References
- G. Acosta, P. Eslami and L. Oversteegen, On open maps between dendrites, Hous. J. Math., Vol. 33, Number 3, 753–770 (2007).
- S. Baldwin, Continuous itinerary functions and dendrite maps, Top. Appl., Vol. 154, Number 16, 2889–2938 (2007).
- F. Balibrea, R. Hric and L. Snoha, Minimal sets on graphs and dendrites, Intern. J. Bifur. Chaos, Vol. 13, Number 7, 1721–1725 (2003).
- A. F. Beardon, Iteration of Rational Functions. Springer Verlag, New York, 1983.
- L. Block and W. Coppel, ω-limit sets for maps of the interval, Ergod. Th. Dynam. Sys., Vol. 6, Number 2, 335–344 (1986).
- L. Efremova and E. Makhrova, The dynamics of monotone maps of dendrites, Sb. Math., Vol. 192, Number 5-6, 807–821 (2001).
- L. Efremova and E. Makhrova, On the center of continuous maps of dendrites, J. Diff. Equa. Appl., Vol. 9, Number 3-4, 381–392 (2003).
- V. V. Fedorenko, Topological limit of trajectory of intervals of simplest one-dimensional dynamical systems, Ukrainian Math. J., Vol. 54, Number 3, 527–532 (2002).
- H. Kato, A note on periodic points and recurrent points of maps of dendrites, Bull. Austral. Math. Soc., Vol. 51, Number 4, 459–461 (1995).
- J. Mai and T. Sun, The ω-limit set of a graph map, Topo. Appli., Vol. 154, Number 11, 2306–2311 (2007).
- J. Mai and E. Shi, R = P for maps of dendrites X with Card(End(X)) < c, Intern. J. Bifur. Chaos, Vol. 19, Number 4, 1391–1396 (2009).
- Sam B. Nadler Jr, Continuum Theory: An Introduction, Marcel Dekker, Inc., NY, 1992.
- I. Naghmouchi, Dynamical properties of monotone dendrite maps, Topo. Appl., Vol. 159, Number 1, 144–149 (2012).
- H. O. Peitgen and P. H. Richter, The Beauty of Fractals, Springer-Verlag, Berlin, 1986.
- T. Sun, Q. He and H. Xi, Intra-orbit separation of dense orbits of dendrite maps, Chaos, Solit. Fract., Vol. 57, Number 1, 89–92 (2013).
- T. Sun, Q. He, D. Su and H. Xi, Dendrite maps whose every periodic point is a fixed point, Chaos, Solit. Fract., Vol. 65, Number 1, 62–64 (2014).
- T. Sun, H. Xi, G. Zhang and Z. Chen, Dynamics of Tree Maps, Guangxi Science & Technology Press, 2011. ( in Chinese)