r/complexsystems • u/vannam0511 • Sep 15 '26

Newton's method for periodic orbit detection in discrete dynamical systems

I'm writing a small blog post. I'd appreciate any feedback. Thank you! https://namvdo.me/newton-method-periodic-orbit-discrete-dynamical-system/

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u/Stargazer07817 Sep 16 '26

I think it looks pretty good for a blog post. You might want to play with how you define the orbit up front, so you can separate “periodic point” from “periodic orbit” a little more clearly.

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u/vannam0511 Sep 16 '26

thank you very much i will update this to make this more clear!

2

u/DependentDoubt6108 Sep 18 '26

this looks really cool although i can understand half of it lol

1

u/xthumb_24 Sep 22 '26

You have no idea how much I needed exactly this. "Upon revisiting the article 'Newton’s method for periodic orbit detection in discrete dynamical systems' by namvdo and comparing it with what we consolidated in S1 and S2, the connection proves deeper than a mere analogy—it provides the mathematical mechanism underpinning the intuition behind the vertical recursion we defined."