Lyapunov's Fractal (that Lyapunov knew nothing about) #SoME2 Published 2022-08-16 Download video MP4 360p Recommendations 12:14 Is the Logistic Map hiding in the Mandelbrot Set? | #SoME3 26:52 Percolation: a Mathematical Phase Transition 21:53 1 Billion is Tiny in an Alternate Universe: Introduction to p-adic Numbers 21:36 Fractals are typically not self-similar 15:32 What is the graph of x^a when a is not an integer? An unusual look at familiar functions #some2 08:08 Decoding The Mandelbrot Set: Math’s Famed Fractal 18:39 This equation will change how you see the world (the logistic map) 26:29 Watch electricity hit a fork in the road at half a billion frames per second 38:25 The Mandelbrot Set: Atheists’ WORST Nightmare 25:56 This experiment confirmed quantum physics 17:10 The Completely Bizarre Physics Near Absolute Zero 15:57 The dark side of the Mandelbrot set 37:41 The math of how atomic nuclei stay together is surprisingly beautiful | Full movie #SoME2 18:55 The Feigenbaum Constant (4.669) - Numberphile 09:05 4th Dimension Explained By A High-School Student 27:36 Beyond the Mandelbrot set, an intro to holomorphic dynamics 09:01 Can you guess a shape from its shadows? 14:41 Seven Dimensions 12:12 Relationship between Mandelbrot set & Logistic map Similar videos 09:11 The Lyapunov stability theorem 00:23 Logistic Map zoom at the boundary between order and chaos 15:41 Ulam's Game: Liar's Mathematics (#SoME2) 10:22 Lyapunov Exponents & Sensitive Dependence on Initial Conditions 12:48 The recursion formula behind life itself? 09:05 Aleksandr Lyapunov 22:58 Fractal Dimension - Box-Counting & Correlation Dimension 04:55 e/π is pretty cool #some2 11:26 What's the Geometry of Numbers? - Minkowski's Theorem #SoME2 26:31 How to Take the Factorial of Any Number 1:54:31 Positive Lyapunov exponents and mixing in stochastic fluid flow. Part I - Samuel Punshon-Smith 17:18 Logistic Map, Part 1: Period Doubling Route to Chaos 15:19 Logistic Map, Part 2: Bifurcation Diagram and Self-Similarity 26:37 Numberphile's Square-Sum Problem was solved! #SoME2 18:09 Introduction To Symbolic Dynamics #SoME2 06:38 Nonlinear Dynamics: Computing Lyapunov Exponents Kantz, Etc. More results