Media Summary: An example from Marion & Thornton, "Classical Dynamics of Particles and Systems" 5th ed., Section 4.6 " Chaos Manifest in a Damped Driven Pendulum d²θ/dt² = -c dθ/dt - sin(θ) +F*cos(ω*t) with c=0.05; ω=0.7; F=0.4 the initial developement looks very similar to the case where F=0.6.
Chaotic Damped Driven Pendulum Evolution - Detailed Analysis & Overview
An example from Marion & Thornton, "Classical Dynamics of Particles and Systems" 5th ed., Section 4.6 " Chaos Manifest in a Damped Driven Pendulum d²θ/dt² = -c dθ/dt - sin(θ) +F*cos(ω*t) with c=0.05; ω=0.7; F=0.4 the initial developement looks very similar to the case where F=0.6. This is a simple animation showing the sensitivity to initial conditions for a Simulation of two driven pendulums - Chaos 3220 Project 2: Chaotic Damped-Driven Pendulum in Python
With the driving frequency omega = 0.3 sqrt(g/l), the system has a periodic solution. So, the Poincare Map reduces to a single ... I discuss my creation of python code for a
