Analysis of Phase Portraits in 2D Systems

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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.