Abstract
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".
Original language | English (US) |
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Pages (from-to) | 83-90 |
Number of pages | 8 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 37 |
Issue number | 1-3 |
DOIs | |
State | Published - Jul 1989 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics