http://orcid.org/0000-0002-9791-5332
References
- R.L. Adler, A.G. Konheim, and M.H. McAndrew, Topological entropy, Trans. Amer. Math. Soc. 114 (1965), pp. 309–319. doi: 10.1090/S0002-9947-1965-0175106-9
- K.T. Alligood, T.D. Sauer, and J.A. Yorke, Chaos: An Introduction to Dynamical Systems, Springer-Verlag, New York, 1997.
- A.Z. Bahabadi, On chaos for iterated function systems, Asian-Eur. J. Math. 11 (2018), pp. 1850054. doi: 10.1142/S1793557118500547
- M.F. Barnsley and S. Demko, Iterated function systems and the global construction of fractals, Proc. Roy. Soc. London Ser. A 399 (1985), pp. 243–275. doi: 10.1098/rspa.1985.0057
- R. Bhattacharya, and M. Majumdar, Random Dynamical Systems: Theory and Applications, Cambridge University Press, Cambridge, 2007.
- L.S. Block, and W.A. Coppel, Dynamics in One Dimension, Lecture Notes in Mathematics, vol. 1513, Springer-Verlag, Berlin, 1992.
- P. Diaconis and D. Freedman, Iterated random functions, SIAM Rev. 41 (1999), pp. 45–76. doi: 10.1137/S0036144598338446
- W. Feller, An Introduction to Probability Theory and Its Application, 2nd ed, Vol. 1, Wiley, New York, 1957.
- F.H. Ghane, E. Rezaali, M. Saleh, and A. Sarizadeh, Sensitivity and chaos of iterated function systems, arXiv:1603.08243v1[math.DS] (2017)
- Y. Kifer, Ergodic Theory of Random Transformations, Birkhäuser Boston, Boston, MA, 1986.
- M. Kuchta and J. Smítal, Two-point scrambled set implies chaos, European Conference on Iteration Theory (1989), pp. 427–430
- T.Y. Li and J.A. Yorke, Period three implies chaos, Amer. Math. Monthly 82 (1975), pp. 985–992. doi: 10.1080/00029890.1975.11994008
- S. Ruette, Chaos on the Interval, University Lecture Series, vol. 67, American Mathematical Society, Providence, 2017.
- B. Schweizer, A. Sklar, and J. Smítal, Distributional (and other) chaos and its measurement, Real Anal. Exchange 26 (1999), pp. 495–524.
- B. Schweizer and J. Smítal, Measures of chaos and a spectral decomposition of dynamical systems on the interval, Trans. Amer. Math. Soc. 344 (1994), pp. 737–754. doi: 10.1090/S0002-9947-1994-1227094-X
- Ö. Stenflo, A survey of average contractive iterated function systems, J. Differ. Equ. Appl. 18 (2012), pp. 1355–1380. doi: 10.1080/10236198.2011.610793
- I. Stewart, Does God Play Dice?, Basil Blackwell, Oxford, 1989.