Abstract
This paper reports a critical phenomenon in a self-repair network by mutual copying. Extensive studies have been done on critical phenomena in many fields such as in epidemic theory and in percolation theory with an effort of identification of critical points. However, from the viewpoints of cleaning up a network by mutual copying, critical phenomena have not much studied. A critical phenomenon has been observed in a self-repair network. Self-repairing by mutual copying is “the double-edged sword” that could cause outbreaks with inappropriate parameters, and careful investigations are needed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barabasi, A.-L.: Linked: The New Science of Networks, Perseus (2002)
Dezso, Z., Barabasi, A.-L.: Halting viruses in scale-free networks. Phys. Rev. E 65, 55103 (2002)
Ishida, Y., Mori, T.: A Network Self-Repair by Spatial Strategies in Spatial Prisoner.s Dilemma (submitted)
Boccara, N., Cheong, K.: Critical behaviour of a probabilistic automata network SIS model for the spread of an infectious disease in a population of moving individuals. J. of Physics A: Math. Gen. 26, 3707–3717 (1993)
Rhodes, C.J., Anderson, R.M.: Dynamics in a Lattice Epidemic Model. Phys. Rev. Lett. A 210, 183–188 (1996)
Rhodes, C.J., Anderson, R.M.: Forest-fires as a Model for the Dynamics of Disease Epidemics. J. of Franklin Inst. 335B(2), 199–211 (1996)
Ishida, Y.: Immunity-Based Systems: A Design Perspective. Springer, Heidelberg (2004)
Domany, E., Kinzel, W.: Equivalence of cellular automata to Ising models and directed percolation. Phys. Rev. Lett. 53, 311 (1984)
Bagnoli, F., Boccara, N., Palmerini, P.: Phase Transitions in a Probabilistic Cellular Automaton with Two Absorbing States, arXiv:cond-mat/9705171 vol. 2 (1997)
Vichnicac, G.Y., Tamayo, P., Hartman, H.: Annealed and quenched inhomogeneous cellular automata. J. Statist. Phys. 45, 875 (1986)
Kinzel, W.: Phase transition of cellular automata. Z. Phys. B 58, 229 (1985)
Eloranta, K.: Contour dynamics in cellular automata. Physica D 89, 184 (1995)
Gacs, P.: Reliable Cellular Automata with Self-Organization. J. Stat. Phys. 103, 45–267 (2001)
Gray, L.F.: A Reader’s Guide to Gac’s ”Positive Rates” Paper. J. Stat. Phys. 103, 1–44 (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ishida, Y. (2005). A Critical Phenomenon in a Self-repair Network by Mutual Copying. In: Khosla, R., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2005. Lecture Notes in Computer Science(), vol 3682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11552451_12
Download citation
DOI: https://doi.org/10.1007/11552451_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28895-4
Online ISBN: 978-3-540-31986-3
eBook Packages: Computer ScienceComputer Science (R0)