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

Appdynsys Spherical Pendulum Initial Conditions - Detailed Analysis & Overview

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

This is part of a series of short simulations without audio on applied dynamical systems...) This simple simulation of rigid-rod ... Let's take a look at that same simulation of a double

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

AppDynSys : Universal Joint : Double Pendulum

AppDynSys : Universal Joint : Double Pendulum

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

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

AppDynSys : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's see what happens when we simulate a

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 : 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 : 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 : Universal Joint : Double Pendulum Bottom

AppDynSys : Universal Joint : Double Pendulum Bottom

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

Spherical pendulum

Spherical pendulum

The trajectory of a