Boolean delay equation

As a novel type of semi-discrete dynamical systems, Boolean delay equations (BDEs) are models with Boolean-valued variables that evolve in continuous time. Since at the present time, most phenomena are too complex to be modeled by partial differential equations (as continuous infinite-dimensional systems), BDEs are intended as a (heuristic) first step on the challenging road to further understanding and modeling them. For instance, one can mention complex problems in fluid dynamics, climate dynamics, solid-earth geophysics, and many problems elsewhere in natural sciences where much of the discourse is still conceptual.

External links

• Ghil M, Zaliapin I. "A Novel Fractal Way: Boolean Delay Equations and Their Applications to the Geosciences" (PDF). atmos.ucla.edu. Archived from the original (PDF) on 2006-07-21. Retrieved 2006-05-26. {{cite journal}}: Cite journal requires |journal= (help)
• Boolean Delay Equations: A New Type of Dynamical Systems and Its Applications to Climate and Earthquakes
• Wright DG, Stocker TF, Mysak LA (1990). "A note on quaternary climate modelling using Boolean delay equations" (PDF). Climate Dynamics. 4 (4): 263–7. Bibcode:1990ClDy....4..263W. doi:10.1007/BF00211063.
• Oktem H, Pearson R, Egiazarian K (December 2003). "An adjustable aperiodic model class of genomic interactions using continuous time Boolean networks (Boolean delay equations)". Chaos. 13 (4): 1167–74. Bibcode:2003Chaos..13.1167O. doi:10.1063/1.1608671. PMID 14604408. Archived from the original on 2013-02-23.
• Ghil M, Zaliapin I, Coluzzi B (2008). "Boolean Delay Equations: A simple way of looking at complex systems". Physica D. 237 (23): 2967–86. arXiv:nlin.CG/0612047. Bibcode:2008PhyD..237.2967G. doi:10.1016/j.physd.2008.07.006.