Abstract
TD-ERCS is a class of chaotic system designed for chaos encryption.Though it has good encryption properties such as being chaotic in all fields for encryption,Tangent-Delay Ellipse Reflecting Cavity map System(TD-ERCS)is comprises of quite a lot of short cycling trajectories,which may lead to weak keys.Power spectrum analysis and Lyapunov calculation of the periodic trajectories indicated that the periodic trajectories were stable under tangent-delay operation m=0 and instable under tangent-delay operation m≥1.And the instability was independent of parameter μ,TD-ERCS tended from order to chaos under tangent-delay operation.The results show that TD-ERCS does not have weak keys caused by the stable short-period Trajectories.
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