一個吸引集，在嵌入相空間中具有零測度，並具有分形維數。奇異吸引子內的軌跡似乎隨機跳躍。
上面展示了一般二次對映的一些奇異吸引子
 |  |  |
(1)
|
 |  |  |
(2)
|
，其中字母 
到 
代表二次方的係數，從 
到 1.2，步長為 0.1 (Sprott 1993c)。這些代表了大約 1.6% 的所有可能的 
這種混沌對映的一小部分 (Sprott 1993bc)。
奇異吸引子
另請參閱
吸引盆, 關聯指數, 分形, 薑餅人對映, Hénon-Heiles 方程, Hénon 對映, Lorenz 吸引子, Lozi 對映, 相空間, Rössler 吸引子, 標準對映, Wada 盆使用 探索
參考文獻
Benmizrachi, A.; Procaccia, I.; and Grassberger, P. "Characterization of Experimental (Noisy) Strange Attractors." Phys. Rev. A 29, 975-977, 1984.Dewdney, A. K. "Probing the Strange Attractors of Chaos." Sci. Amer. 235, 90-93, 1976.Farmer, J. D.; Ott, E.; and Yorke, J. A. "The Dimension of Chaotic Attractors." Physica 7D, 153, 1983.Gleick, J. "Strange Attractors." Chaos: Making a New Science. New York: Penguin Books, pp. 119-153, 1988.Grassberger, P. "On the Hausdorff Dimension of Fractal Attractors." J. Stat. Phys. 26, 173-179, 1981.Grassberger, P. and Procaccia, I. "Measuring the Strangeness of Strange Attractors." Physica D 9, 189-208, 1983a.Grassberger, P. and Procaccia, I. "Characterization of Strange Attractors." Phys. Rev. Let. 50, 346-349, 1983b.Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 137-138, 1991.Peitgen, H.-O. and Richter, D. H. The Beauty of Fractals: Images of Complex Dynamical Systems. New York: Springer-Verlag, 1986.Pickover, C. "A Note on Rendering 3-D Strange-Attractors." Comput. & Graphics 12, 263, 1988.Sprott, J. C. Strange Attractors: Creating Patterns in Chaos. New York: Henry Holt, 1993a.Sprott, J. C. "How Common Is Chaos?" Phys. Lett. A 173, 21, 1993b.Sprott, J. C. "Automatic Generation of Strange Attractors." Comput. & Graphics 17, 325-332, 1993c. Reprinted in Chaos and Fractals, A Computer Graphical Journey: Ten Year Compilation of Advanced Research (Ed. C. A. Pickover). Amsterdam, Netherlands: Elsevier, pp. 53-60, 1998.Viana, M. "What's New on Lorenz Strange Attractors." Math. Intell. 22, 6-19.引用
奇異吸引子引用為
Weisstein, Eric W. "奇異吸引子。" 來自 ——Wolfram 網路資源。 https://mathworld.tw/StrangeAttractor.html