TY - CHAP
T1 - Basics in mathematics and distributed algorithms
AU - Murata, Satoshi
AU - Kurokawa, Haruhisa
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84860202308&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84860202308&partnerID=8YFLogxK
U2 - 10.1007/978-4-431-54055-7_4
DO - 10.1007/978-4-431-54055-7_4
M3 - Chapter
AN - SCOPUS:84860202308
SN - 9784431540540
T3 - Springer Tracts in Advanced Robotics
SP - 59
EP - 75
BT - Self-Organizing Robots
ER -