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

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. 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 Let's repeat the simulation of the (chaotic!) double This is part of a series of short simulations without audio on applied dynamical systems...) This simple simulation of rigid-rod ...

This is the exact same simulation as the previous double spherical This is part of a series of short simulations without audio on applied dynamical systems...) We've seen that an inverted

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AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Pendumonium : Stranger Things
AppDynSys : Pendumonium : Triple Pendulum
AppDynSys : Double pendulum : SDIC
AppDynSys : Spherical Pendulum : Double
AppDynSys : Universal Joint : Double Pendulum
AppDynSys : 2nd Order ODEs : Pendulum
AppDynSys : Pendula : Stable & Unstable Equilibria
AppDynSys : Phase Space : Damped Pendulum
AppDynSys : Double Pendulum : Chaos
AppDynSys : Spherical Pendulum : Double Bottom View
AppDynSys : Spherical Pendulum : Initial Conditions
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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 : 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

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AppDynSys : Universal Joint : Double Pendulum

AppDynSys : Universal Joint : Double Pendulum

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

AppDynSys : 2nd Order ODEs : Pendulum

AppDynSys : 2nd Order ODEs : Pendulum

A simple

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 : Phase Space : Damped Pendulum

AppDynSys : Phase Space : Damped Pendulum

The phase space of a

AppDynSys : Double Pendulum : Chaos

AppDynSys : Double Pendulum : Chaos

What happens if, instead of shaking a

AppDynSys : Spherical Pendulum : Double Bottom View

AppDynSys : Spherical Pendulum : Double Bottom View

This is the exact same simulation as the previous 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