Lecture
Lyapunov Stability in Dynamical Systems
Related lectures (30)
Introduction to Quantum Chaos
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.
Dynamical Systems: Equilibrium Points and Stability
Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.
Nonlinear Dynamics: Stability and Chaos
Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.
Attractors and Stability
Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.
Stability of ODE
Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.
System Identification and Stability
Explores system identification, stability criteria, and challenges in stabilizing cameras on moving platforms.
Lyapunov Stability and Chebyshev Inequalities
Explores Lyapunov stability and Chebyshev inequalities in system analysis and control design.
Bernoulli convolutions: The dimension of Bernoulli convolutions
Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.