The goal of this paper is to illustrate the rapid construction of phase plane portraits by a method that has no propagated error. This is done by constructing integrals (constants of motion) for differential equations on the plane-even in non-conservative systems, where energy integrals produced by quadrature do not exist. The correct time parameterization is also obtained. This operational method is called the "Newton transform".
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics