]
机构：
[1] UCSI Univ, Inst Actuarial Sci & Data Analyt, Kuala Lumpur 56000, Malaysia
[2] Zunyi Normal Univ, Sch Phys & Elect Sci, Zunyi 563006, Peoples R China
[3] Koneru Lakshmaiah Educ Fdn Deemed Univ, Dept Math, Guntur 522502, India
[4] Shahrood Univ Technol, Fac Phys, Shahrood, Iran
来源：
RESULTS IN CONTROL AND OPTIMIZATION | 2023年 / 12卷
关键词：
Fractal-Fractional Derivatives (FFD); Stochastic chaotic systems; Fixed point analysis; Synchronization; NEURAL-NETWORKS; ASYMPTOTIC SYNCHRONIZATION; SYSTEMS; EQUATIONS; DRIVEN;
D O I：
10.1016/j.rico.2023.100290
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This manuscript provides the existence and uniqueness of solution and synchronization of fractal dimensional fractional order stochastic chaotic systems in R-n space. Based on fractal-fractional analysis, R-n stochastic settings, fixed point rout, stability theory and suitable feedback controller, a valuable adequate useful sufficient conditions are determined for existence and uniqueness of solution and synchronization study of proposed model. We have addressed the nonlinear terms of the systems under consideration in this study by using local assumptions. The theory's findings are then validated by a numerical simulation.
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页数：15
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