Media Summary: This is part of a series of short simulations without audio on applied dynamical systems...) I wonder what happens when you ... This is part of a series of short simulations without audio on applied dynamical systems...) We've seen that an inverted This is part of a series of short simulations without audio on applied dynamical systems...) This simple simulation of rigid-rod ...

Appdynsys Pendula Horizontal Shake - Detailed Analysis & Overview

This is part of a series of short simulations without audio on applied dynamical systems...) I wonder what happens when you ... This is part of a series of short simulations without audio on applied dynamical systems...) We've seen that an inverted This is part of a series of short simulations without audio on applied dynamical systems...) This simple simulation of rigid-rod ... let's see what happens when we simulate a What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on initial conditions. In this (boring!) video, we have a pair of

The 2nd order differential equation for the frictionless bead on a spinning hoop has a phase portrait that generalizes what we saw ... One good physical example of a saddle node bifurcation occurs with a damped

Photo Gallery

AppDynSys : Pendula : Horizontal shake
AppDynSys : Pendula : Keep shaking!
AppDynSys : Rollers : Horizontal shake
AppDynSys : Pendula : Inverted, Shaken, & Stabilized
AppDynSys : Pendula : Stable & Unstable Equilibria
AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Spherical Pendulum : Double
AppDynSys : Double pendulum : SDIC
AppDynSys : Coupled Oscillators : Uncoupled Pendula
AppDynSys : Spherical Pendulum : Initial Conditions
AppDynSys : 2nd Order ODEs : Pendulum
AppDynSys : 2nd Order ODEs : Spinning Hoop Phase Portrait
View Detailed Profile
AppDynSys : Pendula : Horizontal shake

AppDynSys : Pendula : Horizontal shake

This is part of a series of short simulations without audio on applied dynamical systems...) I wonder what happens when you ...

AppDynSys : Pendula : Keep shaking!

AppDynSys : Pendula : Keep shaking!

After posting the video of

AppDynSys : Rollers : Horizontal shake

AppDynSys : Rollers : Horizontal shake

When it comes to

AppDynSys : Pendula : Inverted, Shaken, & Stabilized

AppDynSys : Pendula : Inverted, Shaken, & Stabilized

This is part of a series of short simulations without audio on applied dynamical systems...) We've seen that an inverted

AppDynSys : Pendula : Stable & Unstable Equilibria

AppDynSys : Pendula : Stable & Unstable Equilibria

This is part of a series of short simulations without audio on applied dynamical systems...) This simple simulation of rigid-rod ...

AppDynSys : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's see what happens when we simulate a

AppDynSys : Spherical Pendulum : Double

AppDynSys : Spherical Pendulum : Double

Spherical

AppDynSys : Double pendulum : SDIC

AppDynSys : Double pendulum : SDIC

What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on initial conditions.

AppDynSys : Coupled Oscillators : Uncoupled Pendula

AppDynSys : Coupled Oscillators : Uncoupled Pendula

In this (boring!) video, we have a pair of

AppDynSys : Spherical Pendulum : Initial Conditions

AppDynSys : Spherical Pendulum : Initial Conditions

If we change the type of joint on a

AppDynSys : 2nd Order ODEs : Pendulum

AppDynSys : 2nd Order ODEs : Pendulum

A simple

AppDynSys : 2nd Order ODEs : Spinning Hoop Phase Portrait

AppDynSys : 2nd Order ODEs : Spinning Hoop Phase Portrait

The 2nd order differential equation for the frictionless bead on a spinning hoop has a phase portrait that generalizes what we saw ...

AppDynSys : Bifurcation Examples : Torqued Pendulum

AppDynSys : Bifurcation Examples : Torqued Pendulum

One good physical example of a saddle node bifurcation occurs with a damped