Media Summary: This is the exact same simulation as the previous Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This Let's take a look at that same simulation of a

Appdynsys Spherical Pendulum Double Bottom View - Detailed Analysis & Overview

This is the exact same simulation as the previous Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This Let's take a look at that same simulation of a Let's repeat the simulation of the (chaotic!) What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on initial conditions. 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 ...

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AppDynSys : Spherical Pendulum : Double Bottom View
AppDynSys : Spherical Pendulum : Double
AppDynSys : Universal Joint : Double Pendulum Bottom
AppDynSys : Spherical Pendulum : Initial Conditions
AppDynSys : Spherical Pendulum : Spin Around
AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Universal Joint : Double Pendulum
AppDynSys : Double pendulum : SDIC
AppDynSys : Pendumonium : Triple Pendulum
AppDynSys : Pendumonium : Stranger Things
AppDynSys : Double Pendulum : Chaos
AppDynSys : Pendula : Stable & Unstable Equilibria
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AppDynSys : Spherical Pendulum : Double Bottom View

AppDynSys : Spherical Pendulum : Double Bottom View

This is the exact same simulation as the previous

AppDynSys : Spherical Pendulum : Double

AppDynSys : Spherical Pendulum : Double

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

AppDynSys : Universal Joint : Double Pendulum Bottom

AppDynSys : Universal Joint : Double Pendulum Bottom

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

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 : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's

AppDynSys : Universal Joint : Double Pendulum

AppDynSys : Universal Joint : Double Pendulum

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

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 : Triple Pendulum

AppDynSys : Pendumonium : Triple Pendulum

why stop with 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 : Double Pendulum : Chaos

AppDynSys : Double Pendulum : Chaos

What happens if, instead of shaking a

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 : 2nd Order ODEs : Pendulum

AppDynSys : 2nd Order ODEs : Pendulum

A simple