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Horseshoes in piecewise continuous maps. (English) Zbl 1053.37006
The authors present a framework on the existence of piecewise continuous map, which should be apparent from mathematical viewpoint. It is helpful to present such a framework for researchers from other scientific or engineering communities, because the work presented in this paper would be more meaningful and practical to solve practical problems in science and engineering.

37B99Topological dynamics
37E99Low-dimensional dynamical systems
Full Text: DOI
[1] Kennedy, J.; Yorke, J. A.: Topological horseshoes. Trans. amer. Math. soc. 353, 2513-2530 (2001) · Zbl 0972.37011
[2] Kennedy, J.; Koçak, S.; Yorke, J. A.: A chaos lemma. Amer. math. Monthly 108, 411-423 (2001) · Zbl 0991.37015
[3] Viana, M.: What’s now on Lorenz strange attractor. Math. intell. 22, 6-19 (2000) · Zbl 1052.37026
[4] Yang X-S. Chaos control and its applications to communications, INS Technical Report, D1999-0699, Chongqing Univ. Posts. & Telecomm.; 2001
[5] Yang, X. -.S.; Li, Q.: Generate n-scroll chaotic attractors in linear systems via scalar output feedback. Chaos, soliton & fractals 18, 25-29 (2003) · Zbl 1041.37045
[6] Robinson, C.: Dynamical systems: stability, symbolic dynamics, and chaos. (1995) · Zbl 0853.58001
[7] Zhang, Z.: Shift invariant set of self map. Acta Mathematica 27, 564-576 (1984) · Zbl 0567.58023