J an 1 99 5 RESEARCH ANNOUNCEMENT
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چکیده
A new technique for obtaining rigorous results concerning the global dynamics of nonlinear systems is described. The technique combines abstract existence results based on the Conley index theory with computerassisted computations. As an application of these methods it is proven that for an explicit parameter value the Lorenz equations exhibit chaotic dynamics.
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تاریخ انتشار 1995