Media Summary: Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This This is the exact same simulation as the previous Let's repeat the simulation of the (chaotic!)

Appdynsys Spherical Pendulum Double - Detailed Analysis & Overview

Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This This is the exact same simulation as the previous 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

Download notes for THIS video HERE: Download notes for my other videos: Deriving the ... 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 : Double
AppDynSys : Spherical Pendulum : Double Bottom View
AppDynSys : Spherical Pendulum : Spin Around
AppDynSys : Spherical Pendulum : Initial Conditions
AppDynSys : Universal Joint : Double Pendulum
AppDynSys : Universal Joint : Double Pendulum Bottom
AppDynSys : Double pendulum : SDIC
AppDynSys : Joints : Spherical
Double spherical pendulum synchronization
Spherical pendulum (1.0.1)
Spherical pendulum
AppDynSys : Pendumonium : Septuple Pendulum!
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AppDynSys : Spherical Pendulum : Double

AppDynSys : Spherical Pendulum : Double

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

AppDynSys : Spherical Pendulum : Double Bottom View

AppDynSys : Spherical Pendulum : Double Bottom View

This is the exact same simulation as the previous

AppDynSys : Spherical Pendulum : Spin Around

AppDynSys : Spherical Pendulum : Spin Around

The previous simulation of a

AppDynSys : Spherical Pendulum : Initial Conditions

AppDynSys : Spherical Pendulum : Initial Conditions

If we change the type of joint on a

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 : 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 : Joints : Spherical

AppDynSys : Joints : Spherical

So...what's up with those

Double spherical pendulum synchronization

Double spherical pendulum synchronization

Simulation of

Spherical pendulum (1.0.1)

Spherical pendulum (1.0.1)

Simulation and animation of a

Spherical pendulum

Spherical pendulum

The trajectory of a

AppDynSys : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's see what happens when we simulate a

Spherical Pendulum

Spherical Pendulum

pendulum

Equations of Motion for the Spherical Pendulum (2DOF) Using Lagrange's Equations

Equations of Motion for the Spherical Pendulum (2DOF) Using Lagrange's Equations

Download notes for THIS video HERE: https://bit.ly/3jzrFVr Download notes for my other videos: https://bit.ly/37OH9lX Deriving the ...

AppDynSys : Double Pendulum : Chaos

AppDynSys : Double Pendulum : Chaos

What happens if, instead of shaking 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, ...

AppDynSys : Pendumonium : Triple Pendulum

AppDynSys : Pendumonium : Triple Pendulum

why stop with a

Spherical Pendulum

Spherical Pendulum

A simulation of a