{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T19:56:01Z","timestamp":1725566161293},"publisher-location":"Berlin, Heidelberg","reference-count":38,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642159787"},{"type":"electronic","value":"9783642159794"}],"license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-15979-4_20","type":"book-chapter","created":{"date-parts":[[2010,9,19]],"date-time":"2010-09-19T16:58:22Z","timestamp":1284915502000},"page":"177-187","source":"Crossref","is-referenced-by-count":0,"title":["Towards Generalized Measures Grasping CA Dynamics"],"prefix":"10.1007","author":[{"given":"Jan M.","family":"Baetens","sequence":"first","affiliation":[]},{"given":"Bernard","family":"De Baets","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"20_CR1","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1016\/j.amc.2008.06.046","volume":"204","author":"A. Alexandridis","year":"2008","unstructured":"Alexandridis, A., Vakalis, D., Siettos, C., Bafas, G.: A cellular automata model for forest fire spread prediction: The case of the wildfire that swept through Spetses Island in 1990. Appl. Math. Comp.\u00a0204, 191\u2013201 (2008)","journal-title":"Appl. Math. Comp."},{"key":"20_CR2","doi-asserted-by":"crossref","unstructured":"Baetens, J., De Baets, B.: Cellular automata on irregular tessellations. Chaos, Solitons Fractals (2010) (submitted)","DOI":"10.1109\/SISY.2010.5647239"},{"key":"20_CR3","doi-asserted-by":"crossref","unstructured":"Baetens, J., De Baets, B.: Phenomenological study of irregular cellular automata based on Lyapunov exponents and Jacobians. Chaos (2010) (submitted)","DOI":"10.1063\/1.3460362"},{"key":"20_CR4","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1103\/PhysRevE.59.409","volume":"59","author":"F. Bagnoli","year":"1999","unstructured":"Bagnoli, F., Rechtman, R.: Synchronization and maximum Lyapunov exponents of cellular automata. Phys. Rev. E: Stat. Nonlinear Soft Matter Phys.\u00a059, R1307\u2013R1310 (1999)","journal-title":"Phys. Rev. E: Stat. Nonlinear Soft Matter Phys."},{"key":"20_CR5","doi-asserted-by":"publisher","first-page":"41115","DOI":"10.1103\/PhysRevE.79.041115","volume":"79","author":"F. Bagnoli","year":"2009","unstructured":"Bagnoli, F., Rechtman, R.: Thermodynamic entropy and chaos in a discrete hydrodynamical system. Phys. Rev. E: Stat. Nonlinear Soft Matter Phys.\u00a079, 041115 (2009)","journal-title":"Phys. Rev. E: Stat. Nonlinear Soft Matter Phys."},{"key":"20_CR6","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1016\/0375-9601(92)90185-O","volume":"172","author":"F. Bagnoli","year":"1992","unstructured":"Bagnoli, F., Rechtman, R., Ruffo, S.: Damage spreading and Lyapunov exponents in cellular automata. Phys. Lett. A\u00a0172, 34\u201338 (1992)","journal-title":"Phys. Lett. A"},{"key":"20_CR7","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/S0304-3800(97)00202-0","volume":"107","author":"H. Baltzer","year":"1998","unstructured":"Baltzer, H., Braun, P., K\u00f6hler, W.: Cellular automata models for vegetation dynamics. Ecol. Modell.\u00a0107, 113\u2013125 (1998)","journal-title":"Ecol. Modell."},{"key":"20_CR8","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/978-3-662-04637-1_5","volume-title":"Geocomputational Modelling","author":"M. Batty","year":"2001","unstructured":"Batty, M.: Cellular dynamics: modelling urban growth as a spatial epidemic. In: Fischer, M., Leung, Y. (eds.) Geocomputational Modelling, pp. 109\u2013141. Springer, Berlin (2001)"},{"key":"20_CR9","doi-asserted-by":"publisher","first-page":"2325","DOI":"10.1088\/0305-4470\/29\/10\/012","volume":"29","author":"B. Chopard","year":"1996","unstructured":"Chopard, B., Luthi, P., Queloz, P.: Cellular automata model of car traffic in a two-dimensional street network. J. Phys. A: Math. Gen.\u00a029, 2325\u20132336 (1996)","journal-title":"J. Phys. A: Math. Gen."},{"key":"20_CR10","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1623\/hysj.52.3.579","volume":"52","author":"E. Coppola","year":"2007","unstructured":"Coppola, E., Tomassetti, B., Mariotti, L., Verdecchia, M., Visconti, G.: Cellular automata algorithms for drainage network extraction and rainfall assimilation. Hydrol. Sci. J.\u00a052, 579\u2013592 (2007)","journal-title":"Hydrol. Sci. J."},{"key":"20_CR11","doi-asserted-by":"publisher","first-page":"1499","DOI":"10.1007\/s10955-006-9172-1","volume":"124","author":"M. Courbage","year":"2006","unstructured":"Courbage, M., Kami\u0144ski, B.: Space-time directional Lyapunov exponents for cellular automata. J. Stat. Phys.\u00a0124, 1499\u20131509 (2006)","journal-title":"J. Stat. Phys."},{"key":"20_CR12","doi-asserted-by":"publisher","first-page":"778","DOI":"10.1016\/j.jvolgeores.2008.01.041","volume":"177","author":"G. Crisci","year":"2008","unstructured":"Crisci, G., Iovine, G., Gregorio, S.D., Lupiano, V.: Lava-flow hazard on the SE flank of Mt. Etna (Southern Italy). J. Volcanol. Geotherm. Res.\u00a0177, 778\u2013796 (2008)","journal-title":"J. Volcanol. Geotherm. Res."},{"key":"20_CR13","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1016\/j.parco.2006.12.003","volume":"33","author":"D. D\u2019Ambrosio","year":"2007","unstructured":"D\u2019Ambrosio, D., Spataro, W.: Parallel evolutionary modelling of geological processes. Parallel Comput.\u00a033, 186\u2013212 (2007)","journal-title":"Parallel Comput."},{"key":"20_CR14","volume-title":"Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Applications, and Analysis","author":"A. Deutsch","year":"2005","unstructured":"Deutsch, A., Dormann, S.: Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Applications, and Analysis. Birkh\u00e4user, Bonn (2005)"},{"key":"20_CR15","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1038\/scientificamerican1284-14","volume":"251","author":"A. Dewdney","year":"1984","unstructured":"Dewdney, A.: Sharks and fish wage an ecological war on the toroidal planet. Sci. Am.\u00a0251, 14\u201322 (1984)","journal-title":"Sci. Am."},{"key":"20_CR16","doi-asserted-by":"publisher","DOI":"10.1142\/4702","volume-title":"Cellular Automata. A Discrete Universe","author":"A. Ilachinski","year":"2001","unstructured":"Ilachinski, A.: Cellular Automata. A Discrete Universe. World Scientific, London (2001)"},{"key":"20_CR17","volume-title":"Perspectives of Nonlinear Dynamics","author":"E. Jackson","year":"1991","unstructured":"Jackson, E.: Perspectives of Nonlinear Dynamics, vol.\u00a01 and 2. Cambridge University Press, Cambridge (1991)"},{"key":"20_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/1-4020-3690-6","volume-title":"Modelling Chemical Systems using Cellular Automata","author":"L. Kier","year":"2005","unstructured":"Kier, L., Seybold, P., Cheng, C.: Modelling Chemical Systems using Cellular Automata. Springer, Dordrecht (2005)"},{"key":"20_CR19","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/0167-2789(90)90064-V","volume":"42","author":"C. Langton","year":"1990","unstructured":"Langton, C.: Computation at the edge of chaos. Physica D\u00a042, 12\u201337 (1990)","journal-title":"Physica D"},{"key":"20_CR20","doi-asserted-by":"publisher","first-page":"334","DOI":"10.1016\/j.jtbi.2005.08.002","volume":"239","author":"D. Mallet","year":"2006","unstructured":"Mallet, D., De Pillis, L.: A cellular automata model of tumor-immune system interactions. J. Theor. Biol.\u00a0239, 334\u2013350 (2006)","journal-title":"J. Theor. Biol."},{"key":"20_CR21","unstructured":"Milne, J., Fu, S.: Epidemic modelling using cellular automata. In: Proc. ACAL 2003, Canberra, pp. 43\u201357 (December 2003)"},{"key":"20_CR22","doi-asserted-by":"publisher","first-page":"2189","DOI":"10.1002\/hyp.6587","volume":"21","author":"J. Parsons","year":"2007","unstructured":"Parsons, J., Fonstad, M.: A cellular automata model of surface water flow. Hydrol. Processes\u00a021, 2189\u20132195 (2007)","journal-title":"Hydrol. Processes"},{"key":"20_CR23","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1002\/(SICI)1097-0290(19980405)58:1<101::AID-BIT11>3.0.CO;2-M","volume":"58","author":"C. Picioreanu","year":"1998","unstructured":"Picioreanu, C., van Loosdrecht, M., Heijnen, J.: Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach. Biotechnol. and Bioeng.\u00a058, 101\u2013116 (1998)","journal-title":"Biotechnol. and Bioeng."},{"key":"20_CR24","doi-asserted-by":"publisher","first-page":"782","DOI":"10.1061\/(ASCE)0733-9372(2001)127:9(782)","volume":"127","author":"G. Pizarro","year":"2001","unstructured":"Pizarro, G., Griffeath, D., Noguera, D.: Quantitative cellular automaton model for biofilms. J. Environ. Eng.\u00a0127, 782\u2013789 (2001)","journal-title":"J. Environ. Eng."},{"key":"20_CR25","doi-asserted-by":"publisher","DOI":"10.1201\/9780203494899","volume-title":"Cancer Modelling and Simulation","author":"L. Preziosi","year":"2003","unstructured":"Preziosi, L.: Cancer Modelling and Simulation. Chapman & Hall, Boca Raton (2003)"},{"key":"20_CR26","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF02429850","volume":"2","author":"M. Shereshevsky","year":"1991","unstructured":"Shereshevsky, M.: Lyapunov exponents for one-dimensional cellular automata. J. Nonlinear Sci.\u00a02, 1\u20138 (1991)","journal-title":"J. Nonlinear Sci."},{"key":"20_CR27","doi-asserted-by":"publisher","first-page":"1547","DOI":"10.1088\/0951-7715\/13\/5\/308","volume":"13","author":"P. Tisseur","year":"2000","unstructured":"Tisseur, P.: Cellular automata and Lyapunov exponents. Nonlinearity\u00a013, 1547\u20131560 (2000)","journal-title":"Nonlinearity"},{"key":"20_CR28","doi-asserted-by":"publisher","first-page":"688","DOI":"10.1063\/1.166266","volume":"7","author":"J. Ur\u00edas","year":"1997","unstructured":"Ur\u00edas, J., Rechtman, R., Enciso, A.: Sensitive dependence on initial conditions for cellular automata. Chaos\u00a07, 688\u2013693 (1997)","journal-title":"Chaos"},{"key":"20_CR29","doi-asserted-by":"publisher","first-page":"494","DOI":"10.1016\/j.cag.2006.03.016","volume":"30","author":"G. Valette","year":"2006","unstructured":"Valette, G., Pr\u00e9vost, S., Lucas, L., L\u00e9onard, J.: SoDA project: A simulation of soil surface degradation by rainfall. Computer Graphics\u00a030, 494\u2013506 (2006)","journal-title":"Computer Graphics"},{"key":"20_CR30","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/0167-2789(90)90174-N","volume":"45","author":"G. Vichniac","year":"1990","unstructured":"Vichniac, G.: Boolean derivatives on cellular automata. Physica D\u00a045, 63\u201374 (1990)","journal-title":"Physica D"},{"key":"20_CR31","first-page":"1","volume-title":"Cerebral Mechanisms in Behaviour: The Hixon Symposium","author":"J. Neumann von","year":"1951","unstructured":"von Neumann, J.: The general and logical theory of automata. In: Jeffress, L. (ed.) Cerebral Mechanisms in Behaviour: The Hixon Symposium, pp. 1\u201332. Wiley, New York (1951)"},{"key":"20_CR32","volume-title":"Theory of Self-Reproducing Automata","author":"J. Neumann von","year":"1966","unstructured":"von Neumann, J., Burks, A.: Theory of Self-Reproducing Automata. University of Illinois Press, Champaign (1966)"},{"key":"20_CR33","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/j.amc.2006.06.126","volume":"186","author":"S. White","year":"2007","unstructured":"White, S., del Rey, A., Sanchez, G.: Modeling epidemics using cellular automata. Appl. Math. Comput.\u00a0186, 193\u2013202 (2007)","journal-title":"Appl. Math. Comput."},{"key":"20_CR34","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1007\/BF01223745","volume":"93","author":"S. Wolfram","year":"1984","unstructured":"Wolfram, S.: Algebraic properties of cellular automata. Commun. Math. Phys.\u00a093, 219\u2013258 (1984)","journal-title":"Commun. Math. Phys."},{"key":"20_CR35","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0167-2789(84)90245-8","volume":"10","author":"S. Wolfram","year":"1984","unstructured":"Wolfram, S.: Universality and complexity in cellular automata. Physica D\u00a010, 1\u201335 (1984)","journal-title":"Physica D"},{"key":"20_CR36","volume-title":"Cellular Automata and Complexity","author":"S. Wolfram","year":"1994","unstructured":"Wolfram, S.: Cellular Automata and Complexity. Westview Press, Boulder (1994)"},{"key":"20_CR37","volume-title":"A New Kind of Science","author":"S. Wolfram","year":"2002","unstructured":"Wolfram, S.: A New Kind of Science. Wolfram Media Inc., Champaign (2002)"},{"key":"20_CR38","volume-title":"The Global Dynamics of Cellular Automata","author":"A. Wuensche","year":"1992","unstructured":"Wuensche, A., Lesser, M.: The Global Dynamics of Cellular Automata, vol.\u00a01. Addison-Wesley, London (1992)"}],"container-title":["Lecture Notes in Computer Science","Cellular Automata"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-15979-4_20","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,3]],"date-time":"2023-06-03T11:33:54Z","timestamp":1685792034000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-15979-4_20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642159787","9783642159794"],"references-count":38,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-15979-4_20","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}