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1 Mechanics and Mechanical Engineering

1 2017

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

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Balcerzak M. , Pikunov D.

tom Vol. 21, nr 4

985--994

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.