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Related lectures (23)
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Beyond equilibrium: A dynamical systems approach to learning in games
Delves into learning dynamics in games, exploring chaos, limit cycles, and the interplay between convergence and chaos.
Circadian and Cell Cycle Dynamics: Coupling and Synchronization
Explores the synchronization and coupling of circadian and cell cycles, focusing on dynamics, predictions, and organ-specific time.
Limit Cycles and Excitable Systems
Explores limit cycles, excitable systems, positive feedback, and phase locking in human circadian rhythms.
Phase Plane Analysis: Limit Cycles
Discusses limit cycles, equilibrium points, arbitrary curves, abstract plane, and numbering of points.
Fixed Points and Stability
Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.
Phase Plan and 1st Harmonic Method
Covers phase plan representation, limit cycles, topological index, and the first harmonic method.
Nonlinear Dynamics and Chaos
Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.
Small Scale Stability: Gradient Systems
Covers small scale stability in gradient systems, focusing on trajectory properties and equilibrium point attraction.
Limit Cycle Oscillators: Stability and Excitability
Explores limit cycle oscillators, stability, excitability, feedbacks, and fixed points in 2D phase portraits.
Algebraic Topology and Differential Geometry
Explores algebraic topology and differential geometry in understanding robot dynamics and global behavior.