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The RΓΆssler attractor is a set of chaotic solutions to a system of three nonlinear, ordinary differential equations first described by Otto RΓΆssler in the 1970s. It represents a "stretched and folded ribbon" in phase space, demonstrating complex, non-repeating, yet bounded behaviorβ€”a hallmark of chaos theory.

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The Lorenz attractor is a set of chaotic solutions to a simplified 3D system of nonlinear differential equations representing atmospheric convection. It is famous for its butterfly-like shape, representing the "butterfly effect"β€”extreme sensitivity to initial conditions where minor variations lead to vastly different outcomes.

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