The newton transform: An operational method for constructing integral of dynamical systems

Scott A. Burns, Julian I. Palmore

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)83-90
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume37
Issue number1-3
DOIs
StatePublished - Jul 1989

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'The newton transform: An operational method for constructing integral of dynamical systems'. Together they form a unique fingerprint.

Cite this