2009
DOI: 10.1007/s10559-009-9123-3
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Abstract: The structure of a class of automata is analyzed. These automata are analogs of symmetric chaotic dynamical systems over a finite ring, namely, the Guckenheimer-Holmes cycle and free-running systems. Problems of parametric identification and identification of initial states are solved, and a set of fixed points of automaton mappings is characterized.

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Cited by 1 publication
(5 citation statements)
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“…For automata over the ring K = + × ( , , ) K , problems of construction of classes of equivalent states for an automaton, identification of the initial state of an automaton, parametric identification, and also construction of sets of fixed points for automaton mappings are reduced to the solution of corresponding systems (linear or nonlinear) of equations (as a rule, with parameters) over the ring K (which is illustrated in [12][13][14][15] in investigating automata over the ring Z p k ).…”
Section: Solution Of Systems Of Polynomial Equations Over a Finite Ringmentioning
confidence: 99%
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“…For automata over the ring K = + × ( , , ) K , problems of construction of classes of equivalent states for an automaton, identification of the initial state of an automaton, parametric identification, and also construction of sets of fixed points for automaton mappings are reduced to the solution of corresponding systems (linear or nonlinear) of equations (as a rule, with parameters) over the ring K (which is illustrated in [12][13][14][15] in investigating automata over the ring Z p k ).…”
Section: Solution Of Systems Of Polynomial Equations Over a Finite Ringmentioning
confidence: 99%
“…Scheme 2. Replacing elements of the ring K by elements of the set B in formula (14) and operations in the ring K by actions in the algebraic system B that are specified by equalities (15) and (16), we obtain the following system of equations:…”
Section: Solution Of Systems Of Polynomial Equations Over a Finite Ringmentioning
confidence: 99%
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