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Towards generalized measures grasping CA dynamics

Jan Baetens UGent and Bernard De Baets UGent (2010) LECTURE NOTES IN COMPUTER SCIENCE. 6350. p.177-187
abstract
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.
Please use this url to cite or link to this publication:
author
organization
year
type
conference
publication status
published
subject
keyword
Jacobian, irregular tessellation, Lyapunov exponent, CELLULAR-AUTOMATA MODEL, LYAPUNOV EXPONENTS, RAINFALL, NETWORK, FLOW
in
LECTURE NOTES IN COMPUTER SCIENCE
Lect. Notes Comput. Sci.
editor
Stefania Bandini, Sara Manzoni, Hiroshi Umeo and Giuseppe Vizzari
volume
6350
issue title
Cellular automata
pages
177 - 187
publisher
Springer
place of publication
Berlin, Germany
conference name
9th International conference on Cellular Automata for Research and Industry
conference location
Ascoli Piceno, Italy
conference start
2010-09-21
conference end
2010-09-24
Web of Science type
Proceedings Paper
Web of Science id
000289188200020
ISSN
0302-9743
ISBN
9783642159787
DOI
10.1007/978-3-642-15979-4_20
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1234674
handle
http://hdl.handle.net/1854/LU-1234674
date created
2011-05-24 16:36:25
date last changed
2011-05-25 09:29:28
@inproceedings{1234674,
  abstract     = {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.},
  author       = {Baetens, Jan and De Baets, Bernard},
  booktitle    = {LECTURE NOTES IN COMPUTER SCIENCE},
  editor       = {Bandini, Stefania and Manzoni, Sara and Umeo, Hiroshi and Vizzari, Giuseppe},
  isbn         = {9783642159787},
  issn         = {0302-9743},
  keyword      = {Jacobian,irregular tessellation,Lyapunov exponent,CELLULAR-AUTOMATA MODEL,LYAPUNOV EXPONENTS,RAINFALL,NETWORK,FLOW},
  language     = {eng},
  location     = {Ascoli Piceno, Italy},
  pages        = {177--187},
  publisher    = {Springer},
  title        = {Towards generalized measures grasping CA dynamics},
  url          = {http://dx.doi.org/10.1007/978-3-642-15979-4\_20},
  volume       = {6350},
  year         = {2010},
}

Chicago
Baetens, Jan, and Bernard De Baets. 2010. “Towards Generalized Measures Grasping CA Dynamics.” In Lecture Notes in Computer Science, ed. Stefania Bandini, Sara Manzoni, Hiroshi Umeo, and Giuseppe Vizzari, 6350:177–187. Berlin, Germany: Springer.
APA
Baetens, J., & De Baets, B. (2010). Towards generalized measures grasping CA dynamics. In S. Bandini, S. Manzoni, H. Umeo, & G. Vizzari (Eds.), LECTURE NOTES IN COMPUTER SCIENCE (Vol. 6350, pp. 177–187). Presented at the 9th International conference on Cellular Automata for Research and Industry, Berlin, Germany: Springer.
Vancouver
1.
Baetens J, De Baets B. Towards generalized measures grasping CA dynamics. In: Bandini S, Manzoni S, Umeo H, Vizzari G, editors. LECTURE NOTES IN COMPUTER SCIENCE. Berlin, Germany: Springer; 2010. p. 177–87.
MLA
Baetens, Jan, and Bernard De Baets. “Towards Generalized Measures Grasping CA Dynamics.” Lecture Notes in Computer Science. Ed. Stefania Bandini et al. Vol. 6350. Berlin, Germany: Springer, 2010. 177–187. Print.