Abstract: We proposed a hyperchaotic system with large Lyapunov exponents and wide frequency band. The synchronization of the hyperchaotic system was studied based on the state observer synchronization method. The results show that the method does not need to calculate conditional Lyapunov exponents, the synchronization time between drive system and response system is short, and the synchronization effect is better. Numerical simulations verify the effectiveness of the proposed method.

Key words: hyperchaotic system, Lyapunov exponent, broadband, state observer