Stability Analysis: Linear Systems

Related lectures (30)

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

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

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

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.

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

Explores eigenvalues, stability, eigenvectors, and error estimation techniques in linear systems.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.