Limit cycle detection of the Van der Pol equation

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/h415pd53j

Descriptions

Attribute Name	Values
Creator	Bae, Yoon Goon
Abstract	The detection of limit cycles may be accomplished in several ways. This thesis presents a numerical method for detection when the system is described by the Van der Pol equation. Two numerical integration methods are used to increase the accuracy of the detection. The concept of a transversal is utilized to establish a simple technique for stopping the numerical solution. Detection is accomplished by comparing the closure distance for the solution as a trajectory in the phase-plane against an arbitrary (but justifiable) small number. Experimental results and computation of optimal interval values for the numerical integrations were obtained using a CDC 3300.
Resource Type	Masters Thesis
Date Available	2014-04-14T20:58:44+00:00
Date Issued	1967-08-21
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Electrical and Electronics Engineering
Degree Grantor	Oregon State University
Commencement Year	1968
Advisor	Stone, S. A.
Academic Affiliation	Electrical and Electronics Engineering
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Calculus
Rights Statement	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi using Capture Perfect 3.0 on a Canon DR-9050C in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/47288

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