TY - GEN UR - http://lib.ugent.be/catalog/pug01:1234674 ID - pug01:1234674 LA - eng TI - Towards generalized measures grasping CA dynamics PY - 2010 SN - 9783642159787 SN - 0302-9743 PB - Berlin AU - Baetens, Jan LA26 002002372515 802000227176 0000-0003-4084-9992 AU - De Baets, Bernard LA26 801000738267 0000-0002-3876-620X AU - Bandini, Stefania editor AU - Manzoni, Sara editor AU - Umeo, Hiroshi editor AU - Vizzari, Giuseppe editor AB - In this paper we conceive Lyapunov exponents, measuring the rate of separation between two initially close configurations, and Jacobians, expressing the sensitivity of a CA's transition function to its inputs, for cellular automata (CA) based upon irregular tessellations of the n-dimensional Euclidean space. Further, we establish a relationship between both that enables us to derive a mean-field approximation of the upper bound of an irregular CA's maximum Lyapunov exponent. The soundness and usability of these measures is illustrated for a family of 2-state irregular totalistic CA. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 1234674 | ||
005 | 20180813140753.0 | ||
008 | 110524s2010------------------------eng-- | ||
020 | a 9783642159787 | ||
022 | a 0302-9743 | ||
024 | a 000289188200020 2 wos | ||
024 | a 1854/LU-1234674 2 handle | ||
024 | a 10.1007/978-3-642-15979-4_20 2 doi | ||
040 | a UGent | ||
245 | a Towards generalized measures grasping CA dynamics | ||
260 | a Berlin, Germany b Springer c 2010 | ||
520 | a In this paper we conceive Lyapunov exponents, measuring the rate of separation between two initially close configurations, and Jacobians, expressing the sensitivity of a CA's transition function to its inputs, for cellular automata (CA) based upon irregular tessellations of the n-dimensional Euclidean space. Further, we establish a relationship between both that enables us to derive a mean-field approximation of the upper bound of an irregular CA's maximum Lyapunov exponent. The soundness and usability of these measures is illustrated for a family of 2-state irregular totalistic CA. | ||
598 | a P1 | ||
700 | a Baetens, Jan u LA26 0 002002372515 0 802000227176 0 0000-0003-4084-9992 9 F92FD08A-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a De Baets, Bernard u LA26 0 801000738267 0 0000-0002-3876-620X 9 F4728EE8-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Bandini, Stefania e editor | ||
700 | a Manzoni, Sara e editor | ||
700 | a Umeo, Hiroshi e editor | ||
700 | a Vizzari, Giuseppe e editor | ||
650 | a Mathematics and Statistics | ||
653 | a Jacobian | ||
653 | a irregular tessellation | ||
653 | a Lyapunov exponent | ||
653 | a CELLULAR-AUTOMATA MODEL | ||
653 | a LYAPUNOV EXPONENTS | ||
653 | a RAINFALL | ||
653 | a NETWORK | ||
653 | a FLOW | ||
773 | t 9th International conference on Cellular Automata for Research and Industry g Lect. Notes Comput. Sci. 2010. Springer. 6350 p.177-187 q 6350:<177 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/1234674/file/1234688 z [open] y BaetensDeBaets1.pdf | ||
920 | a confcontrib | ||
Z30 | x BW 1 LA10 | ||
922 | a UGENT-BW |
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