Some Qualitative Phenomena in Cellular Wave Computing byLeventeT¨or¨ok B.Eng. College of Mechanical Engineering and Automation (1995) M.Eng. University of Miskolc (2000) Submitted to the Technical University of Budapest in a fullfillment of the requirements for the degree of Doctor of Phylosophy August 2005 Under the supervision of ´ AkosZar´andy,Ph.D. With the help of the scientific adviser Tam´as Roska, D.Sc. Analogic and Neural Computing Laboratory, Computer and Automation Research Institute Hungarian Academy of Sciences