Media Summary: 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 ...

Appdynsys Pendumonium Septuple Pendulum - Detailed Analysis & Overview

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 ... we can simulate more than simply chains... here's a compound Let's repeat the simulation of the (chaotic!) double What is chaotic dynamics? One of the hallmarks of chaos is something called SDIC = sensitive dependence on initial conditions.

Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This double spherical This is part of a series of short simulations without audio on applied dynamical systems...) We've seen that an inverted This is the exact same simulation as the previous double spherical After posting the video of horizontally-shaken pendula, several folk asked what happens if you vary the lengths or the masses of ... L1=L2=L3=L4=L5=L6=L7=1.0m, M1=M2=M3=M4=M5=M6=M7=1.0kg thetazero=pi/2.0 Time step is 10^-7 sec for numerical ... L1=L2=L3=L4=L5=L6=L7=1.0m, M1=M2=M3=M4=M5=M6=M7=1.0kg thetazero=pi-0.001 Time step is 10^-7 sec for numerical ...

Photo Gallery

AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Pendumonium : Stranger Things
AppDynSys : Pendumonium : Triple Pendulum
AppDynSys : Pendula : Stable & Unstable Equilibria
AppDynSys : Pendumonium : Compound Pendulum
AppDynSys : Universal Joint : Double Pendulum
AppDynSys : Double pendulum : SDIC
AppDynSys : Spherical Pendulum : Double
AppDynSys : Spherical Pendulum : Initial Conditions
AppDynSys : Pendula : Inverted, Shaken, & Stabilized
AppDynSys : 2nd Order ODEs : Pendulum
AppDynSys : Spherical Pendulum : Double Bottom View
View Detailed Profile
AppDynSys : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's see what happens when we simulate a

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 : Pendumonium : Triple Pendulum

AppDynSys : Pendumonium : Triple Pendulum

why stop with a double

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 : Pendumonium : Compound Pendulum

AppDynSys : Pendumonium : Compound Pendulum

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

AppDynSys : Universal Joint : Double Pendulum

AppDynSys : Universal Joint : Double Pendulum

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

AppDynSys : Spherical Pendulum : Double

AppDynSys : Spherical Pendulum : Double

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

AppDynSys : Spherical Pendulum : Initial Conditions

AppDynSys : Spherical Pendulum : Initial Conditions

If we change the type of joint on a

AppDynSys : Pendula : Inverted, Shaken, & Stabilized

AppDynSys : Pendula : Inverted, Shaken, & Stabilized

This is part of a series of short simulations without audio on applied dynamical systems...) We've seen that an inverted

AppDynSys : 2nd Order ODEs : Pendulum

AppDynSys : 2nd Order ODEs : Pendulum

A simple

AppDynSys : Spherical Pendulum : Double Bottom View

AppDynSys : Spherical Pendulum : Double Bottom View

This is the exact same simulation as the previous double spherical

AppDynSys : Double Pendulum : Chaos

AppDynSys : Double Pendulum : Chaos

What happens if, instead of shaking a

AppDynSys : Pendula : Keep shaking!

AppDynSys : Pendula : Keep shaking!

After posting the video of horizontally-shaken pendula, several folk asked what happens if you vary the lengths or the masses of ...

Septuple (7) pendulum starting from horizontal position / simulation / chaos

Septuple (7) pendulum starting from horizontal position / simulation / chaos

L1=L2=L3=L4=L5=L6=L7=1.0m, M1=M2=M3=M4=M5=M6=M7=1.0kg thetazero=pi/2.0 Time step is 10^-7 sec for numerical ...

Septuple (7) pendulum starting from vertical position / simulation / chaos

Septuple (7) pendulum starting from vertical position / simulation / chaos

L1=L2=L3=L4=L5=L6=L7=1.0m, M1=M2=M3=M4=M5=M6=M7=1.0kg thetazero=pi-0.001 Time step is 10^-7 sec for numerical ...

The Double Pendulum: The Most Chaotic Motion in Physics

The Double Pendulum: The Most Chaotic Motion in Physics

The double

Septuple pendulum varying last pendulum mass

Septuple pendulum varying last pendulum mass

Simulation of the

Stop and Go Pendulums

Stop and Go Pendulums

Full Experiment: https://stevespangler.com/experiments/magic-with-physics-