Lectures related to Stable manifold

Covers the correction of an intermediate test, suggestions for the exam, and simplification techniques of poles and values.

Explores stability and eigenvalues, highlighting their significance in analyzing system behavior.

Explores the synchronization and coupling of circadian and cell cycles, focusing on dynamics, predictions, and organ-specific time.

Explores thermodynamic formalism for weakly coarse expanding dynamical systems, covering equilibrium states, visual metrics, and symbolic coding.

Explores geodesic flows on noncompact manifolds, focusing on pressures, real resonances, and Gibbs measures.

Covers the investment model, including steady state, budget constraints, and stable eigenvalues.

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.

Explores Gibbs measures for hyperbolic attractors, including T-invariant probability measures and perturbations of the CAT map.

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

Explores the exponential mixing of 3D Anosov flows and their geometric properties, including chaotic behavior and hyperbolic dynamics.

Explores small scale stability, analyzing solutions' stability conditions locally and globally.

Explores stability properties of 3-dimensional Anosov flows, focusing on manifolds and foliations.

Analyzes monetary and fiscal policy responses to public debt accumulation and the impact of Covid-19 on global economies.

Explores system analysis in the time domain, covering first and second-order systems, stability, and transient response.