Methods of Integration which Preserve the Contact Transformation Property of the Hamilton Equations

Article

Abstract

Hamilton equations are such that the relation, between the coordinates and momenta at time t and at time t 0, is a contact transformation. Methods of integration of Hamilton equations, which do preserve the contact transformation property are given here. These methods are of first and second order. They are given, for the equation x= f(x,t), then for the case of one degree of freedom, then for the general case. Some of the formulae are implicit.

Attributes

Attribute NameValues
Creator
  • Rene De Vogelaere

Journal or Work Title
  • Technical report (University of Notre Dame. Dept. of Mathematics)

Volume
  • No. 4

Publication Date
  • 1956-04

Date Created
  • 2018-03-09

Bibliographic Citation
Language
  • English

Catalog Record
Departments and Units
Record Visibility and Access Public
Content License
  • All rights reserved

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