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中文摘要：
研究了超混沌系统的广义同步化问题.基于Lyapunov稳定性理论,提出了一种新的线性及非线性广义同步方案,并从理论上证明了该方案的可行性.该方案不仅可以实现相同维数超混沌系统之间的广义同步,而且对于不同维数的系统之间的广义同步问题同样适用.合理地构造误差增益矩阵,即可实现驱动系统和响应系统之间的广义同步.数值模拟实验进一步验证了所提方案的有效性.
英文摘要：
The generalized synchronization of hyperchaos systems is investigated.Based on the Lyapunov stability theory,a new linear and nonlinear generalized synchronization approach is proposed.Theoretical analysis is provided to show its feasibility.The proposed method can realize the generalized synchronization not only of structurally equivalent systems,but also of systems of different dimensions.If the error gain matrix is suitably chosen,the generalized synchronization between drive system and response system will be obtained.Numerical simulations further demonstrate the effectiveness of the proposed scheme.
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