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My name is Artem, I'm a graduate student at NYU Center for Neural Science and researcher at Flatiron Institute (Center for Computational Neuroscience).
In this video, we explore the fascinating world of dynamical systems and differential equations, powerful tools for understanding how things change over time. We introduce key concepts like state variables, phase portraits, and limit cycles, using intuitive examples such as predator-prey models to visualize complex mathematical ideas.
Outline:
00:00 Introduction
01:44 State Variables
04:22 Differential Equations
08:24 Numerical solutions
11:52 Predator-Prey model
15:13 Phase Portraits
16:49 Equilibrium points & Stability
18:51 Limit Cycles
20:19 Conclusion
21:25 Sponsor: Brilliant.org
22:48 Outro
This video was sponsored by Brilliant