Application of recurrence plots as a new tool in the analysis of electrochemical oscillations of copper

Cazares-Ibáñez, E.; Vázquez-Coutiño, G.A.; Garcı́a-Ochoa, E.

doi:10.1016/j.jelechem.2005.03.046

Cited by 53 publications

(33 citation statements)

References 34 publications

(29 reference statements)

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“…The high values of %D from 75% to 98% correspond physically to localised corrosion processes and the behaviour of this dynamical system as pointed out by CazaresIbañez et al is quasi-periodic [33]. The high value of %D for the stainless steel in solubilised condition is associated to the effect of 0.5 M H 2 SO 4 ?…”

Section: Recurrence Plots Analysismentioning

confidence: 65%

Analysis of the dynamics of Intergranular corrosion process of sensitised 304 stainless steel using recurrence plots

et al. 2008

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This study presents the assessment of the dynamics of intergranular corrosion of austenitic stainless steel with different degrees of sensitization through the analysis of electrochemical current noise signals. Samples of S30400 stainless steel were aged at 923 K for 50, 250 and 1,000 min before being quenched in water. The double Loop Electrochemical Potentiokinetic Reactivation test was applied to assess the degree of sensitization. The electrochemical noise data were analysed using a novel mathematical tool named Recurrence Plots (RP). This method allowed us to assess the dynamics of the intergranular corrosion process of the steel in a H 2 SO 4 ? KSCN solution at room temperature. The study was conducted using a recurrence quantification analysis (RQA) from which it was possible to determine the percent of recurrence (%R), the percent of determinism (%D) and the information Entropy of the corrosion process. It was found that these parameters increased with the sensitisation intensity, which indicates that sensitisation induced a more deterministic dynamics on the electrochemical process.

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Section: Recurrence Plots Analysismentioning

confidence: 65%

Analysis of the dynamics of Intergranular corrosion process of sensitised 304 stainless steel using recurrence plots

et al. 2008

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“…The percent determinism (D%), contained the information about the duration of a stable interaction: the longer the interactions, the higher the D% value. Some researchers [33][34][35][36] further revealed that higher the D% value, the higher stable localized corrosion weight of all the corrosion events occurred on the metal surface. The D% value of Ni-Cr-Mo-V steel with and without crevice was illustrated in Fig.…”

Section: Recurrence Plots Analysismentioning

confidence: 99%

“…Some researchers pointed out that EN signals show chaos nature and the geometry of the dynamics exploiting nonlinear dependencies even in non-stationary time series [33][34][35][36]. Recurrence plots analysis is new approach to study the behavior of non-linear dynamical systems [33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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Electrochemical noise analysis on the crevice corrosion behavior of Ni–Cr–Mo–V high strength steel using recurrence plots

et al. 2010

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This article makes a study of electrochemical noise analysis on the crevice corrosion behavior of Ni-CrMo-V high strength steel using recurrence plots. The crevice corrosion behavior of Ni-Cr-Mo-V high strength steel was investigated by the electrochemical noise (EN) technique and SEM observation. The experimental results reveal that the crevice corrosion could be distinguished by three stages including induction stage, transformation stage, and stable stage. While increasing the growth probability of metastable corrosion, the presence of crevice decreases the initiation rate of metastable corrosion. In the case of crevice, the metastable corrosion is easy to develop into stable one.

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“…The time series located at the same channel positions with and without magnetic field are studied using phase space reconstruction methods and more specifically the Cross Recurrence Plots (CRPs) method (Eckmann et al 1987;Marwan 2003) and the Cross Recurrence Quantification Analysis (CRQA) (Webber and Zbilut 1994;Marwan et al 2003Marwan et al , 2007 which extracts quantitative information from CRPs. CRQA is the extension of the Recurrence Quantification Analysis method which has been used in the study of various dynamical systems such as proteins (Zbilut et al 2004;Giuliani et al 2002), corrosion (Cazares -Ibanez et al 2005), financial systems (Strozzi et al 2002;Fabretti and Ausloos 2005), physiological systems (Marwan et al 2002a, b;Marwan and Meinke 2004;Riley et al 1999), molecular systems (Karakasidis et al 2007), among many others. The CRP method is applied on climatological and geophysical data (Marwan et al 2002a, b;, financial data (Addoa et al 2013;Crowley and Aaron 2010), engineering data (Nichols et al 2006;Shockley et al 2002;Serrà et al 2009;Wang et al 2012), astronomical data (Deng et al 2013;Ponyavin and Zolotova 2004;Sparavigna 2008), Physics and Mathematics (Ganapathy et al 2007), Biology etc.…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal Time Series Analysis Methods for the Study of Turbulent Magnetohydrodynamic Channel Flows

et al. 2015

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In the present study, the direct numerical simulation of the turbulent flow of an electrically conductive fluid in a channel is performed and time series are recorded at a range of locations along the y-direction between the parallel plates of the channel. An external streamwise magnetic field is applied and the correlations between pairs of time series of the fluctuating velocities from the magnetohydrodynamic and the hydrodynamic cases measured at the same probing location of the channel are analyzed. We compare the situation with and without magnetic field using the nonlinear method of Cross Recurrence Plots and Cross Recurrence Quantification Analysis (CRQA). The results of CRQA indicate very well the spatiotemporal extension of the effect of the applied magnetic field on the flow and are in very good agreement with the detailed analysis obtained with other methods.

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Application of recurrence plots as a new tool in the analysis of electrochemical oscillations of copper

Cited by 53 publications

References 34 publications

Analysis of the dynamics of Intergranular corrosion process of sensitised 304 stainless steel using recurrence plots

Analysis of the dynamics of Intergranular corrosion process of sensitised 304 stainless steel using recurrence plots

Electrochemical noise analysis on the crevice corrosion behavior of Ni–Cr–Mo–V high strength steel using recurrence plots

Spatiotemporal Time Series Analysis Methods for the Study of Turbulent Magnetohydrodynamic Channel Flows

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