Dynamic Systems: Course Review

Related lectures (52)

Explores asymmetric parametric models and the extremal coefficient in extreme value dependence.

Introduces the Kalman Filter, a method to estimate system state from noisy measurements.

Explores weakly nonlinear approach, bifurcations, amplitude equations, critical slowing, and nonlinearities in dynamical systems.

Covers the linearization method through two examples in process control.

Covers linear models for multi-class classification, focusing on logistic regression and evaluation metrics.

Explores elements from Ergodic Theory, transformations, invariant sets, and Lyapunov Exponents for 1-dimensional maps.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Explores Quillen equivalences, emphasizing the preservation of cofibrations and acyclic cofibrations.

Explores stability in ODEs, including error checks, equilibrium points, and global attractors, with a focus on numerical schemes like Euler's method.

Explores Dynamic Programming for optimal control, covering machine replacement, Markov chains, control policies, and linear quadratic problems.

Covers the Laplace transform, transfer functions, and properties of common functions in dynamical systems.

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