In mathematics, Sharkovskii's theorem (also spelled Sharkovsky, Sharkovskiy, Šarkovskii or Sarkovskii), named after Oleksandr Mykolayovych Sharkovsky...

16, etc. (indeed, for all the periods specified by Sharkovskii's theorem). Sharkovskii's theorem is the basis of the Li and Yorke (1975) proof that any...

topics Oscillation People in systems and control Sharkovskii's theorem Conley's fundamental theorem of dynamical systems System dynamics Systems theory...

spectacular application of the methods of symbolic dynamics is Sharkovskii's theorem about periodic orbits of a continuous map of an interval into itself...

37236/1833. ———; Burns, Keith (2000). "A simple special case of Sharkovskii's theorem". American Mathematical Monthly. 107 (10): 932–933. doi:10.2307/2695586...

after several timesteps. Periodic points can also be attractive. Sharkovskii's theorem is an interesting statement about the number of periodic points...

points for each period p. This turned out to be a special case of Sharkovskii's theorem. The second property requires some definitions. A pair of points...

effect 0-1 test for chaos Bifurcation diagram Feigenbaum constant Sharkovskii's theorem Attractor Strange nonchaotic attractor Stability theory Mechanical...

quadratic map Feigenbaum constants Universality (dynamical systems) Sharkovskii's theorem Alligood (1996) et al., p. 532 Thorne, Kip S.; Blandford, Roger...

Shape of the universe Shape resonance Shape waves Shapiro delay Sharkovskii's theorem Shashlik (physics) Shaukat Hameed Khan Shawn Carlson Shear flow...