Initial value problem of evolution equations defined by lattice operators

Autor:	Ikegami, Takatoshi, Takahashi, Daisuke, Matsukidaira, Junta
Rok vydání:	2013
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Nonlinear Sciences - Cellular Automata and Lattice Gases
Druh dokumentu:	Working Paper
Popis:	We propose dynamical systems defined on algebra of lattices, which we call `lattice equations'. We give exact general solutions of initial value problems for a class of lattice equations, and evaluate the complexity of the solutions. Moreover we discuss the relationship between those equations and binary cellular automata. Comment: 18 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1302.2734 Zobrazit plný text záznamu View this record from Arxiv