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Lecture
Small Scale Stability: Gradient Systems
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Related lectures (31)
Attractors and Stability
Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.
Convergence and Limits in Real Numbers
Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.
Stable Estimator of Dynamical System (SEDS)
Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.
Harmonic Responses to Non-Harmonic Signals
Covers the harmonic responses of systems to non-harmonic signals.
Bifurcations: Fold Bifurcation
Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.
Normed Spaces
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Small Scale Stability: Equilibrium Point
Discusses stability analysis of equilibrium points in dynamical systems.
Extreme Values of Continuous Functions
Covers extreme values of continuous functions on compact sets and differentiability.
Lyapunov Stability Analysis
Covers Lyapunov stability analysis, focusing on Lyapunov functions and stability criteria in robotic systems.
Stability and Reachability in Multivariable Control
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Dynamical Approaches to Spectral Theory of Operators
Explores dynamical approaches to the spectral theory of operators, focusing on self-adjoint operators and Schrödinger operators with dynamically defined potentials.
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