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Xiaodong Luo

Publications and source records attributed to Xiaodong Luo.

56 records · Page 4Linked to original sources

Surrogate Test to Distinguish between Chaotic and Pseudoperiodic Time Series

In this communication a new algorithm is proposed to produce surrogates for pseudoperiodic time series. By imposing a few constraints on the noise components of pseudoperiodic data sets, we devise an effective method to generate surrogates. Unlike other algorithms, this method properly copes with pseudoperiodic orbits contaminated with linear colored observational noise. We will demonstrate the ability of this algorithm to distinguish chaotic orbits from pseudoperiodic orbits through simulation data sets from theRössler system. As an example of application of this algorithm, we will also employ it to investigate a human electrocardiogram (ECG) record.

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Geometric measures of redundance and irrelevance tradeoff exponent to choose suitable delay times for continuous systems

Using the concept of the geometric measures of redundance and irrelevance tradeoff exponent (RITE)}, we present a new method to determine suitable delay times for continuous systems. After applying the RITE algorithm to both simulation and experimental observations, we find the results obtained are close to those obtained from the criterion of the average mutual information (AMI), while the RITE algorithm has the following advantages: simple implementation, reasonable computational cost and robust performance against observational noise.

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