Prediction of complex oscillations in the dynamics of coupled chaotic systems using transients

O.N. Pavlova and A.N. Pavlov

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: Forecasting complex oscillations based on transients is limited for stochastic and chaotic systems. Unlike restoring further samples, forecasting the emerging oscillatory mode is another important problem, especially near bifurcation points or in the case of multistability. Using the model of two diffusively coupled Rössler oscillators, we recognize various types of chaotic and hyperchaotic attractors, considering a relatively small amount of data, including transients. We show that different methods give similar estimates for a data set required, which is based on the behavior of several quantitative measures depending on the number of samples. The exclusion of the initial part of the data does not allow to reduce the total signal duration necessary for the forecast.

Keywords: Complex oscillations; Transient process; Detrended fluctuation analysis; Return times; Chaotic attractor (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119321247

DOI: 10.1016/j.physa.2019.123818

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