We'll accumulate technical references here. No need to worry about formatting for now.
J. M. Baetens and B. De Baets, "On the Topological Sensitivity of Cellular Automata," Chaos, preliminary, 2011.
J. M. Baetens and B. De Baets, "Phenomenological Study of Irregular Cellular Automata Based on Lyapunov Exponents and Jacobians," Chaos, 20, 2010, 033112.
F. Bagnoli, R. Rechtman, and S. Ruffo, "Damage Spreading and Lyapunov Exponents in Cellular Automata," Physics Letters A, 172, 1992, pp. 34–38.
Sandri, M. "Numerical Calculation of Lyapunov Exponents." Mathematica J. 6, 78-84, 1996.
Chirikov, B. V. "A Universal Instability of Many-Dimensional Oscillator Systems." Phys. Rep. 52, 264-379, 1979.
Ramasubramanian, K. and Sriram, M. S. "A Comparative Study of Computation of Lyapunov Spectra with Different Algorithms" 1999.
Trott, M. The Mathematica GuideBook for Programming. New York: Springer-Verlag, p. 24, 2004.