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Learn about strange attractors, regions or shapes that display sensitive dependence on initial conditions, and explore various systems of equations that generate them. Click on the images to see the Lorenz attractor, the Langford attractor, the Rössler attractor and more.
Learn about the properties and examples of strange attractors, which are aperiodic, fractal, and chaotic sets of points in phase space. See how dissipation, stretching, and folding create the sensitivity to initial conditions and the non-integer dimension of strange attractors.
Strange attractors are complex structures that emerge from iterated mappings of multiple-dimensional spaces. Learn how they are formed, how they differ from fixed points and cycles, and how they can be explored with fractal and chaotic flows.
An attractor can be a point, a finite set of points, a curve, a manifold, or even a complicated set with a fractal structure known as a strange attractor (see strange attractor below). If the variable is a scalar, the attractor is a subset of the real number line.
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 differ from periodic orbits.
Hace 3 días · An attracting set that has zero measure in the embedding phase space and has fractal dimension. Trajectories within a strange attractor appear to skip around randomly.
Visualizing Chaotic 3D Systems Strange attractors are one of the most intriguing and breathtakingly beautiful things I've seen come out of mathematics.
