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Lecture
Introduction to Dynamical System
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Related lectures (31)
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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.
Lyapunov Stability in Dynamical Systems
Covers Lyapunov stability in dynamical systems, focusing on global asymptotic stability and practical implementation through semidefinite programming.
Bifurcations: Fold Bifurcation
Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.
Dynamical Systems: Maps and Stability
Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.
Learning and Adaptive Control for Robots: SEDS & LPV-DS
Explores learning and adaptive control for robots through SEDS and LPV-DS, emphasizing stability, non-linear dynamics, and optimization.
Dynamical Systems for Engineers
Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.
Stable Estimator of Dynamical System (SEDS)
Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.
Small Scale Stability: Gradient Systems
Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.
Chaos and Lyapunov Exponents: Analyzing Predictability
Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.
