- Project Background:
Simple electrical circuits enable us to study the behavior of
model dynamical systems.
In ordinary differential equations we notice the unification of
spring-mass systems and simple electrical circuits through the theory
of simple harmonic motion.
Electrical circuits are capable of demonstrating richer dynamical
behavior than simple mechanical systems.
- Project Description:
The student will participate in the construction of electrical
circuits and measure their behavior using an oscilloscope.
The behaviors of the circuits will be compared to the dynamical
behavior of mathematical models of the circuits.
The student will apply various dynamical system theories to the
mathematical models and use them to predict behaviors in the circuits.
- Desired Student Background:
Ability to program in a high-level language, preferably Mathematica, C/C++, or FORTRAN, physics/electronics knowledge
equivalent to PHYS 232, and mathematical knowledge at the
level of MATH 365 Ordinary Differential Equations.