NotesFAQContact Us
Collection
Advanced
Search Tips
Back to results
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ1003247
Record Type: Journal
Publication Date: 2012-Nov
Pages: 5
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0031-9120
EISSN: N/A
Available Date: N/A
Visualizing the Logistic Map with a Microcontroller
Serna, Juan D.; Joshi, Amitabh
Physics Education, v47 n6 p736-740 Nov 2012
The logistic map is one of the simplest nonlinear dynamical systems that clearly exhibits the route to chaos. In this paper, we explore the evolution of the logistic map using an open-source microcontroller connected to an array of light-emitting diodes (LEDs). We divide the one-dimensional domain interval [0,1] into ten equal parts, an associate and LED to each segment. Every time an iteration takes place a corresponding LED turns on, indicating the value returned by the logistic map. By changing some initial conditions of the system, it is easy to observe the transition from order to chaos exhibited by this map. (Contains 3 figures and 1 box.)
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://journals.iop.org
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A