Lectures related to Small Scale Stability: Equilibrium Point

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Discusses stability analysis of equilibrium points in dynamical systems.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

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

Explores equilibrium and stability of a vertical metronome system with springs.

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Covers the analysis of speed variation using differential equations and small time intervals.

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

Explores springs under forces using differential equations and mechanics examples.

Explores absolute stability in autonomous differential equation systems and the properties of equilibrium points and attractors.

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.

Explores the behavior of trajectories in differential equations, focusing on asymptotic behavior and solution uniqueness.

Covers cable structures analysis, equilibrium, and comparison with arches, including examples and exam preparation.

Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.

Covers the properties of Linear Time-Invariant (LTI) systems and their implications.