A Modified 0-1 Test for Chaos Detection in Oversampled Time Series Observations

Autor:	Samrat L. Sabat, J. Yves Effa, J.S. Armand Eyebe Fouda, Bertrand Bodo
Rok vydání:	2014
Předmět:	Series (mathematics) Dynamical systems theory Applied Mathematics Binary number Observable Lorenz system Nonlinear Sciences::Chaotic Dynamics CHAOS (operating system) Maxima and minima Control theory Modeling and Simulation Time series Engineering (miscellaneous) Algorithm Mathematics
Zdroj:	International Journal of Bifurcation and Chaos. 24:1450063
ISSN:	1793-6551 0218-1274
DOI:	10.1142/s0218127414500631
Popis:	The use of binary 0-1 test for chaos detection is limited to detect chaos in oversampled time series observations. In this paper we propose a modified 0-1 test in which, binary 0-1 test is applied to the discrete map of local maxima and minima of the original observable in contrast to the direct observable. The proposed approach successfully detects chaos in oversampled time series data. This is verified by simulating different numerical simulations of Lorenz and Duffing systems. The simulation results show the efficiency and computational gain of the proposed test for chaos detection in the continuous time dynamical systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d15a407a43724510c16e5f2dc4ba5729 https://doi.org/10.1142/s0218127414500631 Zobrazit plný text záznamu