Media Summary: Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This This is the exact same simulation as the previous What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on initial conditions.

Appdynsys Spherical Pendulum Double - Detailed Analysis & Overview

Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This This is the exact same simulation as the previous What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on initial conditions. Let's take a look at that same simulation of a Let's repeat the simulation of the (chaotic!) Download notes for THIS video HERE: Download notes for my other videos: Deriving the聽...

let's see what happens when we simulate a Here we use the equations of motion we derived for theta and phi from the last video to simulate the This is a fully nonlinear workup for the animation of the we can simulate more than simply chains... here's a compound

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AppDynSys : Spherical Pendulum : Double
AppDynSys : Spherical Pendulum : Double Bottom View
AppDynSys : Spherical Pendulum : Spin Around
AppDynSys : Spherical Pendulum : Initial Conditions
Spherical pendulum (1.0.1)
AppDynSys : Pendumonium : Triple Pendulum
AppDynSys : Double pendulum : SDIC
AppDynSys : Universal Joint : Double Pendulum Bottom
AppDynSys : Universal Joint : Double Pendulum
AppDynSys : Double Pendulum : Chaos
Double spherical pendulum synchronization
Equations of Motion for the Spherical Pendulum (2DOF) Using Lagrange's Equations
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AppDynSys : Spherical Pendulum : Double

AppDynSys : Spherical Pendulum : Double

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

AppDynSys : Spherical Pendulum : Double Bottom View

AppDynSys : Spherical Pendulum : Double Bottom View

This is the exact same simulation as the previous

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AppDynSys : Spherical Pendulum : Spin Around

AppDynSys : Spherical Pendulum : Spin Around

The previous simulation of a

AppDynSys : Spherical Pendulum : Initial Conditions

AppDynSys : Spherical Pendulum : Initial Conditions

If we change the type of joint on a

Spherical pendulum (1.0.1)

Spherical pendulum (1.0.1)

Simulation and animation of a

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AppDynSys : Pendumonium : Triple Pendulum

AppDynSys : Pendumonium : Triple Pendulum

why stop with 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 : Universal Joint : Double Pendulum Bottom

AppDynSys : Universal Joint : Double Pendulum Bottom

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

AppDynSys : Universal Joint : Double Pendulum

AppDynSys : Universal Joint : Double Pendulum

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

AppDynSys : Double Pendulum : Chaos

AppDynSys : Double Pendulum : Chaos

What happens if, instead of shaking a

Double spherical pendulum synchronization

Double spherical pendulum synchronization

Simulation of

Equations of Motion for the Spherical Pendulum (2DOF) Using Lagrange's Equations

Equations of Motion for the Spherical Pendulum (2DOF) Using Lagrange's Equations

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

AppDynSys : Joints : Spherical

AppDynSys : Joints : Spherical

So...what's up with those

Spherical Pendulum

Spherical Pendulum

pendulum

AppDynSys : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's see what happens when we simulate a

Simulating the Spherical Pendulum with Mathematica

Simulating the Spherical Pendulum with Mathematica

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

AppDynSys : 2nd Order ODEs : Pendulum

AppDynSys : 2nd Order ODEs : Pendulum

A simple

Spherical Pendulum Animation

Spherical Pendulum Animation

This is a fully nonlinear workup for the animation of the

AppDynSys : Pendumonium : Compound Pendulum

AppDynSys : Pendumonium : Compound Pendulum

we can simulate more than simply chains... here's a compound

Motion of a Spherical Pendulum(H=1.001, L=0.03)

Motion of a Spherical Pendulum(H=1.001, L=0.03)

http://rasilse222.sakura.ne.jp/math_spherical.html.

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