PHYS30471

Code examples for Introduction to Non-linear Physics course

• Template for 1D ODE solution ODE_1D.ipynb (Open in Google Colab )
• Template for 2D ODE solution ODE_2D.ipynb (Open in Google Colab )
• Lorentz system example Lorentz.ipynb (Open in Google Colab )
• Basic numerical algorithms
  • Euler
  • Midpoint
  • 4th order Runge-Kutta
• Further Examples from the course
  • Logistic Map
  • ODE_2D_FNmodel.ipynb
  • ODE_2D_discussion.ipynb
  • ODE_2D_pendulum.ipynb
  • ODE_2D_phaseportraits.ipynb
  • ParametricPendulum_julia.ipynb
  • simple_parametricpendulum.ipynb
  • turing-patterns.ipynb
• Simple SymbolicExamples.ipynb )

How to use the notebooks

There are several ways to use this. One is start the Jupyter notebook on your laptop or university computer and open the downloaded notbook (use the "Raw" button to download the notebook).

An easier way which does not require anything installed on your computer is to click on one of the "Open in Google Colab" links. This works immediately if you have a Google account. You can make modifications to any of the notebooks and save them to your Google drive.

If you do not want to install anything, or you do not have a Google account you may use . It also opens the notebooks in the cloud, though it may take (much) longer to start. Also, if you want to save an edited notebook for future use you should download it (File->Download as->Notebook) to your computer.

Open in Google Colab