Differential Equations: The Language of Change
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My name is Artem, I'm a neuroscience PhD student at Harvard University.
🌎 Website and Social links: https://kirsanov.ai/
📥 "Receptive Field" neuro-newsletter: https://artemkirsanov.substack.com/
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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
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This video was sponsored by Brilliant
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Disclaimer: This channel is my personal project. The views and content expressed here are my own and are separate from my research role at Harvard University.
#DifferentialEquations #DynamicalSystems #Mathematics
Description remastered: February 2026. Links & Bio updated; original context preserved.