Nonlinear Dynamics and Chaos
Explore nonlinear dynamics and chaos through a comprehensive series of 25 lectures filmed at Cornell University in Spring 2014. Delve into analytical methods, concrete examples, and geometric intuition as you progress from first-order differential equations to complex topics like the Lorenz equations, chaos, and strange attractors. Apply theoretical concepts to real-world scenarios, including airplane wing vibrations, biological rhythms, and chaotic waterwheels. Engage with computer graphics, simulations, and videotaped demonstrations to enhance understanding of nonlinear phenomena. Prerequisite knowledge includes single-variable calculus, with some multivariable calculus and linear algebra concepts introduced as needed. Gain insights into the fascinating world of nonlinear systems and their applications across various scientific disciplines.