Linear Response for Chaotic Systems

Related lectures (30)

Page 1 of 3

Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.

Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Explores finding the equation of the tangent line to a function's graph at a point.

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Explores Newton's method convergence conditions and fixed-point interpretation.

Explores the Lorenz System, sensitivity to initial conditions, chaotic systems, and topological mixing.

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.