Anurag·Oct 31How Two Variables Can Make a Neuron Spike and RecoverWhy the same push can trigger a spike at one moment and nothing at another, in a two-variable neuron model.
Mathcube·Oct 28The Mandelbrot Set Contains the Logistic MapSlice the most famous fractal along its real axis and population biology’s route to chaos appears inside it, bulb for fork.A response icon2A response icon2
Ralf Becker·Oct 23The Hopalong “Attractor” That Isn’t OneA classic computer-art map has no attractor. Here is how to see its regular and chaotic regions with a few lines of Python and numba.A response icon1A response icon1
Mathcube·Oct 14Chaos Has Islands. The Slice Poincaré Invented for the Three-Body Problem Finds Them.Poincaré’s slice finds a conservation law with no exact formula, and watches chaos grow from 0.5 % to half the motion.A response icon1A response icon1
InStellar PriorsbyVictor Astren·Sep 25Dynamical Systems: The Geometry Behind Differential EquationsFrom the nonlinear pendulum to stability and Poincaré’s qualitative dynamics
Ahmed M. Hala·Sep 10The 3D Navier — Stokes Equations Problem : Solution RevisitedLast year, I posted an article on Medium.com using elements of chaos theory to propose a solution to the infamous 3D Navier — Stokes…
InPuzzle SpherebyLiat Portal·Sep 9Revenge of the Industrial Engineering and Management NerdsThe Liat Show: A Story Unfolding Across Timelines.
Alex Martins·Sep 1How Summing the Digits of n^k Unlocks Hidden Structure in Dynamical SystemsA simple arithmetic trick taught in primary school leads to a non-convergent, oscillating, and deeply structured mathematical universe.
The Pied Piper·Jul 29Proving Your Instruments Work Before Trusting What They Tell YouOr: what happened when I tried to find hidden order in chaos, and had to catch my own bugs first.
