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A fractional-order chaotic Lorenz-based chemical system:Dynamic investigation,complexity analysis,chaos synchronization,and its application to secure communication

引用

Chinese Physics B 2024年第12期33卷 223-235页

作者： Haneche Nabil Hamaizia Tayeb Mathematical Modeling&Simulation Laboratory Department of MathematicsUniversity of Mentouri BrothersConstantineAlgeria Department of Mathematics University of Mentouri BrothersConstantineAlgeria

Synchronization of fractional-order chaotic systems is receiving significant attention in the literature due to its applications in a variety of fields,including cryptography,optics,and secure *** this paper,a three-dimensional fractional-order chaotic Lorenz model of chemical reactions is *** basic dynamical properties,such as stability of equilibria,Lyapunov exponents,bifurcation diagrams,Poincarémap,and sensitivity to initial conditions,are *** adopting the Adomian decomposition algorithm(ADM),the numerical solution of the fractional-order system is *** is found that the lowest derivative order in which the proposed system exhibits chaos is q=0.694 by applying *** result has been validated by the existence of one positive Lyapunov exponent and by employing some phase *** addition,the richer dynamics of the system are confirmed by using powerful tools in nonlinear dynamic analysis,such as the 0-1 test and C_(0)***,modified projective synchronization has been implemented based on the stability theory of fractional-order *** paper presents the application of the modified projective synchronization in secure communication,where the information signal can be transmitted and recovered successfully through the *** simulations are provided to show the validity of the constructed secure communication scheme.

关键词： chaotic system Adomian decomposition method modified projective synchronization secure communication

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