A new fractional order 6D chaotic model:Study of model dynamics,system structure graph,electronic circuit realization and fractional control
作者机构：Department of Mathematics and StatisticsCollege of ScienceTaif UniversityP.O.Box 11099Taif 21944Saudi Arabia Department of Physics and Engineering MathematicsFaculty of Electronic EngineeringMenoufia UniversityMenouf 32952Egypt Research Center for Advanced Materials Science(RCAMS)King Khalid UniversityP.O.Box 9004Abha 61413Saudi Arabia Department of ChemistryCollege of ScienceKing Khalid UniversityP.O.Box 9004Abha 61413Saudi Arabia Department of PhysicsFaculty of ScienceKing Abdulaziz UniversityP.O.Box 80203Jeddah 21589Saudi Arabia
出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)
年 卷 期：2024年第9卷第2期
页 面：112-125页
核心收录：
学科分类：07[理学] 0824[工学-船舶与海洋工程] 0701[理学-数学]
主 题：Chaotic systems Fractional calculus Lyapunov exponents Chaotic attractors Adjacency matrix Hermitian matrix Electronic circuit realization
摘 要：A new fractional 6D chaotic model is constructed in this paper.The new fractional 6D chaotic model has six positive parameters plus the fractional order with eight nonlinear terms.The complicated chaotic dy-namics of the new fractional 6D model is presented and analyzed.The basic properties of this model are studied and its chaotic attractors,dissipative feature,symmetry,equilibrium points,Lyapunov Exponents are investigated.The new dynamics of the 6D fractional model is numerically simulated using Matlab software.In addition,utilizing the graph theory tools certain structural characteristics are calculated.An electrical circuit is built to implement the new 5.4 fractional order 6D model.Finally,an active fractional order controller is proposed to control the new model at different fractional orders.The chaos of the new model is very useful and can be used to produce random keys for data encryption.
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