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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-91f1fc95-6bd4-4e92-a348-bb99ebcd44a9

Czasopismo

Mechanics and Mechanical Engineering

Tytuł artykułu

The fastest, simplified method of estimation of the largest Lyapunov exponent for continuous dynamical systems with time delay

Autorzy Balcerzak, M.  Pikunov, D. 
Treść / Zawartość http://www.kdm.p.lodz.pl/mme-art.html
Warianty tytułu
Języki publikacji EN
Abstrakty
EN This paper focuses on the applications of the new method of estimation of the Largest Lyapunov exponent. The method has been adapted to continuous dynamical systems with time delay. The paper presents efficiency of the new method in comparison with classical algorithms of LLE estimation. Computation times and convergence rates have been compared with the typically used method. It has been revealed in this paper that for the van der Pol oscillator, application of the new method increases the efficiency of calculations by 28% comparing to the classic one. Therefore, authors claim that the method presented in this paper is the fastest one in the assumed range of applications.
Słowa kluczowe
PL największy wykładnik Lapunowa   układy ciągłe   opóźnienia czasowe   metoda estymacji   dynamika nieliniowa  
EN largest Lyapunov exponent   continuous systems   time delay   estimation method   nonlinear dynamics  
Wydawca De Gruyter
Czasopismo Mechanics and Mechanical Engineering
Rocznik 2017
Tom Vol. 21, nr 4
Strony 985--994
Opis fizyczny Bibliogr. 47 poz., wykr.
Twórcy
autor Balcerzak, M.
autor Pikunov, D.
  • Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, Lodz, Poland
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