Basics in mathematics and distributed algorithms

Satoshi Murata, Haruhisa Kurokawa

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this chapter, we study briefly the mathematical foundations for building self-organizing mechanical systems. First, we discuss diffusion dynamics in a physical continuum, and then introduce reaction-diffusion systems that generate spatial patterns, and cellular automaton models which behave like those continuous systems in discrete state, space and time. Since the actual hardware realization of self-organizing mechanical systems often utilizes digital control and communication, some typical problems with such distributed information systems will be discussed.

Original languageEnglish
Title of host publicationSelf-Organizing Robots
Pages59-75
Number of pages17
EditionSTAR
DOIs
Publication statusPublished - 2012 Apr 27

Publication series

NameSpringer Tracts in Advanced Robotics
NumberSTAR
Volume77
ISSN (Print)1610-7438
ISSN (Electronic)1610-742X

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Artificial Intelligence

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  • Cite this

    Murata, S., & Kurokawa, H. (2012). Basics in mathematics and distributed algorithms. In Self-Organizing Robots (STAR ed., pp. 59-75). (Springer Tracts in Advanced Robotics; Vol. 77, No. STAR). https://doi.org/10.1007/978-4-431-54055-7_4