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Will the energy of a randomly driver harmonic oscillator grow to infinity or...

The equation of motion for an undamped harmonic oscillator, with driver $ f=f(t)$ is given by: $ $ \ddot{x}+x=f.$ $ Let the initial conditions be given by: $ $ x(0)=\dot{x}(0)=0.$ $ If $ f=\cos(t)$...

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lyapunov spectrum of lorenz oscillator

Here is my try to calculate lyapunov spectrum of lorenz oscillator. I followed step by step from boost library program, but I can not reproduce the results. import numpy as np import pylab as pl from...

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How to code oscillator driven by Gaussian white noise?

I have written some python code which was designed to try to solve the following differential equation: $ $ \ddot{x}+\omega_0^2x=\eta(t),$ $ where $ \eta(t)$ is the gaussian white noise, with mean 0...

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Perturbed phase oscillator integration

I am integrating a system of perturbed phase oscillators. I define the system of equation and also the Jacobian matrix. I have to reshape the one dimensional vector of system state to a 2 dimensional...

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Simple Harmonic Oscillator Python

****Hi, so i found this code but i can´t understand it as I am only a beginner to Python. Could someone help me please?**** import math from pylab import * xt = [3] t = [0] k = 0.50 dt = 0.0001 Vx = 0...

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