A HYBRID APPROACH FOR SYNCHRONIZING BETWEEN TWO REACTION–DIFFUSION SYSTEMS OF INTEGER- AND FRACTIONAL-ORDER APPLIED ON CERTAIN CHEMICAL MODELS-Reference-Cited by-同舟云学术

A HYBRID APPROACH FOR SYNCHRONIZING BETWEEN TWO REACTION–DIFFUSION SYSTEMS OF INTEGER- AND FRACTIONAL-ORDER APPLIED ON CERTAIN CHEMICAL MODELS

Published:2022-05-27 Issue:05 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG BO¹²,OUANNAS ADEL³,KARACA YELIZ⁴,XIA WEI-FENG⁵⁶,JAHANSHAHI HADI⁷,ALKHATEEB ABDULHAMEED F.⁸,NOUR MAJID⁸

Affiliation:

1. School of Electronic Information and Automation, Aba Teachers University, Wenchuan 623002, China

2. School of Applied Mathematics, University Electronic Science and Technology of China, Chengdu 610054, China

3. Department of Mathematics and Computer Science, University of Larbi Ben Mhidi, Oum El Bouaghi 04000, Algeria

4. University of Massachusetts Medical School (UMASS), Worcester, MA 01655, USA

5. School of Engineering, Huzhou University, Huzhou 313000, P. R. China

6. Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China

7. Department of Mechanical Engineering, University of Manitoba, Winnipeg, Canada R3T 5V6, Canada

8. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

In this study, a synchronization problem for spatio-temporal partial differential systems is addressed and researched within a subjectivist framework. In light of Lyapunov direct method and some proposed nonlinear controllers, a new scheme is established to accomplish a full synchronization between two reaction–diffusion systems of integer- and fractional-order. In particular, a novel vector-valued control law is analytically derived to attain the desired synchronization between two chemical models, namely, the Lengyel–Epstein and Gray–Scott models. To validate the obtained theoretical results, further numerical simulations are carried out in 2D and 3D configurations.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22401454

Reference49 articles.

1. A theory for synchronization of dynamical systems

2. Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication

3. Synchronization of Lorenz-based chaotic circuits with applications to communications

4. A financial hyperchaotic system with coexisting attractors: Dynamic investigation, entropy analysis, control and synchronization

5. A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a novel fuzzy adaptive sliding mode control method

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Synchronization of Fractional Partial Difference Equations via Linear Methods;Axioms;2023-07-27

2. EDITORIAL SPECIAL ISSUE: PART IV-III-II-I SERIES;Fractals;2023-01

3. Linear Methods for Stabilization and Synchronization h-Fractional Chaotic Maps;State Estimation and Stabilization of Nonlinear Systems;2023

4. Nonlinear Fractional Discrete Neural Networks: Stability, Stabilization and Synchronization;State Estimation and Stabilization of Nonlinear Systems;2023

5. Global Asymptotic Stability for Discrete-Time SEI Reaction-Diffusion Model;Mathematics and Computation;2023