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Periodicity on discrete dynamical systems generated by a class of rational mappings. (English) Zbl 1116.39008
The authors investigate the problem of global periodicity in discrete dynamical systems generated by rational maps in $$\mathbb R^k$$ or $$\mathbb C^k.$$ Some results are given.

##### MSC:
 39A12 Discrete version of topics in analysis 39A11 Stability of difference equations (MSC2000)
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##### References:
 [1] DOI: 10.1016/j.aml.2005.11.022 · Zbl 1120.39002 · doi:10.1016/j.aml.2005.11.022 [2] DOI: 10.1080/10236190410001667977 · Zbl 1053.39008 · doi:10.1080/10236190410001667977 [3] DOI: 10.1080/10236190600703031 · Zbl 1127.39010 · doi:10.1080/10236190600703031 [4] DOI: 10.1142/S0218127406015027 · Zbl 1141.37310 · doi:10.1142/S0218127406015027 [5] DOI: 10.1007/s006050170042 · Zbl 1036.11002 · doi:10.1007/s006050170042 [6] Cull P., Difference Equations. From Rabbits to Chaos (2005) · Zbl 1085.39002 [7] DOI: 10.1080/1023619021000054042 · Zbl 1013.39008 · doi:10.1080/1023619021000054042 [8] Grove E.A., Periodicities in Nonlinear Difference Equations (2005) · Zbl 1078.39009 [9] Horn R.A., Matrix Analysis (1991) · Zbl 0729.15001 · doi:10.1017/CBO9780511840371 [10] Kucma M., Iterative Functional Equations 32 (1990) · doi:10.1017/CBO9781139086639 [11] Kulenović M.R.S., Dynamics of Second Order Rational Difference Equations (2002) · Zbl 0981.39011 [12] Lang S., Algebra, 3. ed. (1993) [13] Mitrinović D.S., Handbook of Number Theory (2006) · Zbl 1151.11300
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