ON OSCILLATORS IN PHYLLOSILICATE EXCITABLE AUTOMATA

Andrew Adamatzky ()
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Andrew Adamatzky: University of the West of England, Bristol, UK

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 06, 1-10

Abstract: Phyllosilicate is a sheet of silicate tetrahedra bound by basal oxygens. A phyllosilicate excitable automaton is a regular network of finite state machines, which mimics structure of a silicate sheet. A node of the silicate sheet is an automaton, which takes resting, excited and refractory states, and updates its state in discrete time depending on a sum of excited states of its three (silicon automata) or six (oxygen automata) closest neighbors. Oscillator is a localized compact configuration of nonquiescent states which undergoes finite growth and modification but returns to its original state in a finite number of steps. We show that phyllosilicate excitable automata exhibit waves and oscillating localizations (oscillators) dynamics. Basic types of oscillators are classified and characterized.

Keywords: Cellular automata; silicate; oscillator; excitation; 89.75.Kd; 81.16.Rf; 73.21.-b (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500344

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