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Application of the Energy Dot Product (EDP) in Recognizing the Energy Flow Synchronization

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the article construction and application of the EDP is introduced. This construction is based on the transformation of the traditional phase space into the energy space. After this transformation the state vector and its derivative determine the energy flow plane. The angle between these vectors shows energy flow direction. Application of such a construction in recognizing the energy flow synchronization is shown.
Rocznik
Strony
17--29
Opis fizyczny
Bibliogr. 34 poz.
Twórcy
  • Technical University of Łódź, Division of Dynamics Stefanowskiego 1/15, 90-924 Łódź, Poland, Ar2rDe@p.lodz.pl
Bibliografia
  • [1] Kapitaniak, T.: Chaos for engineers, Springer-Verlag Berlin Heidelberg 1998.
  • [2] Dąbrowski, A.: The construction of the energy space, Chaos, Solitons and Fractals, 26, 1277-1292, 2005.
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  • [9] Dąbrowski, A. and Kapitaniak, T.: Using chaos to reduce oscillations, Nonlinear Phenomena in Complex Systems, 4, (2), p. 206-211, 2001.
  • [10] Dąbrowski, A.: New design of the impact damper, Mechanics and Mechanical Engineering, 4, (2), (2000), p. 191-196.
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  • [15] Mace, B. R.: The statistical energy analysis of two continuous one-dimensional subsystems, Journal of Sound and Vibration, 166, 429-461, 1994.
  • [16] Stefański, A.: Praca Habilitacyjna: Estymacja maksymalnego wykładnika Lapunowa układów dynamicznych w oparciu o zjawisko synchronizacji, Politechnika Łódzka, Zeszyty Naukowe, Nr 941, 2004.
  • [17] Lachaux, J.P., Chavez, M. and Lutz, A.: A simple measure of correlation across time, frequency and space between continuous brain signals, J. Neuroscience Methods, 123, 175-188, 2003.
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  • [19] Rodrigues, E., George, N., Lachaux, J. P., Martinerie, J., Renault, B. and Varela, F.:Perception's shadow: long distance synchronization of human brain activity, Nature, 397, 430-3, 1999.
  • [20] Lachaux, J. P., Rodrigues, E., Le Van Quyen, M., Lutz, A., Martinerie, J. and Varela, F.: Studying single-trials of phase synchronous activity in the brain, Int. J. Bifurcat. Chaos, 10(9), 2429-39, 2000.
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  • [29] Korotkov, K. G.: Human Energy Field: study with GDV Bioelectrography, Backbone Publishing Company, USA, 2002.
  • [30] Gourdon, E. and Lamarque, C. H.: Energy pumping for a larger span of energy, Journal of Sound and Vibration, 285, (3), 711-720, 2005.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0012-0002
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