Media Summary: This is the exact same simulation as the previous double and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula. Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This double
Appdynsys Spherical Pendulum Initial Conditions - Detailed Analysis & Overview
This is the exact same simulation as the previous double and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula. Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This 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 you can build (or find for sale) pendular configurations built from objects other than rigid rods. this one, made from solid rings, ...
Let's repeat the simulation of the (chaotic!) double Let's take a look at that same simulation of a double Here we use the equations of motion we derived for theta and phi from the last video to simulate the This is part of a series of short simulations without audio on applied dynamical systems...) We've seen that an inverted