Exploring chaotic motion through periodic orbits

著者: Ditza Auerbach, Predrag Cvitanović, Jean‐Pierre Eckmann, Gemunu H. Gunaratne, Itamar Procaccia - Physical Review Letters 1987 被引用: 522

The fractal invariant measure of chaotic strange attractors can be approximated systematically by the set of unstable n-periodic orbits of increasing n. Algorithms for extracting the periodic orbits from a chaotic time series and for calculating their stabilities are presented. With this information alone, important properties like the topological entropy and the Hausdorff dimension can be calculated.