Indiana University Purdue University Indianapolis

Mathematical Modeling of Physical Systems I

MATH 57800

3

MATH 26600, PHYS 15200, PHYS 25100, and consent of instructor


Fall


Linear systems modeling, mass-spring-damper systems, free and forced vibrations, applications to automobile suspension, accelerometer, seismograph, etc., RLC circuits, passive and active filters, applications to crossover networks and equalizers, nonlinear systems, stability and bifurcation, dynamics of a nonlinear pendulum, van der Pol oscillator, chemical reactor, etc., introduction to chaotic dynamics, identifying chaos, chaos suppression and control, computer simulations, and laboratory experiments.