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Chaos theory
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Chaos theory
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Related lectures (31)
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Dynamical Systems for Engineers
Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.
Deterministic Chaos and Statistics
Explores the Lorenz System, sensitivity to initial conditions, chaotic systems, and topological mixing.
Dynamical Systems: Equilibrium Points and Stability
Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.
Ergodic Theory: Chaos
Explores elements from Ergodic Theory, transformations, invariant sets, and Lyapunov Exponents for 1-dimensional maps.
Attractors and Stability
Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.
Mild Dissipative Surface Dynamics
Explores mild dissipative surface dynamics, including conservative behavior and ergodic functions.
Nonlinear Dynamics and Complex Systems
Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.
Applications of Ergodic Theory to Combinatorics
Explores the applications of ergodic theory to combinatorics and number theory, including Szemerédi's Theorem and the Erdős-Kac Theorem.
Stability Analysis: Linear Systems
Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.
Fractional Susceptibility in Quadratic Dynamics
Explores the fractional susceptibility function in quadratic dynamical systems, highlighting its significance and the associated paradoxes in parameter dependence.
