DOI 10.17586/002134542016599729734
UDC 004.81; 613.86; 159.913
INDICATION OF MENTAL CONTAMINATION IN ULTRAMETRIC STATE SPACE OF pADIC MODEL OF THE SUBJECT’S BEHAVIOR
A. F. Mozhaisky Military Space Academy, Department of Information Collecting and Processing Systems;
R. B. Zholus
A. F. Mozhaisky Military Space Academy;
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Abstract. The problem of ensuring information and psychological security is considered. A universal approach to proactively respond to potentially dangerous conditions of individual and group consciousness, based on mathematical modeling and forecasting of dynamics of mental state of a thinking system in ultrametric padic coordinate system is proposed. Application of the lattice theory to ultrametric modelling of mental dynamics is justified. A hypothesis concerning possibility of formal mathematical description of mental contamination as a subset in phase space of dynamic behavior model of a person is formulated and substantiated. Statements and appropriate proofs regarding the number and properties of fixed points of monomial dynamic systems as well as objects generated by them – attractors, repellers, and Siegel disks are presented. An essential theoretical contribution made to the theory of identification consists in application of abstract nonArchimedean analysis to modelling of states dynamics of conscience as specific complex system.
Keywords: proactive security, mental contamination, information and psychological security, risk prevention, padic computation, nonArchimedean analysis, identification theory
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