Record Details
Limit cycle detection of the Van der Pol equation
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Limit cycle detection of the Van der Pol equation |
| Names |
Bae, Yoon Goon
(creator) Stone, S. A. (advisor) |
| Date Issued | 1967-08-21 (iso8601) |
| Note | Graduation date: 1968 |
| 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. |
| Genre | Thesis/Dissertation |
| Topic | Calculus |
| Identifier | http://hdl.handle.net/1957/47288 |
