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Lecture
Chaos Theory: Fractals and Dimensionality
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Fractals and Chaos Theory
Explores chaotic maps, fractal dimensions, and strange attractors in dynamical systems.
Fractals: Dimensions and Applications
Explores fractals, dimensions, and applications, including mountain formation simulation and landscape authoring through erosion and vegetation interplay.
Chaos Theory: Turbulence and Double Pendulum
Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.
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.
End-to-End Distance Exponent
Explores the correct exponent for the end-to-end distance in polymer chains and its implications on chain correlations.
Bifurcation and fractals in complex dynamical systems
Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.
Fractal Dimension: Understanding Complex Geometric Structures
Explores fractal dimension, calculating values analytically and providing practical examples in computer graphics.
Fractal Dimensions: Polymer Behavior
Explores fractal dimensions in polymer behavior, focusing on excluded volume and intersections within polymers.
Chaos Theory: Logistic Map and Periodic Orbits
Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.
Chaos Theory: Discrete Dynamical Systems
Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.
