Dynamical Systems: Maps and Stability

Related lectures (31)

Page 3 of 4

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

Explores the concept of limit cycles in biological systems and their significance in understanding system dynamics.

Covers the stability of discrete time periodic solutions and their properties.

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

Covers the topic of bifurcations in dynamical system theory, focusing on the pitchfork bifurcation.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores chaotic maps, fix points, periodic orbits, and intermittent chaos.

Covers the topic of nonlinear equations and the fixed point method.

Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.

Explores periodic orbits in Hamiltonian systems and their stability under various conditions.