Applets:

Driven Pendulum

The driven pendulum applet is composed of a pendulum driven by a sinusoidal driving force under the effects of gravity and friction.  The behaviors of this system are characterized in Time Series, Phase Diagrams, Poincaré Sections, Power Spectrums, and Bifurcation Diagrams.  This applet also allows the ability to add multiple pendulums to demonstrate the Butterfly Effect.

Chaotic Wedge

The chaotic wedge applet is composed of a ball bouncing in a two-dimensional gravitational wedge.  The behavior of this system is characterized in a Poincaré Section.

Double Pendulum

The double pendulum applet is composed to two pendulums moving in a system where energy is conserved.  Depending on the defined total energy of the system, the system can exhibit periodic or chaotic behaviors.  These characteristics are mapped in Trajectory Space, Phase Space, and Poincaré Section.

Diode Resonator

The diode resonator circuit is composed of an inductor and diode in series.  When driven at a constant frequency with variant driving amplitudes, the system will exhibit rich chaotic behavior ranging from periodic to chaotic.  These characteristics are mapped by Time Series, Power Spectrum, X-Y Series, Phase Space, Poincaré Sections, and Bifurcation Diagrams.  As well as simulated, this circuit has been done in conjuncture with the laboratory.

Coupled Resonator

The coupled resonator circuit is composed of two diode resonator circuits connected in parallel.  This new circuit follows a quasiperiodic route to chaos.  This route has been mapped by Time Series, X-Y Diagrams, and Power Spectrums.  This simulation was created as a model for my Final Project done in Jr. Lab.