Small Scale Stability

Related lectures (31)

Page 2 of 4

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Explores phase portraits in 2D systems and the dynamics of predator-prey models.

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Explores the Kuramoto model for synchronization in phase oscillators and discusses stability criteria and critical coupling values.

Covers the Phase Plane Analysis of 2-dimensional neuron models, focusing on nullclines and fixed points.

Focuses on fixed points in graph theory and their implications in algorithms and analysis.

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

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

Discusses stability analysis of equilibrium points in dynamical systems.

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