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Measure-preserving dynamical system
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Related lectures (30)
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Networked Control Systems: Fundamentals and Stability Analysis
Covers the fundamentals and stability analysis of Networked Control Systems, including software installation, dynamical systems, equilibrium states, and stability testing.
Intelligent Maintenance Systems
Discusses faults in intelligent maintenance, Denoising Sparse Wavelet Network, Koopman operator theory, and Graph Neural Networks.
Essential Coexistence Phenomenon in Hamiltonian Dynamics
By Yakov Pesin delves into the essential coexistence phenomenon in Hamiltonian dynamics, exploring types I and II and providing examples and proofs.
Dynamical Systems: Laplace Transform
Covers the Laplace transform, transfer functions, and properties of common functions in dynamical systems.
Learning Modulation for DS
Explores learning and adaptive control for robots, emphasizing modulation of dynamical systems to improve stability and enable reactive motion.
Bifurcations: Fold Bifurcation
Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.
Equidistribution of CM Points
Explores the equidistribution of CM points and the implications of ergodicity in measure-preserving systems.
Fractional Response
Explores linear response in dynamical systems, emphasizing fractional derivatives and expanding unimodal maps.
Periodic Orbits of Hamiltonian Systems
Covers Morse theory, critical points, and Conley-Zehnder index in Hamiltonian systems.
FK-Percolation and the Six-Vertex Model: Critical Phenomena
Covers the transition from the six-vertex model to FK-percolation, focusing on critical phenomena and phase transitions in two-dimensional systems.