ON THE GENERALIZED TZITZEICA CURVE EQUATION
Abstract
The aim of this paper is to present a generalization of the Tzitzeica curve equation based on a new centro-affine invariant. The third order nonlinear ordinary differential equation of the generalized Tzitzeica curves is derived and expressed in the curve’s defining functions. A few intriguing solutions are discussed in connection with Tzitzeica curves.
This paper has been withdrawn.