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Detecting and identifying non-stationary courses in the ripping head power consumption by recurrence plots

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References

  1. Jonak J, Gajewski J (2006) Identifying the cutting tool type used in excavations using neural networks. Tunn Undergr Space Technol 21:185–189

    Article  Google Scholar 

  2. Jonak J, Gajewski J (2008) Identification of ripping tool types with the use of characteristic statistical parameters of timegraphs. Tunn Undergr Space Technol 23:18–24

    Article  Google Scholar 

  3. Takens F (1981) Detecting strange attractors in turbulence. Lecture notes in mathematics, vol 898. Springer, Heidelberg, pp 366–381

    Google Scholar 

  4. Hegger R, Kantz H, Schreiber T (1999) Practical implementation of nonlinear time series methods: The TISEAN package. Chaos 9:413–435

    Article  MATH  ADS  Google Scholar 

  5. Kantz H, Schreiber T (1997) Non-linear time series analysis. Cambridge University Press, Cambridge

    Google Scholar 

  6. Abarbanel HDI (1996) Analysis of observed chaotic data. Springer, Berlin

    MATH  Google Scholar 

  7. Litak G, Gajewski J, Syta A, Jonak J (2008) Quantitative estimation of the tools wear effect in a ripping head by recurrence plots. J Theor Appl Mech 46:521–530

    Google Scholar 

  8. Marwan N, Romano MC, Thiel M, Kurths J (2007) Recurrence plots for the analysis of complex systems. Phys Rep 438:237–329

    Article  MathSciNet  ADS  Google Scholar 

  9. Litak G, Borowiec M, Hunicz J, Koszalka G, Niewczas A (2009) Vertical vibrations of a delivery car excited by railway track crossing. Chaos Solitons Fractals 42:270–276

    Article  Google Scholar 

  10. Eckmann J-P, Kamphorst SO, Ruelle D (1987) Recurrence plots of dynamical systems. Europhys Lett 5:973–977

    Article  ADS  Google Scholar 

  11. Casdagli MC (1997) Recurrence plots revisited. Physica D 108:12–44

    MATH  MathSciNet  ADS  Google Scholar 

  12. Webber CL Jr, Zbilut JP (1994) Dynamical assessment of physiological systems and states using recurrence plot strategies. J Appl Physiol 76:965–973

    Google Scholar 

  13. Marwan N (2008) A historical review of recurrence plots. Eur Phys J Spec Top 164:3–12

    Article  Google Scholar 

  14. Marwan N (2009) Commandline recurrence plots, http://www.agnld.uni-potsdam.de/~marwan/6.download/rp.php (May 10th 2009)

  15. Thiel M, Romano MC, Read PL, Kurths J (2004) Estimation of dynamical invariants without embedding by recurrence plots. Chaos 14:234–243

    Article  MATH  MathSciNet  ADS  Google Scholar 

  16. Litak G, Kamiński T, Czarnigowski J, Żukowski D, Wendeker M (2007) Cycle-to-cycle oscillations of heat release in a spark ignition engine. Meccanica 42:423–433

    Article  MATH  Google Scholar 

  17. Romano MC, Thiel M, Kurths J, Kiss IZ, Hudson JL (2005) Detection of synchronization for non-phase-coherent and non-stationary data. Europhys Lett 71:466–472

    Article  ADS  Google Scholar 

  18. Thiel M, Romano MC, Kurths J (2004) How much information is contained in a recurrence plot? Phys Lett A 330:343–349

    Article  MATH  MathSciNet  ADS  Google Scholar 

  19. Sen AK, Longwic R, Litak G, Górski K (2008) Cycle-to-cycle pressure oscillations in a diesel engine. Mech Syst Signal Process 22:362–373

    Article  ADS  Google Scholar 

  20. Klimaszewska K, Żebrowski JJ (2009) Detection of the type of intermittency using characteristic patterns in recurrence plots. Phys Rev E 80:026214

    ADS  Google Scholar 

  21. Litak G, Wiercigroch M, Horton BW, Xu X (2009) Transient chaotic behaviour versus periodic motion of a pendulum by recurrence plots. Z Angew Math Mech (in press). doi:10.1002/zamm.200900290

  22. Litak G, Rusinek R, Teter A (2004) Nonlinear analysis of experimental time series of a straight turning process. Meccanica 39:105–112

    Article  MATH  Google Scholar 

  23. Krivtsov AM, Wiercigroch M (1999) Dry friction model of percussive drilling. Meccanica 34:425–434

    Article  MATH  Google Scholar 

  24. Tucker RW, Wang C (2003) (2003) Torsional vibration control and cosserat dynamics of a drill-rig assembly. Meccanica 38:145–161

    Article  MATH  Google Scholar 

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Litak, G., Syta, A., Gajewski, J. et al. Detecting and identifying non-stationary courses in the ripping head power consumption by recurrence plots. Meccanica 45, 603–608 (2010). https://doi.org/10.1007/s11012-009-9265-4

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  • DOI: https://doi.org/10.1007/s11012-009-9265-4

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