Media Summary: Let's repeat the simulation of the (chaotic!) Let's take a look at that same simulation of a What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on initial conditions.

Appdynsys Universal Joint Double Pendulum - Detailed Analysis & Overview

Let's repeat the simulation of the (chaotic!) Let's take a look at that same simulation of a What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on initial conditions. let's see what happens when we simulate a This is the exact same simulation as the previous What happens if, instead of shaking a pendulum, we "pendulate" a pendulum and build a

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

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AppDynSys : Universal Joint : Double Pendulum
AppDynSys : Universal Joint : Double Pendulum Bottom
AppDynSys : Joints : Universal
AppDynSys : Double pendulum : SDIC
AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Spherical Pendulum : Double
AppDynSys : Pendumonium : Triple Pendulum
AppDynSys : Joints : Spherical
AppDynSys : Spherical Pendulum : Initial Conditions
AppDynSys : Spherical Pendulum : Double Bottom View
AppDynSys : Double Pendulum : Chaos
3D multipendulum with universal joints
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AppDynSys : Universal Joint : Double Pendulum

AppDynSys : Universal Joint : Double Pendulum

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

AppDynSys : Universal Joint : Double Pendulum Bottom

AppDynSys : Universal Joint : Double Pendulum Bottom

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

AppDynSys : Joints : Universal

AppDynSys : Joints : Universal

The 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 : 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 : Pendumonium : Triple Pendulum

AppDynSys : Pendumonium : Triple Pendulum

why stop with a

AppDynSys : Joints : Spherical

AppDynSys : Joints : Spherical

So...what's up with those spherical

AppDynSys : Spherical Pendulum : Initial Conditions

AppDynSys : Spherical Pendulum : Initial Conditions

If we change the type of

AppDynSys : Spherical Pendulum : Double Bottom View

AppDynSys : Spherical Pendulum : Double Bottom View

This is the exact same simulation as the previous

AppDynSys : Double Pendulum : Chaos

AppDynSys : Double Pendulum : Chaos

What happens if, instead of shaking a pendulum, we "pendulate" a pendulum and build a

3D multipendulum with universal joints

3D multipendulum with universal joints

3D multipendulum with universal joints

AppDynSys : Pendumonium : Compound Pendulum

AppDynSys : Pendumonium : Compound Pendulum

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