Multifractal Detrended Cross-Correlation Analysis Of BVP Model Time Series

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 auto-correlations and cross-correlations of the time series in BVP model by using the MF-DCCA method. Our results show that there exist long range auto-correlations and cross-correlations in the BVP model time series, and that multifractal features are significant in the analyzed BVP model.