Estimatiion of bounds for a kind of three-dimensional chaotic system
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摘要: 對一類三維混沌系統的界進行了估計.首先運用參數法給出了該三維混沌系統在條件-1 ≤ c<0下兩變量的一個上界估計定理并進行了證明,其次在兩變量上界估計的基礎上給出了該混沌系統三變量的一個上界估計定理并進行了證明;最后給出了具體參數下該三維混沌系統的上界估計值并進行了數值模擬.Abstract: The bound of a kind of three-dimensional chaotic system was estimated. Firstly, under the condition of -1 ≤ c<0, the theorem about an upper bound estimate of two variables was given by parameterization and proved. Secondly, the theorem about an upper bound estimate of three variables was proposed and proved. Finally, the actual parameter bounds of the three-dimensional chaotic system were estimated and their numerical simulations were done.
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Key words:
- three-dimensional chaotic system /
- chaos /
- bound /
- Lyapunov function /
- parameter method
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