Resonance surfaces for forced oscillators

Richard P. McGehee, Bruce B. Peckham

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The study of resonances in systems such as periodically forced oscillators has traditionally focused on understanding the regions in the parameter plane where these resonances occur. Resonance regions can also be viewed as projections to the parameter plane of resonance surfaces in the four-dimensional Cartesian product of the state space with the parameter space. This paper reports on a computer study of resonance surfaces for a particular family and illustrates some advantages of viewing resonance regions in this light.

Original languageEnglish (US)
Pages (from-to)221-244
Number of pages24
JournalExperimental Mathematics
Volume3
Issue number3
DOIs
StatePublished - 1994

Bibliographical note

Funding Information:
This research was partially supported by NSF grants DMS-9020220 and DMS-9206957.

Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

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