Strange Attractor

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Strange Attractor

An attractor in phase space, where the points never repeat themselves, and orbits never intersect, but they stay within the same region of phase space. Unlike limit cycles or point attractors, strange attractors are non-periodic, and generally have a fractal dimension. They are a picture of a non-linear, chaotic system. See: Attractor, Limit Cycle, Point Attractor.
References in periodicals archive ?
Various types of dynamic stability were identified, such as strange attractors (1995.2-1996.1), limit cycles (1996.2-1996.9) and also a combined stable state, which is a set of a fixed stable point, limit cycle and strange attractor (1995.1).
Procaccia, "Characterization of strange attractors," Physical Review Letters, vol.
The principles, which could be, for example, innovation, flexibility, adaptability, knowledge sharing and learning, function as the strange attractors which pull not just individual businesses, but the whole destination towards emergence.
Strange attractors are bounded chaotic systems with a long-term pattern.
Attractors are behaviors of nonlinear complex systems, and the most famous attractor is the Lorenz's strange attractor, shown in the Figure 1.
Due to the symmetry of the vector field two mirrored strange attractors are highly expected.
Lorenz [22] suggested the strange attractor in a simple model of convection roll in the atmosphere.
Although errors in setting initial conditions inflate exponentially, a characteristic that inspired the name 'chaos,' points in the phase space of a chaotic system can also converge on, and subsequently remain in, the general vicinity of a specific region called a 'strange attractor.' This attractor is nota point, however, as in the case of a representation of a stone coming to rest at the base of a hill, but has the peculiar characteristic of being a fractal.
More specifically, they show that strange attractors with SRB measures exist.