Nonlinear Dynamical Systems Laboratory


Activity Type dimension Linear or

Nonlinear

comments
Cover sheet

(cover.pdf)

       
Table of contents

(TabofCont.pdf)

       
Numerical Methods

(numethod.pdf)

computation 1D L Euler, Matlab, Differential Systems
Cooling

(cooling.pdf)

experiment 1D L phase plot, initial conditions
RC circuit

(rccircuit.pdf)

experiment 1D L phase plot, initial conditions
Titration

(titration.pdf)

experiment 1D N phase plot, initial conditions
Terminal velocity

(terminal.pdf)

experiment 1D L phase plot, initial conditions
Bead on a hoop

(beadhoop.pdf)

experiment bifurcation N bifurcation
Simple harmonic

oscillator

(dampSHO.pdf)

experiment 2D L phase plot, initial conditions, 
RLC circuit

(rlccircuit.pdf)

experiment 2D L phase plot, initial conditions
Simple harmonic oscillator

(SHOcomp.pdf)

computation 2D L phase plot, initial conditions
Coupled oscillators

(coupled.pdf)

experiment multi L phase plot, normal modes, Fourier spectra
Ship stability

(shipstab.pdf)

computation multi N resonance, period doubling, stability
Spinning magnet

(spinmag.pdf)

Addendum-Matlab

(spinmAdd.pdf)

experiment multi N periodic, period doubling, chaos

Poincare sections

Dripping faucet

(dripping.pdf)

experiment discrete N periodic, two periods, chaos,

discrete, return map