Large Scale Stability in Dynamical Systems

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Explores learning and adaptive control for robots, emphasizing modulation of dynamical systems to improve stability and enable reactive motion.

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.

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

Covers large scale stability analysis and properties of dynamical systems solutions.

Delves into Ruelle resonances for linear pseudo-Anosov maps, highlighting their importance in dynamical systems theory.

Covers transport in living systems, protein aggregation, and the physics of biological systems.

Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.

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

Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.

Covers Lyapunov stability analysis, focusing on Lyapunov functions and stability criteria in robotic systems.