Chaos Theory: The Language of (In)stability

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
https://www.youtube.com/watch?v=Gao-DHIyj0Q&ab_channel=WhiteBatAudio
https://www.youtube.com/watch?v=2gsn1HrDtdI&ab_channel=WhiteBatAudio
https://www.youtube.com/channe....l/UC_6hQy4elsyHhCOsk
LAKEY INSPIRED
https://soundcloud.com/lakeyinspired
https://www.youtube.com/channe....l/UCOmy8wuTpC95lefU5
Lucas Tie
https://www.youtube.com/watch?v=K5F2wz-Rig8&ab_channel=LucasTie
https://www.youtube.com/channe....l/UCFIK0Vk54HNOOZ1HD

References
Chaos: The Mathematics Behind the Butterfly Effect - James Manning
https://www.colby.edu/mathstat....s/wp-content/uploads
YFX1520 Nonlinear Dynamics Lecture 9 - Dmitri Kartofelev
https://www.ioc.ee/~dima/YFX15....20/LectureNotes_9.pd
Attractors: Nonstrange to Chaotic - Robert L. V. Taylor
http://evoq-eval.siam.org/Port....als/0/Publications/S