Phase Plane Analysis

Related lectures (31)

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Covers the analysis and control of nonlinear systems, including methods like phase plan and passivity.

Discusses limit cycles, equilibrium points, arbitrary curves, abstract plane, and numbering of points.

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.

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

Covers stability, adaptation, Nyquist criterion, and predicting limit cycle existence.

Explores the Van der Pol oscillator, its dynamic equations, and phase plane representation.

Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Covers non-linear systems in 2D, focusing on predator-prey models and stability analysis of fixed points.

Explores the homotopy theory of chain complexes, focusing on retractions and model category structures.