C.L. Barrett, W.Y.C. Chen and M.J. Zheng,
Discrete dynamical systems on graphs and Boolean functions,
Math. Comput. Simulation 66(6) (2004) 487-497.

Cited by

  1. N.L. Ackerman and C.E. Freer, Graph Turing machines, In: Logic, language, information, and computation, 1-13, Lecture Notes in Comput. Sci. 10388, Springer, Berlin, 2017.

  2. S. Ahn, Transient and attractor dynamics in models for odor discrimination, Ph.D. Thesis, The Ohio State University, 2010.

  3. J.A. Aledo, L.G. Diaz, S. Martinez and J.C. Valverde, On periods and equilibria of computational sequential systems, Inform. Sci. 409/410 (2017) 27-34.

  4. J.A. Aledo, L.G. Diaz, S. Martinez and J.C. Valverde, On the periods of parallel dynamical systems, Complexity (2017) Art. ID 7209762, 6 pp.

  5. J.A. Aledo, L.G. Diaz, S. Martinez and J.C. Valverde, Maximum number of periodic orbits in parallel dynamical systems, Inform. Sci. 468 (2018) 63-71.

  6. J.A. Aledo, L.G. Diaz, S. Martinez and J.C. Valverde, Predecessors and Garden-of-Eden configurations in parallel dynamical systems on maxterm and minterm Boolean functions, Journal of Computational and Applied Mathematics 348 (2019) 26-33.

  7. J.A. Aledo, S. Martínez, F.L. Pelayo and J.C. Valverde, Parallel discrete dynamical systems on maxterm and minterm Boolean functions, Math. Comput. Modelling 55 (2012) 666-671.

  8. J.A. Aledo, S. Martínez and J.C. Valverde, Parallel dynamical systems over directed dependency graphs, Appl. Math. Comput. 219(3) (2012) 1114-1119.

  9. J.A. Aledo, S. Martínez and J.C. Valverde, Parallel discrete dynamical systems on independent local functions, J. Comput. Appl. Math. 237(1) (2013) 335-339.

  10. J.A. Aledo, S. Martínez and J.C. Valverde, Updating method for the computation of orbits in parallel and sequential dynamical systems, Int. J. Comput. Math. 90 (2013) 1796-1808.

  11. J.A. Aledo, S. Martínez and J.C. Valverde, Parallel dynamical systems over special digraph classes, Int. J. Comput. Math. 90 (2013) 2039-2048.

  12. J.A. Aledo, S. Martínez and J.C. Valverde, A matrix algorithm for computing orbits in parallel and sequential dynamical systems, Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2013, 24-27.

  13. J.A. Aledo, S. Martínez and J.C. Valverde, Parallel dynamical systems over graphs and related topics: a survey, J. Appl. Math. (2015) Art. ID 594294, 14 pp.

  14. J.A. Aledo, S. Martínez and J.C. Valverde, Graph dynamical systems with general Boolean states, Appl. Math. Inf. Sci. 9 (2015) 1803-1808.

  15. G. Cattaneo, G. Chiaselotti, P.A. Oliverio and F. Stumbo, A new discrete dynamical system of signed integer partitions, European J. Combin. 55 (2016) 119-143.

  16. J.K. Das, S. Sahoo, S. Hassan and P.P. Choudhury, Two dimensional discrete dynamics of integral value transformations, arXiv:1709.05205.

  17. C. Defant, Binary codes and period-2 orbits of sequential dynamical systems, Discrete Math. Theor. Comput. Sci. 19 (2017) Paper No. 10, 12 pp.

  18. A.S. Jarrah, R. Laubenbacher and A. Veliz-Cuba, The dynamics of conjunctive and disjunctive Boolean network models, Bull. Math. Biol. 72(6) (2010) 1425-1447.

  19. S. Kosub, Computational analysis of complex systems: discrete foundations, algorithms, and the Internet, Habilitation Thesis, Technische Universität München, 2007.

  20. J. Rogers, The dynamics of directed NOR networks, Preprint.

  21. S.M. Sanahuja, Parallel dynamical systens over graphs, Ph.D. Thesis, University of Castilla-La Mancha, 2013.

  22. A.A. Sioson, Multimodal networks in biology, Ph.D. Thesis, Virginia Polytechnic Institute and State University, 2005.

  23. A.A. Veliz-Cuba, The algebra of systems biology, Ph.D. Thesis, Virginia Polytechnic Institute and State University, 2010.

  24. Y.M. Zou, Dynamics of Boolean networks, Discrete Contin. Dyn. Syst. Ser. S 4(6) (2011) 1629-1640.