Complex Systems

Phenomenology of Tensor Modulation in Elementary Kinetic
Automata Download PDF

Yuri V. Shalygo
Gamma Ltd.
19, Nekrasova str.
Vyborg, 188800, Russia

Abstract

This paper continues and extends the earlier works by the author on a novel model of a complex dynamical system called a kinetic automaton. The primary goal of the paper is to introduce an alternative tensor-based method of modulation and to demonstrate that it not only significantly enhances the tunability of the model and the complexity of its behavior, but also is able to emulate many other discrete-time continuous-state dynamical systems. The paper provides the results of the investigation of spatio-temporal patterns arising under different modes or parameters of modulation in elementary (one-dimensional) kinetic automata. Special attention is given to quantity conservation, which is the most salient feature of the model.