Another integrable case in the Lorenz model
A scaling invariance in the Lorenz model allows one to consider the usually discarded case sigma=0. We integrate it with the third Painlevé function.
nlin.CD↗
arXiv subjects
Yee Tat-leung
Publications and source records attributed to Yee Tat-leung.
Sur la "solution analytique ge'ne'rale" d'une e'quation diffe'rentielle chaotique du troisie`me ordre
Even if it is nonintegrable, a differential equation may nevertheless admit particular solutions which are globally analytic. On the example of the dynamical system of Kuramoto and Sivashinsky, which is generically chaotic and presents a high physical interest, we review various methods, all based on the structure of singularities, allowing us to characterize the analytic solution which depends on the largest possible number of constants of integration.
nlin.PS↗