Concept

Time-scale calculus

Related lectures (18)

Explains d'Alembert's principle, generalized coordinates, and dynamic equations with practical examples.

Discusses rotor oscillation modes, excitation control effects, and system stability implications.

Covers digital controller design, focusing on discrete-time models and the pole placement technique.

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

Covers the limitations of Lagrange formalism and the transition to Hamiltonian formalism for dynamic variables.

Covers the symmetries in space-time and dynamical equations, with examples from Newtonian dynamics.

Explores symmetries in dynamical equations, emphasizing their restoration at high Reynolds numbers and their impact on fluid dynamics.

Analyzes a ball sliding on a curved rail, deriving dynamic equations and equilibrium positions.

Covers the concept of moment of inertia and center of mass.

Explores the concept of separation of time scales in computational neuroscience and the reduction of detail in two-dimensional neuron models.

Covers stiff systems in ODEs with different time scales and numerical integration methods.

Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.

Covers fan-in and fan-out operations in programming reactive systems using Akka Streams, demonstrating static and dynamic operators.

Explores Fokker-Planck equations, escape rates, and first passage time analysis in statistical physics.

Covers digital controller design, discrete-time models, RST controller, pole placement, regulation, tracking, and time-domain performance.

Covers the essentials of probability, algebras, and conditional probability, including the Borel o-algebra and Poisson processes.

Covers Stochastic Calculus, focusing on Itô's Formula, Stochastic Differential Equations, martingale properties, and option pricing.

Covers the dynamics of robot manipulators, including dynamic models and equations, differential equations, and dynamic representations.