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- W2474830436 abstract "This paper studies dynamics of 1-D maps with a trapping window (ab. TWmaps). When an 1D map exhibits torus or chaos, the window can change it into complex superstable periodic orbit (ab. SSPO) [1][5]. The SSPO has interesting properties : superstable for initial state, very fast transient to stable steady state and sensitivity for parameter perturbation. There exist complicated bifurcation phenomena of rich SSPOs [3] and their analysis is pretty hard. Such TWmaps appear in some practical systems : chaos control systems [5], sigma-delta modulators with a trapping window [6], a simplified model of power converters [7], a B-Z map with noise-induced order [8]-[9] and so on. Analysis of TWmap and SSPOs are important to approach new bifurcation theory and provides basic information for design of practical systems." @default.
- W2474830436 created "2016-07-22" @default.
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- W2474830436 date "2007-01-01" @default.
- W2474830436 modified "2023-09-27" @default.
- W2474830436 title "Superstable phenomena of 1-D map with a trapping window and its application" @default.
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