4D Poincare surface of sections

Thread starter Shahzadi
Start date Sep 16, 2024
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4d Poincare Surface

In summary, the 4D Poincaré surface of sections is a mathematical concept used in dynamical systems to visualize and analyze the behavior of trajectories in four-dimensional phase space. It involves taking cross-sections of the space at regular intervals to examine the structure and properties of orbits, revealing insights into the system's stability, periodicity, and chaotic behavior. This technique is particularly useful in studying complex systems where traditional methods may be challenging to apply.

Sep 16, 2024

Shahzadi

TL;DR Summary: I'm trying to plot a 4D Poincaré surface of sections for a system with 3 degrees of freedom. I have written a code for this. The code provides results for the integration of motion, but it does not generate the data points needed to plot the Poincaré surface of section. However, the same code works very well in generating data points to plot the Poincaré surface of section when I change the dynamical system to 2 degrees of freedom.

Can anyone help me with this? I have posted my code at the below:

https://mathematica.stackexchange.com/questions/306820/4d-poincare-surface-of-sections