Electronic Realization of a Chaotic Differential Equation
Document Type
Oral Presentation
Campus where you would like to present
SURC 140
Start Date
17-5-2012
End Date
17-5-2012
Abstract
An electronic realization of a third order nonlinear ordinary differential equation was designed and built using operational amplifiers, a voltage multiplier integrated circuit, and a variety of other electronic components. The behavior of the circuit was investigated both qualitatively and quantitatively, and modeled using Mathematica. As anticipated, the behavior of the system exhibited both periodic and aperiodic chaotic behavior as indicated by both qualitative examination of the phase space of the system and the spectrum of the largest characteristic Lyapunov exponent. The results of these investigations were used in conjunction with a program implemented in Mathematica to calculate the Lyapunov exponent for the chaotic differential equation for particular values of the control parameter.
Recommended Citation
Ingham, Matthew, "Electronic Realization of a Chaotic Differential Equation" (2012). Symposium Of University Research and Creative Expression (SOURCE). 143.
https://digitalcommons.cwu.edu/source/2012/oralpresentations/143
Additional Mentoring Department
Physics
Electronic Realization of a Chaotic Differential Equation
SURC 140
An electronic realization of a third order nonlinear ordinary differential equation was designed and built using operational amplifiers, a voltage multiplier integrated circuit, and a variety of other electronic components. The behavior of the circuit was investigated both qualitatively and quantitatively, and modeled using Mathematica. As anticipated, the behavior of the system exhibited both periodic and aperiodic chaotic behavior as indicated by both qualitative examination of the phase space of the system and the spectrum of the largest characteristic Lyapunov exponent. The results of these investigations were used in conjunction with a program implemented in Mathematica to calculate the Lyapunov exponent for the chaotic differential equation for particular values of the control parameter.
Faculty Mentor(s)
Michael Braunstein