Media Summary: let's see what happens when we simulate a and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula. 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 - Detailed Analysis & Overview

let's see what happens when we simulate a and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula. This is part of a series of short simulations without audio on applied dynamical systems...) This simple simulation of rigid-rod ... we can simulate more than simply chains... here's a compound What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on initial conditions. Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This double spherical

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

Photo Gallery

AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Pendumonium : Stranger Things
AppDynSys : Pendumonium : Triple Pendulum
AppDynSys : Pendula : Stable & Unstable Equilibria
AppDynSys : Pendumonium : Compound Pendulum
AppDynSys : Spherical Pendulum : Spin Around
AppDynSys : Double pendulum : SDIC
AppDynSys : Phase Space : Damped Pendulum
AppDynSys : Spherical Pendulum : Double
AppDynSys : Double Pendulum : Chaos
AppDynSys : 2nd Order ODEs : Pendulum
AppDynSys : Pendula : Inverted, Shaken, & Stabilized
View Detailed Profile
AppDynSys : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's see what happens when we simulate a

AppDynSys : Pendumonium : Stranger Things

AppDynSys : Pendumonium : Stranger Things

and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula.

AppDynSys : Pendumonium : Triple Pendulum

AppDynSys : Pendumonium : Triple Pendulum

why stop with a double

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 : Compound Pendulum

AppDynSys : Pendumonium : Compound Pendulum

we can simulate more than simply chains... here's a compound

AppDynSys : Spherical Pendulum : Spin Around

AppDynSys : Spherical Pendulum : Spin Around

The previous simulation of a 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 : Phase Space : Damped Pendulum

AppDynSys : Phase Space : Damped Pendulum

The phase space of a

AppDynSys : Spherical Pendulum : Double

AppDynSys : Spherical Pendulum : Double

Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This double spherical

AppDynSys : Double Pendulum : Chaos

AppDynSys : Double Pendulum : Chaos

What happens if, instead of shaking a

AppDynSys : 2nd Order ODEs : Pendulum

AppDynSys : 2nd Order ODEs : Pendulum

A simple

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 : Spherical Pendulum : Initial Conditions

AppDynSys : Spherical Pendulum : Initial Conditions

If we change the type of joint on a