An Experimental Investigation of a Nonlinear Mathieu Equation

A study of the equation x¯+βx˙±x3+(α-2γcos2t)x=0, using an electronic model, provides a qualitative insight into the nature of its simplest periodic solutions and leads to simple analytical results in quantitative agreement with the experimental observations. A circuit diagram is given, with practic...

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Bibliographic Details
Published in:IMA journal of applied mathematics 1987, Vol.38 (3), p.219-242
Main Author: ROBINSON, F. N. H
Format: Article
Language:English
Subjects:
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
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Summary:A study of the equation x¯+βx˙±x3+(α-2γcos2t)x=0, using an electronic model, provides a qualitative insight into the nature of its simplest periodic solutions and leads to simple analytical results in quantitative agreement with the experimental observations. A circuit diagram is given, with practical details and an analysis of its operation.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/38.3.219