Experimental Mathematics

Resonance surfaces for forced oscillators

Richard P. McGehee and Bruce B. Peckham

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.

Article information

Source
Experiment. Math., Volume 3, Issue 3 (1994), 221-244.

Dates
First available in Project Euclid: 24 March 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1048515873

Mathematical Reviews number (MathSciNet)
MR1329371

Zentralblatt MATH identifier
0822.34035

Subjects
Primary: 34C15: Nonlinear oscillations, coupled oscillators
Secondary: 34C30 58F14 70K40: Forced motions

Citation

McGehee, Richard P.; Peckham, Bruce B. Resonance surfaces for forced oscillators. Experiment. Math. 3 (1994), no. 3, 221--244. https://projecteuclid.org/euclid.em/1048515873


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