LARGEST LYAPUNOV EXPONENT OF CHAOTIC OSCILLATORY REGIMES COMPUTING FROM POINT PROCESSES IN THE NOISE PRESENCE
Cite this article as:
Mohammad Y. K., Pavlov A. N. LARGEST LYAPUNOV EXPONENT OF CHAOTIC OSCILLATORY REGIMES COMPUTING FROM POINT PROCESSES IN THE NOISE PRESENCE. Izvestiya VUZ. Applied Nonlinear Dynamics, 2015, vol. 23, iss. 6, pp. 31-39. DOI: https://doi.org/10.18500/0869-6632-2015-23-6-31-39
We propose a modified method for computing of the largest Lyapunov exponent of chaotic oscillatory regimes from point processes at the presence of measurement noise that does not influence on the system’s dynamics. This modification allow a verification to be made of the estimated dynamical characteristics precision. Using the Rossler system in the regime of a phase-coherent chaos we consider features of application of this method to point processes of the integrate-and-fire and the threshold-crossing models.
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BibTeX
author = {Yasir Khalaf Mohammad and A. N. Pavlov},
title = {LARGEST LYAPUNOV EXPONENT OF CHAOTIC OSCILLATORY REGIMES COMPUTING FROM POINT PROCESSES IN THE NOISE PRESENCE},
year = {2015},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {23},number = {6},
url = {https://old-andjournal.sgu.ru/en/articles/largest-lyapunov-exponent-of-chaotic-oscillatory-regimes-computing-from-point-processes-in},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2015-23-6-31-39},pages = {31--39},issn = {0869-6632},
keywords = {колебания,Хаос,Показатели Ляпунова,точечные процессы},
abstract = {We propose a modified method for computing of the largest Lyapunov exponent of chaotic oscillatory regimes from point processes at the presence of measurement noise that does not influence on the system’s dynamics. This modification allow a verification to be made of the estimated dynamical characteristics precision. Using the Rossler system in the regime of a phase-coherent chaos we consider features of application of this method to point processes of the integrate-and-fire and the threshold-crossing models. Download full version }}