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

• Autorzy: Balcerzak M. , Pikunov D.
• 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

EN

largest Lyapunov exponent; continuous systems; time delay; estimation method; nonlinear dynamics

PL

największy wykładnik Lapunowa; układy ciągłe; opóźnienia czasowe; metoda estymacji; dynamika nieliniowa

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• 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.

• Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, Lodz, Poland

autor

Pikunov D.

• Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, Lodz, Poland

Bibliografia

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