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Multifractal Detrended Cross-Correlation Analysis of BVP model time series

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Abstract

The Bonhoeffer–van der Pol (BVP) oscillator has widely application in the modeling of biological processes, and it also has rich nonlinear behavior including different topological properties between the continuous-time BVP oscillator and the discrete one. Multifractal Detrended Cross-Correlation Analysis (MF-DCCA) has proved useful in describing the correlations and detecting the scaling exponent of time series. We investigate the autocorrelations and cross-correlations of the time series in BVP model by using the MF-DCCA method. Our results show that there exist long range autocorrelations and cross-correlations in the BVP model time series, and that multifractal features are significant in the analyzed BVP model.

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  1. School of Science, Beijing Jiaotong University, Beijing, 100044, P.R. China

    Chongfeng Xue, Pengjian Shang & Wang Jing

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  1. Chongfeng Xue
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  2. Pengjian Shang
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  3. Wang Jing
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Correspondence to Chongfeng Xue.

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Xue, C., Shang, P. & Jing, W. Multifractal Detrended Cross-Correlation Analysis of BVP model time series. Nonlinear Dyn 69, 263–273 (2012). https://doi.org/10.1007/s11071-011-0262-5

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