Small Scale Stability: Solutions and Stability Analysis

Related lectures (31)

Page 3 of 4

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Covers dynamic systems in biology, including trajectories, stability, and qualitative analysis.

Explores linearization, state representations, and stability analysis using Lyapunov theory and zero dynamics.

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.

Covers the concept of passivity in linear systems and the circle criterion for absolute stability.

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Explores geometric transformations like translation and homothety in the plane.