Chaos in the Lorenz equations: A computer assisted proof. Part II: Details

@article{Mischaikow1998ChaosIT,
  title={Chaos in the Lorenz equations: A computer assisted proof. Part II: Details},
  author={Konstantin Mischaikow and Marian Mrozek},
  journal={Math. Comput.},
  year={1998},
  volume={67},
  pages={1023-1046}
}
Details of 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 rigorous computer assisted computations. As an application of these methods it is proven that for some explicit parameter values the Lorenz equations exhibit chaotic dynamics. 
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