# Sensitivity of Elementary Cellular Automata to Their Inputs

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The sensitivity of an elementary cellular automaton (CA) to its inputs is defined as the space-averaged proportion of the cells in the neighborhoods of the CA's cells , that is, ), that affect the state of during the subsequent time step. This proportion can be expressed as

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Contributed by: Jan Baetens (August 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

More information on the sensitivity of CA to their inputs can be found in [1], [2], and [3].

References

[1] J. M. Baetens and B. De Baets, "Phenomenological Study of Irregular Cellular Automata Based on Lyapunov Exponents and Jacobians," *Chaos*, 20, 033112, 2010. doi:10.1063/1.3460362.

[2] J. M. Baetens and B. De Baets, "On the Topological Sensitivity of Sellular Automata," *Chaos*, in press, 2011.

[3] F. Bagnoli, R. Rechtman, and S. Ruffo, "Damage Spreading and Lyapunov Exponents in Cellular Automata," *Physics Letters A*, 172, pp. 34–38. doi:10.1016/0375-9601(92)90185-O.

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