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.
Differential Equations: The Language of Change
Overview
Syllabus
Introduction
State Variables
Differential Equations
Numerical solutions
Predator-Prey model
Phase Portraits
Equilibrium points & Stability
Limit Cycles
Conclusion
Sponsor: Brilliant.org
Outro
Taught by
Artem Kirsanov
