论文信息 - Estimating the bounds for the Lorenz family of chaotic systems

Estimating the bounds for the Lorenz family of chaotic systems

Abstract In this paper, we derive a sharper upper bound for the Lorenz system, for all the positive values of its parameters a, b and c. Comparing with the best result existing in the current literature, we fill the gap of the estimate for 0 1, 1⩽b 0⩽α 1 29 . When α=0, the estimate agrees precisely with the known result. Finally, the two-dimensional bounds with respect to x−z for the Chen system, Lu system and the unified system are established.

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