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<p>Die Seite wurde neu angelegt: „ == Reference == Dirk Fischer, Eric Goles and Mario Markus: <a href="/index.php?title=Frieze-Generation_Using_Artificial_Life" title="Frieze-Generation Using Artificial Life">Frieze-Generation Using Artificial Life</a>. In: <a href="/index.php?title=Bridges_2003" title="Bridges 2003">Bridges 2003</a>. Pages 151–160 == DOI == == …“</p> <p><b>Neue Seite</b></p><div><br /> == Reference ==<br /> Dirk Fischer, Eric Goles and Mario Markus: [[Frieze-Generation Using Artificial Life]]. In: [[Bridges 2003]]. Pages 151–160 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> We modify the behaviour of the virtual ant introduced by Langton [1] by forcing it with periodical binary<br /> sequences. The turning direction of the ant at the ith iteration depends on whether the ith element of the<br /> binary sequence is zero or one. An overwhelming variety of frieze-like trajectories is obtained. Thus, this<br /> system is a novel prototype of high complexity resulting from simple rules. If the forcing is described by a<br /> real-valued parameter p, then any computationally feasible change t:::.p renders completely different patterns.<br /> Thus, sensitivity with respect to the control parameter can be conjectured to be infinitely large.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] C. Langton, Studying artificial life with cellular automata, Physica D, Vo1.22, pp. 120-149.1986.<br /> <br /> [2] D. Gale, The industrious ant, Math. Intelligencer, Vol. 15, pp. 54-55. 1993.<br /> <br /> [3] I. Stewart, The ultimate in anty-particles, Sci. Am., July, pp. 88-91. 1994.<br /> <br /> [4] J. Propp, Further Ant-ics, Math. Intelligencer, Vol. 16, pp. 37-42. 1994.<br /> <br /> [5] D. Gale, J. Propp, S. Sutherland &amp; S. Troubetzkoy, Further travels with my ant, Math.<br /> Intelligencer, Vol. 17, pp. 48-56. 1995.<br /> <br /> [6] A. Moreira, A. Gajardo &amp; E. Goles, Dynamical behaviour and complexity of Langton&#039;s ant,<br /> Complexity, Vol. 6, pp. 46-51. 2001.<br /> <br /> [7] J.P. Boon, How fast does Langton&#039;s ant move 1, J. stat. Phys., Vol. 102, pp.355-360. 2001.<br /> <br /> [8] J. Gunn &amp; M. Ortuiio, Percolation and motion in a single random environment, J.Phys. A,<br /> Vol. 18, pp. L1095-L1099. 1985.<br /> <br /> [9] Th. W. Ruijgrok &amp; E.G.P. Cohen, Deterministic lattice gas models, Phys. Lett. A, Vol. 133,<br /> pp. 415-418. 1988.<br /> <br /> [10] X.P. Kong &amp; E.G.P. Cohen, Anomalous diffusion in a lattice gas wind-tree model, Phys. Rev.<br /> B, Vol. 40, pp. 4838-4853. 1989.<br /> <br /> [11] J.C. Sommerer &amp; E. Ott, A physical system with qualitative uncertain dynamics, Nature, Vol.<br /> 365, pp.138-140. 1993.<br /> <br /> [12] M. Woltering &amp; M. Markus, Riddled basins of coupled elastic arches, Phys. Lett. A, Vol. 260,<br /> pp. 453-461. 1999.<br /> <br /> [13] RA. Toole, Ada, the enchantress of numbers, Strawberry Press, Mill Valley, CA. 1992.<br /> <br /> [14] E. Goles &amp; S. Martinez (eds.), Cellular automata and complex systems, Kluwer, Dordrecht.<br /> 1999.<br /> <br /> [15] J.D. Murray, Mathematical Biology, Springer-Verlag, Berlin. 1989.<br /> <br /> [16] M. Markus, Chaos in maps with continuous and discontinuous maxima, Computers in Physics,<br /> Vol. Sept/Oct, pp. 481-493. 1988.<br /> <br /> [17] M. Markus &amp; R Hess, Lyapunov exponents of the logistic map with periodic forcing, Comput.&amp;<br /> Graphics, Vol. 13, pp. 553-558. 1989<br /> <br /> [18] M. Markus, A scientist&#039;s adventures in postmodernism, Leonardo, Vol. 33, pp.179-186 .. 2000.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2003/bridges2003-151.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2003/bridges2003-151.html</div>

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