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 repeat the simulation of the (chaotic!)

Appdynsys Spherical Pendulum Double Bottom - 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 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 part of a series of short simulations without audio on applied dynamical systems...) This simple simulation of rigid-rod ... and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula.

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AppDynSys : Spherical Pendulum : Double Bottom View
AppDynSys : Spherical Pendulum : Double
AppDynSys : Universal Joint : Double Pendulum
AppDynSys : Universal Joint : Double Pendulum Bottom
AppDynSys : Spherical Pendulum : Initial Conditions
AppDynSys : Double pendulum : SDIC
AppDynSys : Spherical Pendulum : Spin Around
AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Double Pendulum : Chaos
AppDynSys : Pendula : Stable & Unstable Equilibria
AppDynSys : 2nd Order ODEs : Pendulum
Double spherical pendulum synchronization
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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

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 : Spherical Pendulum : Initial Conditions

AppDynSys : Spherical Pendulum : Initial Conditions

If we change the type of joint on 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 : Spherical Pendulum : Spin Around

AppDynSys : Spherical Pendulum : Spin Around

The previous simulation of a

AppDynSys : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's see what happens when we simulate a

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

Double spherical pendulum synchronization

Double spherical pendulum synchronization

Simulation of

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.