Lectures related to Linear Response for Chaotic Systems

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.

Explores derivability, continuity, and composite functions with illustrative examples.

Explores obstacle avoidance using Dynamical Systems for robots, focusing on modulation, stability guarantees, and contraction theory.

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Explores generalized integrals, convergence, implicit functions, and higher-order derivatives.

Explores chaos, irregular trajectories, and sensitivity to initial conditions in dynamical systems.

Explores invertible matrices, injective functions, and the theory of reciprocal functions.

Explores differentiability, tangent lines, and graph interpretation.

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.