File:Coupled nonlinear oscillators.txt: Difference between revisions
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## 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. |
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Latest revision as of 09:01, 28 August 2023
Summary
- 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.
File history
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| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 09:01, 28 August 2023 | (743 KB) | Jalil (talk | contribs) | ## 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. |
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