The field of study of chaos has its roots in differential equations and dynamical systems, the very language that is used to describe how any physical system evolves in the real world. This video aims to tell the story of chaos step by step, from simple non-chaotic systems, to different types of attractors, to fractal spaces and the language of unpredictability.
Timestamps:
00:00 - Intro
02:17 - Dynamical Systems
04:11 - Attractors
06:28 - Lorenz Attractor: Strange
08:54 - Lorenz Attractor: Chaotic
Music by:
Karl Casey @ White Bat Audio
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LAKEY INSPIRED
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Lucas Tie
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References
Chaos: The Mathematics Behind the Butterfly Effect - James Manning
www.colby.edu/mathstats/wp-content/uploads/sites/81/2017/08/2017-Manning-Thesis.pdf
YFX1520 Nonlinear Dynamics Lecture 9 - Dmitri Kartofelev
www.ioc.ee/~dima/YFX1520/LectureNotes_9.pdf
Attractors: Nonstrange to Chaotic - Robert L. V. Taylor
evoq-eval.siam.org/Portals/0/Publications/SIURO/Vol4/Attractors_Nonstrange_to_Chaotic.pdf?ver=2018-04-06-103239-977
18 май 2021