36 citations · 38 across the 3 of their papers we have counts for
3 papers
nlin.CD2005
Exact nonparametric inference for detection of nonlinear determinism
Xiaodong Luo, Jie Zhang, Michael Small +1
We propose an exact nonparametric inference scheme for the detection of nonlinear determinism. The essential fact utilized in our scheme is that, for a linear stochastic process wi…
nlin.CD2004★ 36 cited
Surrogate Test to Distinguish between Chaotic and Pseudoperiodic Time Series
Xiaodong Luo, Tomomichi Nakamura, Michael Small
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…
nlin.CD2003★ 2 cited
Geometric measures of redundance and irrelevance tradeoff exponent to choose suitable delay times for continuous systems
Xiaodong Luo, Michael Small
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 system…