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• 09:01, 28 August 2023 Jalil talk contribs created page File:Coupled nonlinear oscillators.txt (## What is covered in this notebook * Introduction The Fermi-Pasta-Ulam (FPU) model : * Review of verlet algorithm. * Application of verlet algorithm to n nonlinear differential equations. * Analysis of solutions: * Relative amplitude of solutions and concept of normal modes. * How to make a Fourier transform and analysis of spectrum. * Effects of nonlinearities in the differential equation (Ergodicity). * Animation of solution.)
• 09:01, 28 August 2023 Jalil talk contribs uploaded File:Coupled nonlinear oscillators.txt (## What is covered in this notebook * Introduction The Fermi-Pasta-Ulam (FPU) model : * Review of verlet algorithm. * Application of verlet algorithm to n nonlinear differential equations. * Analysis of solutions: * Relative amplitude of solutions and concept of normal modes. * How to make a Fourier transform and analysis of spectrum. * Effects of nonlinearities in the differential equation (Ergodicity). * Animation of solution.)