Dynamic Systems: Course Review

Related lectures (31)

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

Explores the stability of periodic solutions in continuous-time systems using the logistic map and the van der Pol oscillator.

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

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

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

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

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

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

Covers the stability of discrete time periodic solutions and their properties.

Explores growth models for populations and gene regulation analysis.