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THE GRAMMATICAL COMPLEXITY AND SYMMETRY BREAKING OF SYMMETRICAL DYNAMICAL SYSTEMS
Authors:Lu Qinhe
Affiliation:MathematicsDepartment,SuzhouUniversity
Abstract:In this paper we discuss the grammatical complexity of dynamical systems, Which satisfy antisymmetric condition and their iteratve interval can be diveded into three monotone subintervals. A necessary and sufficient candition for the language determined by this system being regular language is proved. Using the minimal DFA, symmetry breaking is analysed.
Keywords:complexity    minimal DFA  symmetry breaking.
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