Chaotic maps

Tinkerbell map

The Tinkerbell map is a discrete-time dynamical system given by: Some commonly used values of a, b, c, and d are * * Like all chaotic maps, the Tinkerbell Map has also been shown to have periods; after a certain number of mapping iterations any given point shown in the map to the right will find itself once again at its starting location. The origin of the name is uncertain; however, the graphical picture of the system (as shown to the right) shows a similarity to the movement of Tinker Bell over Cinderella Castle, as shown at the beginning of all films produced by Disney. (Wikipedia).

Tinkerbell map
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The Beauty of Fractal Geometry (#SoME2)

0:00 — Sierpiński carpet 0:18 — Pythagoras tree 0:37 — Pythagoras tree 2 0:50 — Unnamed fractal circles 1:12 — Dragon Curve 1:30 — Barnsley fern 1:44 — Question for you! 2:05 — Koch snowflake 2:26 — Sierpiński triangle 2:47 — Cantor set 3:03 — Hilbert curve 3:22 — Unnamed fractal squares 3

From playlist Summer of Math Exposition 2 videos

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mandelbrot fractal animation 5

another mandelbrot/julia fractal animation/morph.

From playlist Fractal

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mandelbrot fractal animation 3

red and green.

From playlist Fractal

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PotW: Halloween Monster Party [Logic Puzzle]

Happy Halloween from the Center of Math! If this video is confusing, be sure to check out our blog for the full solution transcript. https://centerofmathematics.blogspot.com/2018/10/problem-of-week-10-25-18-halloween.html

From playlist Center of Math: Problems of the Week

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Infinite Sierpinski Zoom

This is an infinite zoom on the famous Sierpinski triangle fractal. If you want to see six different constructions of this fractal, check out this long form video I made : https://youtu.be/IZHiBJGcrqI . #math #manim #fractal #sierpinski #zoom #infinite #shorts #mathshorts

From playlist Fractals

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mandelbrot fractal animation 4

blue, yellow and green.

From playlist Fractal

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How Much Money is There on Earth?

Thanks to Grey for his help on this video: http://www.youtube.com/user/CGPGrey Thanks to Jack for helping with the intro: http://www.youtube.com/user/jackvslife LINKS AND SOURCES TO LEARN MORE BELOW. music by http://www.youtube.com/JakeChudnow GlobalRichList.com: http://www.globalrichlis

From playlist Human Behavior

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GoGaRuCo 2010 - Eschew Obfuscation and Omit Needless Words: Writing Clear Acceptance Tests

by: Elisabeth Hendrickson Modern acceptance testing frameworks like Cucumber express tests in natural language, enabling organizations to establish their own Domain Specific Languages (DSLs). This powerful capability is a huge boon for communication: technical team members and non-technic

From playlist GoGaRuCo 2010

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This Mandelbulb fractal is real!

A fractal just grew from my desk! Testing my Shadertoy plugin for After Effects ^_^

From playlist Shorts

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Drawing Sets complete in venn diagram

drawing venn diagram with geogebra, teh video going to guide how draw venn diagram from geogebra. dont forget subscribe to others our videos

From playlist Geogebra Videos

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Fractals are typically not self-similar

An explanation of fractal dimension. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/fractals-thanks And by Affirm: https://www.affirm.com/careers H

From playlist Explainers

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Tinkerbell Can't Keep Up | Deadliest Catch

Watch DEADLIEST CATCH Tuesdays 9/8c on Discovery. | http://www.discovery.com/tv-shows/deadliest-catch#mkcpgn=ytdsc1 | Cape Caution greenhorn Kelly Collins, aka Tinkerbell, struggles to keep up with the pace. "He's really screwing us," says Capt. Bill.

From playlist Deadliest Catch

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How to Invent the Future by Playing Online Games: SuperStruct

Jane McGonigal, Director of Game Research and Development at the Institute for the Future, explores the theory behind massively multiplayer forecasting games and the design principles of her project, Superstruct. He reveals the most interesting insights from the first 10 days of live gamep

From playlist Engineering

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Making a Mandelbrot fractal explorer in Unity

This is the first of two videos in which we will create a mandelbrot fractal explorer. With only a few lines of code we will conjure up an endless universe of spirals and other patterns. At the end of this video you will be able to zoom and move around the mandelbrot fractal fluidly and wi

From playlist Unity Tutorials

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Lec 34 | MIT 3.091 Introduction to Solid State Chemistry

Two-component Phase Diagrams: Limited Solid Solubility Lever Rule View the complete course at: http://ocw.mit.edu/3-091F04 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.091 Introduction to Solid State Chemistry, Fall 2004

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RubyConf 2009 - Ruby Game Development with Jemini by: Logan Barnett, Jay McGavren

Help us caption & translate this video! http://amara.org/v/GX5I/

From playlist RubyConf 2009

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How I Clean My Ferret Cage | Emzotic

Let's clean my pet ferrets enclosure! ⭐My Ferret Cage: https://amzn.to/3kShfBn 🍊Angry Orange Pet Odor Eliminator: https://amzn.to/306L6Os ☁CareFresh Small Pet Bedding: https://amzn.to/30841Iv ☁Kaytee Small Pet Bedding: https://amzn.to/309nSae 👉 Check out my book 'Animal Kind' by Emma Loc

From playlist BONUS WEASELS

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Ancient Aliens: DRUID RITUALS UNCOVER UFO HOTSPOT (Season 14) | History

Watch all new episodes of Ancient Aliens returning soon, and stay up to date on all of your favorite History Channel shows at https://history.com/schedule. At Mystery Hill in New Hampshire, a giant stone slab is linked to the bodies of sacrificed victims, also known as Bog Bodies, in this

From playlist Ancient Aliens: Official Series Playlist | New Episodes Fridays at 9/8c | History

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Shifting absolute value graphs | Mathematics II | High School Math | Khan Academy

The graph of y=|x-k|+h is the graph of y=|x| shifted k units to the right and h units up. See worked examples practicing this relationship. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-absolute-value/math2-graphs-of-abs-value/v/scaling-and-reflectin

From playlist Algebra 2 | Get Ready for Grade Level | Khan Academy

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mandelbrot fractal animation 6

another mandelbrot/julia/mix animation. this time the rainbow colors fit really well, so I left them.

From playlist Fractal

Related pages

List of chaotic maps | Dynamical system