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Learn what strange attractors are and how they arise from iterated mappings of points in higher dimensions. See how they can produce complex and chaotic patterns, such as the Hénon and Ikeda attractors, and how they differ from fixed points and cycles.
An attractor is a set of states toward which a dynamical system tends to evolve, for a wide variety of starting conditions. Learn about different types of attractors, such as fixed points, limit cycles, strange attractors, and their mathematical and physical properties.
In dynamical systems, a 'Strange Attractor' is a type of attractor (a region or shape to which points are 'pulled' as the result of a certain process) that arises in certain non-linear systems and is characterized by its fractal structure.
Unlike fixed-point attractors and limit cycles, the attractors that arise from chaotic systems, known as strange attractors, have great detail and complexity. Strange attractors occur in both continuous dynamical systems (such as the Lorenz system) and in some discrete systems (such as the Hénon map ).
Learn about the properties and examples of strange attractors, a type of chaotic behavior in nonlinear dynamical systems. The lecture notes cover dissipation, attraction, stretching, folding, and fractal dimension of strange attractors.
Learn about strange attractors, the complex and unpredictable patterns that arise from simple nonlinear equations. See examples of Lorenz, Rössler and Hénon attractors and how they are related to fluid convection, chemical reactions and fractals.
Aug 22, 2024 · A strange attractor is a fractal set that attracts nearby orbits in a chaotic system. Learn how to identify and create strange attractors using a general quadratic map and see some illustrations from MathWorld.
