Skip to main content
padlock icon - secure page this page is secure

Slowly Varying Phase Planes and Boundary‐Layer Theory

Buy Article:

$59.00 + tax (Refund Policy)

A method is presented that combines phase‐plane techniques with the ideas of multiple scale and matched asymptotic expansions to explain the behavior of solutions to second‐order, nonlinear, nonautonomous, singular boundary‐value problems. It is shown that if one is willing to give up the detailed information provided by a procedure such as matched asymptotic expansions, then complete qualitative information can be obtained by the much simpler method given here. (“Complete” here means that the method provides a way of categorizing all possible solutions of such problems.) In addition, the similarities and differences between the present method and that of Melnikov, which has been useful in the study of dynamical systems, are noted.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Document Type: Research Article

Affiliations: California Institute of Technology

Publication date: June 1, 1985

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more