Fixed Points and Stability

Related lectures (30)

Page 1 of 3

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

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

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

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

Covers the stability analysis of fixed points in two-dimensional neuron models.

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

Explores stability properties and fixed points in discrete time solutions.

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

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.