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

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 What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on 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. Let's repeat the simulation of the (chaotic!) double

Let's take a look at that same simulation of a double What is spin, and why does every particle in the universe have it? In this episode of The Sleeping Physicist, we explore why聽... you can build (or find for sale) pendular configurations built from objects other than rigid rods. this one, made from solid rings,聽... Download notes for THIS video HERE: Download notes for my other videos: Deriving the聽... This is part of a series of short simulations without audio on applied dynamical systems...) This simple simulation of rigid-rod聽...

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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 : Double pendulum : SDIC
AppDynSys : Pendumonium : Triple Pendulum
AppDynSys : Phase Space : Undamped Pendulum
AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Pendumonium : Stranger Things
AppDynSys : Phase Space : Damped Pendulum
AppDynSys : Universal Joint : Double Pendulum
AppDynSys : Universal Joint : Double Pendulum Bottom
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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

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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 : Double pendulum : SDIC

AppDynSys : Double pendulum : SDIC

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

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AppDynSys : Pendumonium : Triple Pendulum

AppDynSys : Pendumonium : Triple Pendulum

why stop with a double

AppDynSys : Phase Space : Undamped Pendulum

AppDynSys : Phase Space : Undamped Pendulum

An undamped

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 : Phase Space : Damped Pendulum

AppDynSys : Phase Space : Damped Pendulum

The phase space of a

AppDynSys : Universal Joint : Double Pendulum

AppDynSys : Universal Joint : Double Pendulum

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

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 : 2nd Order ODEs : Pendulum

AppDynSys : 2nd Order ODEs : Pendulum

A simple

AppDynSys : Double Pendulum : Chaos

AppDynSys : Double Pendulum : Chaos

What happens if, instead of shaking a

Spherical pendulum

Spherical pendulum

The trajectory of a

Why Do Particles Have Spin If They Don鈥檛 Even Spin?

Why Do Particles Have Spin If They Don鈥檛 Even Spin?

What is spin, and why does every particle in the universe have it? In this episode of The Sleeping Physicist, we explore why聽...

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,聽...

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聽...

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聽...

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