@inproceedings{KimuraMakinoMaegaitoetal.,
  author    = {Kimura, Atsushi and Makino, Y. and Maegaito, Kentaro and Suzuki, Osamu},
  title     = {ITERATION DYNAMICAL SYSTEMS OF DISCRETE LAPLACIANS ON THE PLANE LATTICE (II) (THE VISUAL IMPRESSIONS GIVEN BY DESIGN-PATTERNS)},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  doi       = {10.25643/bauhaus-universitaet.2973},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29731},
  pages     = {4},
  abstract  = {The present study was designed to investigate the underlying factors determining the visual impressions of design-patterns that have complex textures. Design-patterns produced by "the dynamical system defined by iterations of discrete Laplacians on the plane lattice" were adopted as stimuli because they were not only complex, but also defined mathematically. In the experiment, 21 graduate and undergraduate students sorted 102 design-patterns into several groups by visual impressions. Those 102 patterns were classified into 12 categories by the cluster analysis. The results showed that the regularity of pattern was a most efficient factor for determining visual impressions of design-pattern, and there were some correspondence between visual impressions and mathematical variables of design-pattern. Especially, the visual impressions were influenced greatly by the neighborhood, and less influenced by steps of iterations.},
  subject      = {Architektur <Informatik>},
  language  = {en}
}
@inproceedings{SuzukiLawrynowiczNounoetal.,
  author    = {Suzuki, Osamu and Lawrynowicz, Julian and Nouno, Kiyoharu and Nagayama, Daiki},
  title     = {BINARY AND TERNARY CLIFFORD ANALYSIS ON NONION ALGEBRA AND SU(3)},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2788},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27880},
  pages     = {12},
  abstract  = {A concept of non-commutative Galois extension is introduced and binary and ternary extensions are chosen. Non-commutative Galois extensions of Nonion algebra and su(3) are constructed. Then ternary and binary Clifford analysis are introduced for non-commutative Galois extensions and the corresponding Dirac operators are associated.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{Suzuki,
  author    = {Suzuki, Osamu},
  title     = {RECENT RESULTS ON ITERATION DYNAMICAL SYSTEMS OF DISCRETE LAPLACIANS ON THE PLANE LATTICE},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2895},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28954},
  pages     = {13},
  abstract  = {The recent development on the mathematical theory and the computer simulations of iteration dynamical system of discrete Laplacian on the plane lattice is reviewed and the future problem is discussed.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{AibaMaegaitoSuzuki,
  author    = {Aiba, Yoshihisa and Maegaito, Kentaro and Suzuki, Osamu},
  title     = {Iteration dynamical systems of discrete Laplacians on the plane lattice(I) (Basic properties and computer simulations of the dynamical systems)},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  doi       = {10.25643/bauhaus-universitaet.2917},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29178},
  pages     = {3},
  abstract  = {In this study we introduce a concept of discrete Laplacian on the plane lattice and consider its iteration dynamical system. At first we discuss some basic properties on the dynamical system to be proved. Next making their computer simulations, we show that we can realize the following phenomena quite well:(1) The crystal of waters (2) The designs of carpets, embroideries (3) The time change of the numbers of families of extinct animals, and (4) The echo systems of life things. Hence we may expect that we can understand the evolutions and self organizations by use of the dynamical systems. Here we want to make a stress on the following fact: Although several well known chaotic dynamical systems can describe chaotic phenomena, they have difficulties in the descriptions of the evolutions and self organizations.},
  subject      = {Architektur <Informatik>},
  language  = {en}
}