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Reversibility, Simulation and Dynamical Behaviour

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Designing Beauty: The Art of Cellular Automata

Abstract

A cellular automaton (CA) is reversible if it repeats its configuration in a cycle. Reversible one-dimensional CA are studied as automorphisms of the shift dynamical system, and analyses using graph-theoretical approaches and with block permutations. Reversible CA are dynamical systems which conserve their initial information. This is why they pose a particular interest in mathematics, coding and cryptography.

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Correspondence to Juan Carlos Seck Tuoh Mora .

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© 2016 Springer International Publishing Switzerland

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Mora, J.C.S.T., Romero, N.H., Marin, J.M. (2016). Reversibility, Simulation and Dynamical Behaviour. In: Adamatzky, A., Martínez, G. (eds) Designing Beauty: The Art of Cellular Automata. Emergence, Complexity and Computation, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-319-27270-2_22

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  • DOI: https://doi.org/10.1007/978-3-319-27270-2_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27269-6

  • Online ISBN: 978-3-319-27270-2

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