Differential Equations: The Language of Change

Explore the fascinating world of dynamical systems and differential equations in this 23-minute video. Delve into key concepts such as state variables, phase portraits, and limit cycles, using intuitive examples like predator-prey models to visualize complex mathematical ideas. Learn about numerical solutions, equilibrium points, and stability as you journey through the language of change. Gain insights from Artem Kirsanov, a graduate student at NYU Center for Neural Science and researcher at Flatiron Institute, as he breaks down these powerful tools for understanding how things evolve over time.

Introduction
State Variables
Differential Equations
Numerical solutions
Predator-Prey model
Phase Portraits
Equilibrium points & Stability
Limit Cycles
Conclusion
Sponsor: Brilliant.org
Outro