Study on synchronization and parameters insensitivity of a class of hyperchaotic systems using nonlinear feedback control

A class of hyperchaotic systems has strong noise robustness. When conventional synchronization algorithms are used in this system, however, the convergence rate of synchronization is slow, and the synchronization performances are very sensitive to the parameters of response system. To resolve the problems, synchronization using nonlinear feedback control is proposed. According to Hurwitz stability theory, designing a nonlinear controller can make the real parts of the eigenvalues of the error equation’s Jacobian matrix negative. And the absolute values of the eigenvalues are larger, the convergence rate of synchronization is faster. Besides, the theoretical results of parameters insensitivity are given. Finally, numerical simulations are given to verify and test the correctness and effectiveness of the methods we proposed.