Investigation of the global dynamics of cellular automata using Boolean derivatives

DOI10.1016/J.CAMWA.2008.11.012zbMath1186.68308OpenAlexW1985769837MaRDI QIDQ971639

Amita Pal, Subir Kumar Bhandari, Mithun Chakraborty, Sudhakar Sahoo, Pabitra Pal Choudhury

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.11.012

zbMATH Keywords

error functionBoolean functionsJacobian matrixalgebraic normal formlinear and affine functionsmodified Jacobian matrixstate transition diagramwolfram's naming scheme

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80)

Related Items (4)

A DETERMINISTIC APPROACH TO THE SYNCHRONIZATION OF NONLINEAR CELLULAR AUTOMATA ⋮ Boolean derivative calculation with application to fault detection of combinational circuits via the semi-tensor product method ⋮ Boolean differential operators ⋮ Classification of Boolean functions where affine functions are uniformly distributed

Cites Work

• Matrix algebraic formulae concerning some exceptional rules of two-dimensional cellular automata
• Boolean derivatives on cellular automata
• BOOLEAN DERIVATIVES AND COMPUTATION OF CELLULAR AUTOMATA
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