Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-23T07:50:35.871Z Has data issue: false hasContentIssue false
  • English
  • Français

Computation of the adiabatic invariant of the symmetric nonlinear oscillator

Published online by Cambridge University Press:  01 April 1998

J. Hu
J. Hu*
Affiliation:
Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
Get access Rights & Permissions [Opens in a new window]

Abstract

In a recent paper, the author showed that for certain symmetric bisuperlinear equations, cosine-like boundary behaviours will not yield symmetric solutions [1]. In this paper, we attack the adiabatic invariant problem by showing that, for these strongly nonlinear oscillators, the adiabatic invariant is intimately related to z′(0;∈) for a family of solutions.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 9 , Issue 2 , April 1998 , pp. 187 - 194
Copyright
Copyright © Cambridge University Press 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)