The $\omega$-limit set in a positively invariant compact region and a new description of the Lorenz attractor

Khalil Zare, Steven R. Chesley

The $\omega$-limit set in a compact positively invariant region $R\subset {\mathbb{R}}^n$ has been identified for $n=1$, 2, and 3, with examples in each case. It has been shown that the…