Multimedia Supplement of Global organization of phase space in the transition to chaos in the Lorenz system
by Eusebius J. Doedel, Bernd Krauskopf & Hinke Osinga

An isola of the Lorenz manifold

A strip of the Lorenz manifold leaves \(S_R\) along the dark-blue curve and comes back intersecting \(S_R\) in a closed curve.