Abstract：The existence and metric characteristics of a class of quasiperiodic ally driven two-dimensional systems with sinusoidal functions are studied. Firstly, the birth process of strange nonchaotic attractors is described by phase diagram. Strange nonchaotic attractors are fractal due to the interruption of smooth torus doubling for the fixed parameters. Secondly, the strange nonchaotic attractors is confirmed by the largest Lyapunov exponents and phase sensitivity exponents. Finally, the power spectrum, finite Lyapunov exponents distribution and recurrence plots are used to characterize the strange nonchaotic attractors. According to the experimental results, there are strange nonchaotic attractors in the system and have good statistical characteristics.
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