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Lyapunov exponent
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Related lectures (30)
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Chaos and Lyapunov Exponents: Analyzing Predictability
Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.
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.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Chaos Theory: Chaotic Maps and Logistic Map
Explores chaotic maps, fix points, periodic orbits, and intermittent chaos.
Chaos Theory: Logistic Map and Periodic Orbits
Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.
Chaos Theory: Turbulence and Double Pendulum
Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.
Deterministic Chaos and Statistics
Explores the Lorenz System, sensitivity to initial conditions, chaotic systems, and topological mixing.
Chaos: Irregular Trajectories and Sensitivity to Initial Conditions
Explores chaos, irregular trajectories, and sensitivity to initial conditions in dynamical systems.
Lyapunov Stability in Dynamical Systems
Covers Lyapunov stability in dynamical systems, focusing on global asymptotic stability and practical implementation through semidefinite programming.
Ergodic Theory: Chaos
Explores elements from Ergodic Theory, transformations, invariant sets, and Lyapunov Exponents for 1-dimensional maps.
