Abstract: The technique of calculating the largest Lyapunov exponent of the differential equations is expounded, and the method determining the correlation dimension of the system from a time series is introduced. By utilizing the Lyapunov exponent as criterion and transforming the coordinates, the rotation symmetric generalized Lorenz strange attractors are constructed, and the activity characteristics of the strange attractors are analyzed and the correlation dimensions of the strange attractors are calculated.

Key words: generalized Lorenz equations, strange attractor, Lyapunov exponent, correlation dimension