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Introduction All fractals can be generated using an Iterated Function System (IFS). An IFS consists of a function f which is executed in a feedback loop, also known to computer students as a recursive function. That means, the output of the function is given as input when the function calls itself. The first time the …
Just before finishing enjoyable to write, lovely all encompassing post, some interest to ignite curiosity... Mandelbrot Set, Dynamical Systems, Mathematics, Physics, Arts by Rendering, Cryptography and Spirituality https://youtu.be/0jGaio87u3A A groundbreaking record in the numbet of itterations in a Mandelbrot Set https://youtu.be/FFftmWSzgmk Mandelbrot Set Explained https://youtu.be/apP1Q7v6M7Y The Buddhabrot Technique Explaned (by Melinda Green) The Dynamicsl Approach …
If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same universe at a succeeding moment - Henri Poincaré In "Routes to Chaos: The Non-Linear Dynamical System Approach – Part I" we gave a short introduction of the subject, …
“Big whorls have little whorls that feed on their velocity, and little whorls have lesser whorls and so on to viscosity” – Lewis Fry Richardson Introduction Although this post shall take great advantage of the notion of vorticity to get a glimpse on the small scale organized fluid elements of significant life-time and scale we call …
Motivation: There are various type of instabilities for a number of flow patterns. The intention of this post is to investigate how these instabilities may trigger laminar-turbulent transition. I shall do my best to classify these routes leading from a stable laminar to a disturbed one flow, and base my path on the mechanisms responsible …
Continue reading Transition to Turbulence Series – Transition Scenarios