Attractors (Mathematics) (Topical Term)

Work cat.: 97-35733: Buescu, J. Exotic attractors, c1997: CIP galley (attractors, attractor of a dynamical system)

Academic Press dict. sci. tech. (attractor. Chaotic dynamics: a set of points in the phase space of a dissipative dynamical system that are visited in the asymptotic (infinitely long time) evolution of a trajectory. Mathematics: a close set A on a manifold M with a flow is an attractor (or attracting set) for the flow if there exists a neighborhood U of A such that for each neighborhood V of A, the image of U under the flow is eventually contained in V. A is also required to be preserved under the flow)

Encyc. dict. math.: p. 492, under Differentiable dynamical systems (attractor)

Math. subj. classif. (58-XX, Global analysis, analysis on manifolds; 58Fxx, Ordinary differential equations on manifolds, dynamical systems; 58F12, Structure of attractors (and repellors))

Eisenreich. Mathematik (attractor)

McGraw-Hill dict. sci. tech. (attractor)