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nlin.CD2019★ 18 cited
Quantifying non-periodicity of non-stationary time series through wavelets
Vicente J. Bolos, Rafael Benitez, Roman Ferrer
In this paper, we introduce a new wavelet tool for studying the degree of non-periodicity of time series that is based on some recently defined tools, such as the \textit{windowed…
nlin.CD2010★ 3 cited
Invariant manifolds of the Bonhoeffer-van der Pol oscillator
R. Benítez, V. J. Bolós
The stable and unstable manifolds of a saddle fixed point (SFP) of the Bonhoeffer-van der Pol oscillator are numerically studied. A correspondence between the existence of homoclin…
nlin.CD2010★ 99 cited
A wavelet-based tool for studying non-periodicity
R. Benítez, V. J. Bolós, M. E. Ramírez
This paper presents a new numerical approach to the study of non-periodicity in signals, which can complement the maximal Lyapunov exponent method for determining chaos transitions…