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Lecture
Deterministic Chaos and Statistics
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Related lectures (31)
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Introduction to Quantum Chaos
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Chaos Theory: Turbulence and Double Pendulum
Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.
Chaos Theory: Discrete Dynamical Systems
Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.
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.
Chaos: Irregular Trajectories and Sensitivity to Initial Conditions
Explores chaos, irregular trajectories, and sensitivity to initial conditions in dynamical systems.
Ergodic Theory: Chaos
Explores elements from Ergodic Theory, transformations, invariant sets, and Lyapunov Exponents for 1-dimensional maps.
Chaos and Lyapunov Exponents: Analyzing Predictability
Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.
Chaos Theory: Maps and Lyapunov Exponents
Explores chaotic maps, fix points, stability, and Lyapunov exponents in discrete systems, emphasizing their role in determining chaos.
Chaos Theory: Logistic Map and Periodic Orbits
Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.
Ergodic properties of low complexity symbolic systems
Explores the influence of complexity on ergodic properties of symbolic systems, presenting the Curtis-Hedlund-Lyndon Theorem and constructions of minimal subshifts.
