Fixed Points and Stability

Related lectures (30)

Page 3 of 3

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

Covers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Covers the Newton method for finding zeros of functions using data interpolation.

Covers small scale stability conditions and asymptotic behavior around fixed points.

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

Explores nonlinear systems through phase portraits in 2D, focusing on vector fields, isoclines, and trajectories.

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

Explores the application of Laplace transform in state space modeling of linear systems and the control of dynamic systems.