Mathieu Equation (Parametric Oscillator) by Siva Srinivas Kolukula

Numerical and phase plane analysis of Mathieu equation / parametric oscillator (rungekutta method, instability, ode45)

MathieuEquation(t,x)

ParametricOscillator.m

SpringPendulum by Siva Srinivas Kolukula

Simulation of Nonlinear Spring Pendulum (ode45, phase plane, spring pendulum)

Animation(ivp,duration,fps,movie,arrow)

Equation(t,x)

Spring.m

SimplePendulum by Siva Srinivas Kolukula

Simulation of Nonlinear Simple Pendulum (animation, sdof, simple pendulum)

Animation(ivp, duration, fps, movie, arrow)

Equation(~,x)

arrowh(x,y,clr,ArSize,Where)

Bead on a rotating hoop by Siva Srinivas Kolukula

To study the motion of a bead on a rotating hoop/wire or ring. (animation, bead on rotating hoop, nonlinear equations)

Animation(ivp, duration, fps, movie)

Equation(t,x)

BeadOnRotatingHoop.m

Phase plane plot by jayanta basu

plots the phase plane plot of a second order system (graphics, phase plane, specialized)

ydot=eqn(t,y);

phase_plane.m