Appdynsys Spherical Pendulum Initial Conditions

If we change the type of joint on a

The previous simulation of a

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

This is the exact same simulation as the previous double

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

let's see what happens when we simulate a

An undamped

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

and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula.

why stop with a double

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

This is part of a series of short simulations without audio on applied dynamical systems...) This simple simulation of rigid-rod ...

The phase space of a

A simple

you can build (or find for sale) pendular configurations built from objects other than rigid rods. this one, made from solid rings, ...

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

The trajectory of a

Here we use the equations of motion we derived for theta and phi from the last video to simulate the

This is a simulation of a