Abstract

This work is involved with new results for adaptive switched generalized function projective synchronization between hyperchaotic diffusionless Lorenz equations (2014) and modified Lorenz-Stenflo system (2014), when the two system parameters are unknown. Hyperchaotic diffusionless Lorenz equations and modified Lorenz-Stenflo system belong to a newly introduced category of chaotic systems, and both generate hidden hyperchaos and complicated phenomena. Based on the Lyapunov stability theory, corresponding adaptive controllers with appropriate parameter update laws are constructed to achieve adaptive switched generalized function projective synchronization between the two different hyperchaotic systems. Numerical simulations are given to show the feasibility of theoretical results.

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