Limit cycle detection of the Van der Pol equation Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/h415pd53j

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  • 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.
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  • 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.
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  • description.provenance : Submitted by Alex McFerrin (amscannerosu@gmail.com) on 2014-04-10T21:30:42Z No. of bitstreams: 1 BaeYoonG1968_Redacted.pdf: 849285 bytes, checksum: 22002da88562a63bbecc95e8327fbb30 (MD5)
  • description.provenance : Approved for entry into archive by Katy Davis(kdscannerosu@gmail.com) on 2014-04-14T20:58:44Z (GMT) No. of bitstreams: 1 BaeYoonG1968_Redacted.pdf: 849285 bytes, checksum: 22002da88562a63bbecc95e8327fbb30 (MD5)
  • description.provenance : Made available in DSpace on 2014-04-14T20:58:44Z (GMT). No. of bitstreams: 1 BaeYoonG1968_Redacted.pdf: 849285 bytes, checksum: 22002da88562a63bbecc95e8327fbb30 (MD5) Previous issue date: 1967-08-21
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-04-11T13:49:58Z (GMT) No. of bitstreams: 1 BaeYoonG1968_Redacted.pdf: 849285 bytes, checksum: 22002da88562a63bbecc95e8327fbb30 (MD5)

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