03729nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172050001600186072001600202072002300218072001500241100008300256245008000339250001800419264006900437300006400506336002600570337002600596338003600622347002400658490006400682505028300746520160201029650003602631650003402667650002102701650003102722650006102753650003802814650003602852710003402888773002602922776003602948776003602984776003603020830006403056856004603120912001403166912001403180999001703194978-3-031-55590-9DE-He21320251030112255.0cr nn 008mamaa240603s2024    sz |    s    |||| 0|eng d  a97830315559099978-3-031-55590-97 a10.1007/978-3-031-55590-92doi 4aTA329-348 4aTA345-345.5 7aTBJ2bicssc 7aTEC0090002bisacsh 7aTBJ2thema1 aCzaja, Ludwik.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut97817410aCellular Cause-Effect Structuresh[electronic resource] /cby Ludwik Czaja.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXV, 117 p. 72 illus., 50 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aStudies in Systems, Decision and Control,x2198-4190 ;v5260 aPreface -- 1 ABC of cause-effect structures -- 2 Cellular version of cause-effect structures -- 3 Structures on non-planar surfaces -- 4 Beyond the 2-dimensional bases -- 5 Multi-valued cells -- 6 Combining structures into cellular -- 7 Correct and incorrect summation -- Index.  aThis book presents the adaptation of cause-effect structures to the formal description of phenomena such as the behaviour of living objects, the mutual communication of living cells, but also such as the growth of crystals and other natural processes. The system of cause-effect structures has been designed for the description and analysis of objects with dispersed components, acting concurrently and synchronizing and communicating one another. This adaptation consists in customizing generic semantics of cause-effect structures to semantics specific to the behaviour of natural objects. That is creating evolution rules for the formal models of these objects. However, the structural, algebraic properties of cause-effect structures are retained. The activity of cellular cause-effect structures is supposed to imitate the activity of cellular automata, the formal system intended for the above-mentioned aims. But operations on syntactic constructions, in particular their transformations and simplification, are the same as for the general cause-effect structures. These algebraic operations are also used to perform certain geometric/topological conversions of location bases for the cellular cause-effect structures, like flat surfaces into cylindrical or toroidal. This is depicted by numerous illustrations. An adaptation of cause-effect structures to other formal descriptions of some natural phenomena, such as reaction systems, is provided in book 331 of the “Lecture Notes in Networks and Systems” series, whereas the complete description of cause-effect structures, in book 45. 0aEngineering mathematics.964145 0aEngineeringxData processing. 0aDynamics.965524 0aNonlinear theories.96552514aMathematical and Computational Engineering Applications.24aApplied Dynamical Systems.96553024aEngineering Mathematics.9641452 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303155589308iPrinted edition:z978303155591608iPrinted edition:z9783031555923 0aStudies in Systems, Decision and Control,x2198-4190 ;v52640uhttps://doi.org/10.1007/978-3-031-55590-9  aZDB-2-ENG  aZDB-2-SXE  c60478d60478