Abstract
Paper present a model of carrier personnel from experimental results. Model consists of two components such as a trend equation and the distribution of deviations from trend data. Trend equation is analytic function with mixed polynomial degree. Rejection levels are approximated by Rayleigh distribution law. Both models provide a system for objective assessments identifying personnel. There is used one of the methods of Nonlinear Dynamics, namely the method of phase portrait, enabled by the new present dynamics of operator activities. Using statistical methods based on linear paradigm, the dynamics of the object of study trend of time series. However, by using a trend, we actually get the dynamics it is index-time processing operator image test and time choice and decision. This says nothing about the functional state of an object, i.e., the person of the operator. The use of method of phase portrait presents changes in the functional state of the system in the form of a sequence of fragments of the phase trajectory-quasi cycles.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Smidtaite, R., Navickas, Z., Venskaityte, E.: ECG research using elements of matrix analysis and phase planes. Electron. Electr. Eng. 7(103), 83–86 (2010)
Bobalo, Y., Stakhiv, P., Mandziy, B., Shakhovska, N., Holoschuk, R.: The concept of electronic textbook “Fundamentals of theory of electronic circuits”. PRZEGLĄD ELEKTROTECHNICZNY (Electrical Review), pp 16–18. ISSN 0033-2097, R. 88 NR 3a/2012
Kirchgässner, G., Wolters, J.: Introduction to Modern Time Series Analysis. Springer, Berlin (2007)
Strogatz, S.H.: Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Addison-Wesley, New York (1994)
Toupo Danielle, F.P., Strogatz, S.H.: Nonlinear dynamics of the rock-paper-scissors game with mutations. Phys. Rev. E 91, 052907. Published 11 May 2015
Goldstein, J.: Attractors and Nonlinear Dynamical Systems. (2011). http://c.ymcdn.com/sites/www.plexusinstitute.org/resourceresmgr/files/deeperlearningspring2011.pdf. Accessed 12 Oct 2015
Yamamoto, Y.: Detection of Chaos and Fractals from Experimental Time Series. Modern Techniques in Neuroscience Research, pp. 669–687. Springer, Berlin (1999)
Phase Plane Methods. Chapter 10. http://www.math.utah.edu/~gustafso/f2010/dynamicalSystems.pdf. Accessed 1 Dec 2015
The Phase Plane. http://www.math.psu.edu/tseng/class/Math251/Notes-PhasePlane.pdf. Accessed 1 Oct 2015
Armin, F., Huys, R., Viktor, K.J.: Dynamical Systems in One and Two Dimensions: A Geometrical Approach. Nonlinear Dynamics in Human Behavior. Springer, Berlin (2010)
Takens, F.: Detecting strange attractors in turbulence. In: Rand, D.A., Young, L.S. (eds.) Dynamical Systems and Turbulence. Lecture Notes in Mathematics, pp. 366–381. Springer, Heidelberg (1981)
Plesnik, E., Malgina, O., Tasic, J.F., Zajc, M.: Detection of the electrocardiogram fiducial points in the phase space using area calculation. Elektrotehniški vestnik 78(5), 257–262 (2011). (English edition)
Polyak, M.: Phase-plane method: a practical approach. http://www.researchgate.net/publication/215552403_Phase-plane_method_a_practical_approach. Accessed 1 Oct 2015
Mokritskaya, T.: The phase portrait and degradation in soil. Int. J. Eng. Sci. Invent. 2(4), 27–31 (2013)
Hegger, R.: Practical implementation of nonlinear time series methods: The TISEAN package. CHAOS 9, pp. 413–435 (1999)
Kantz, H.: Nonlinear Time Series Analysis. Cambridge University Press, Cambridge (1997)
Kuzemin, A., Lyashenko, V.: Fuzzy set theory approach as the basis of analysis of financial flows in the economical security system. Int. J. Inf. Theor. Appl. 13(1), 45–51 (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Shakhovska, N., Nych, L., Kaminskyj, R. (2017). The Identification of the Operator’s Systems Images Using the Method of the Phase Portrait. In: Shakhovska, N. (eds) Advances in Intelligent Systems and Computing. Advances in Intelligent Systems and Computing, vol 512. Springer, Cham. https://doi.org/10.1007/978-3-319-45991-2_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-45991-2_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-45990-5
Online ISBN: 978-3-319-45991-2
eBook Packages: EngineeringEngineering (R0)