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ERIC Number: EJ1003247
Record Type: Journal
Publication Date: 2012-Nov
Pages: 5
Abstractor: As Provided
Reference Count: 8
ISSN: ISSN-0031-9120
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.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A