Media Summary: Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This double This is the exact same simulation as the previous double let's see what happens when we simulate a

Appdynsys Spherical Pendulum Initial Conditions - Detailed Analysis & Overview

Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This double This is the exact same simulation as the previous double 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 and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula. Let's take a look at that same simulation of a double

Let's repeat the simulation of the (chaotic!) double you can build (or find for sale) pendular configurations built from objects other than rigid rods. this one, made from solid rings, ...

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AppDynSys : Spherical Pendulum : Initial Conditions
AppDynSys : Spherical Pendulum : Spin Around
AppDynSys : Spherical Pendulum : Double
AppDynSys : Spherical Pendulum : Double Bottom View
AppDynSys : Pendumonium : Triple Pendulum
AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Double pendulum : SDIC
AppDynSys : Pendumonium : Stranger Things
AppDynSys : Phase Space : Undamped Pendulum
AppDynSys : Universal Joint : Double Pendulum Bottom
AppDynSys : Universal Joint : Double Pendulum
AppDynSys : Phase Space : Damped Pendulum
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AppDynSys : Spherical Pendulum : Initial Conditions

AppDynSys : Spherical Pendulum : Initial Conditions

If we change the type of joint on a

AppDynSys : Spherical Pendulum : Spin Around

AppDynSys : Spherical Pendulum : Spin Around

The previous simulation of a

AppDynSys : Spherical Pendulum : Double

AppDynSys : Spherical Pendulum : Double

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

AppDynSys : Spherical Pendulum : Double Bottom View

AppDynSys : Spherical Pendulum : Double Bottom View

This is the exact same simulation as the previous double

AppDynSys : Pendumonium : Triple Pendulum

AppDynSys : Pendumonium : Triple Pendulum

why stop with a double

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AppDynSys : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's see what happens when we simulate a

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

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 : Phase Space : Undamped Pendulum

AppDynSys : Phase Space : Undamped Pendulum

An undamped

AppDynSys : Universal Joint : Double Pendulum Bottom

AppDynSys : Universal Joint : Double Pendulum Bottom

Let's take a look at that same simulation of a double

AppDynSys : Universal Joint : Double Pendulum

AppDynSys : Universal Joint : Double Pendulum

Let's repeat the simulation of the (chaotic!) double

AppDynSys : Phase Space : Damped Pendulum

AppDynSys : Phase Space : Damped Pendulum

The phase space of a

AppDynSys : Pendumonium : Strange Rings

AppDynSys : Pendumonium : Strange Rings

you can build (or find for sale) pendular configurations built from objects other than rigid rods. this one, made from solid rings, ...