Lectures related to Analysis of Phase Portraits in 2D Systems

Explores bistability in genetic networks, analyzing fixed points and stability, phase portraits, and experimental implementation.

Explores bistability in the cell cycle, emphasizing positive feedback mechanisms and abrupt response transformations.

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

Explores stability in linear 2D systems, covering fixed points, vector fields, and phase portraits.

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

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

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

Explores stability properties and fixed points in discrete time solutions.

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

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

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

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Explains how to calculate the orientation of a station in geomatics.

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Explores the convergence of fixed point methods and the implications of different convergence rates.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

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

Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.

Covers the computation of Bethe free entropy and the interpretation of messages between variables and factors.

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