We discuss numerical solutions of equations which model a discretized cable. We search for the large and small amplitude periodic solutions by solving the initial value problems for various initial values and allowing the solution to run for long time.
Multiple periodic solutions are found over a wide range of amplitudes and frequencies for the periodic forcing term. Single and multi-particle models are treated.
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
Multiple periodic solutions in a hanging cable with periodic forcing
Source
DAI-B 52/04, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
McKenna, Patrick J.
University/institution
University of Connecticut
University location
United States -- Connecticut
Source type
Dissertation or Thesis
Document type
Dissertation/Thesis
Dissertation/thesis number
9128851
ProQuest document ID
303896495
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303896495/abstract