G. Birk, Quelques thÃ?orÃ?mes sur les mouvements des systÃ?mes dynamiques, Bull. Soc. math. France, vol.40, pp.305-323, 1912.

V. D. Blondel, J. Cassaigne, and C. Nichitiu, On the presence of periodic configurations in Turing machines and in counter machines, Theoretical Computer Science, vol.289, issue.1, pp.289-573, 2002.
DOI : 10.1016/S0304-3975(01)00382-6

P. Oprocha, On entropy and Turing machine with moving tape dynamical model, Nonlinearity, vol.19, issue.10, pp.2475-2487, 2006.
DOI : 10.1088/0951-7715/19/10/012

E. Jeandel, Computability of the entropy of one-tape Turing machines, In: STACS, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00785232

A. Gajardo and J. Mazoyer, One Head Machines from a symbolic approach, Theoretical Computer Science, vol.370, issue.1-3, pp.34-47, 2007.
DOI : 10.1016/j.tcs.2006.10.004

A. Gajardo and P. Guillon, Zigzags in Turing Machines, Lecture Notes in Computer Science, vol.6072, pp.109-119, 2010.
DOI : 10.1007/978-3-642-13182-0_11

URL : https://hal.archives-ouvertes.fr/hal-00460662

P. K. Hooper, The undecidability of the Turing machine immortality problem, The Journal of Symbolic Logic, vol.12, issue.02, pp.219-234, 1966.
DOI : 10.2307/1970290

J. Kari and N. Ollinger, Periodicity and Immortality in Reversible Computing, Lecture Notes in Computer Science, vol.5162, pp.419-430, 2008.
DOI : 10.1007/978-3-540-85238-4_34

URL : https://hal.archives-ouvertes.fr/hal-00270815

P. K?rka, On topological dynamics of Turing machines, Theoretical Computer Science, vol.174, issue.1-2, pp.203-216, 1997.
DOI : 10.1016/S0304-3975(96)00025-4

A. Gajardo, J. Kari, and A. Moreira, On time-symmetry in cellular automata, Journal of Computer and System Sciences, vol.78, issue.4, pp.1115-1126, 2012.
DOI : 10.1016/j.jcss.2012.01.006