Real-time finite difference bifurcation diagrams from analog electronic circuits

Hellen, Edward H.

doi:doi:10.1119/1.1643374

Keyword
Volume/Page
DOI
Advanced

Search Content Type

Volume: Page/Article:

article doi:

You are not logged into this journal. Log In

Previous Article | Next Article

American Journal of Physics -- April 2004 -- Volume 72, Issue 4, pp. 499

Real-time finite difference bifurcation diagrams from analog electronic circuits

Edward H. Hellen

Department of Physics and Astronomy, University of North Carolina at Greensboro, Greensboro, North Carolina 27402

Alerts
- Alert Me When Cited
- Alert Me When Corrected
Tools
Share
- Email Abstract
- Connotea
- CiteULike
- del.icio.us
- BibSonomy
- Tweet this Article
- Add to Facebook

Abstract

References (9)

Citing Articles (1)

Related Content

Full Text: Read Online (HTML) | Download PDF | Buy PDF (US$30) | View Cart

Bifurcation diagrams are a convenient way of displaying the variety of behaviors exhibited by nonlinear systems. One of the simplest nonlinear systems is a finite difference equation with a quadratic return map. This system exhibits a range of behaviors: stability, periodic oscillations, and chaos. We present simple inexpensive electronic circuits that perform analog computations of bifurcation diagrams for finite difference equations with quadratic return maps. These bifurcation diagrams, including one for the logistic equation, are easily displayed on an oscilloscope and agree well with analytical and computational predictions. © 2004 American Association of Physics Teachers.