Practical implementation of nonlinear time series methods: The TISEAN package. We describe the implementation of methods of nonlinear time series analysis which are based on the paradigm of deterministic chaos. A variety of algorithms for data representation, prediction, noise reduction, dimension and Lyapunov estimation, and nonlinearity testing are discussed with particular emphasis on issues of implementation and choice of parameters. Computer programs that implement the resulting strategies are publicly available as the TISEAN software package. The use of each algorithm will be illustrated with a typical application. As to the theoretical background, we will essentially give pointers to the literature.

References in zbMATH (referenced in 142 articles , 1 standard article )

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  1. Barrios, Guillermo; Huelsz, Guadalupe; Rechtman, Raúl: Heat transfer and flow transitions of a thermal plume generated by a heating element on the enclosure bottom wall (2019)
  2. Yazdanbakhsh, Omolbanin; Dick, Scott: FANCFIS: fast adaptive neuro-complex fuzzy inference system (2019)
  3. Danca, Marius-F.; Kuznetsov, Nikolay: Matlab code for Lyapunov exponents of fractional-order systems (2018)
  4. Lancaster, Gemma; Iatsenko, Dmytro; Pidde, Aleksandra; Ticcinelli, Valentina; Stefanovska, Aneta: Surrogate data for hypothesis testing of physical systems (2018)
  5. Ma, Huanfei; Leng, Siyang; Chen, Luonan: Data-based prediction and causality inference of nonlinear dynamics (2018)
  6. Muñoz-Pacheco, J. M.; Guevara-Flores, D. K.; Félix-Beltrán, O. G.; Tlelo-Cuautle, E.; Barradas-Guevara, J. E.; Volos, C. K.: Experimental verification of optimized multiscroll chaotic oscillators based on irregular saturated functions (2018)
  7. Alves, Paulo Ricardo L.; Duarte, L. G. S.; da Mota, L. A. C. P.: A new characterization of chaos from a time series (2017)
  8. Christopoulos, Stavros-Richard G.; Sarlis, Nicholas V.: An application of the coherent noise model for the prediction of aftershock magnitude time series (2017)
  9. Huffaker, Ray; Bittelli, Marco; Rosa, Rodolfo: Nonlinear time series analysis with R (2017)
  10. McCullough, M.; Small, M.; Iu, H. H. C.; Stemler, T.: Multiscale ordinal network analysis of human cardiac dynamics (2017)
  11. Tumkur, Ravi Kumar R.; Pearlstein, Arne J.; Masud, Arif; Gendelman, Oleg V.; Blanchard, Antoine B.; Bergman, Lawrence A.; Vakakis, Alexander F.: Effect of an internal nonlinear rotational dissipative element on vortex shedding and vortex-induced vibration of a sprung circular cylinder (2017)
  12. Udhayakumar, Radhagayathri K.; Karmakar, Chandan; Palaniswami, Marimuthu: Approximate entropy profile: a novel approach to comprehend irregularity of short-term HRV signal (2017)
  13. Kuznetsov, N. V.: The Lyapunov dimension and its estimation via the Leonov method (2016)
  14. Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A.: Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations (2016)
  15. Wang, Wen-Xu; Lai, Ying-Cheng; Grebogi, Celso: Data based identification and prediction of nonlinear and complex dynamical systems (2016)
  16. Zambrano-Serrano, E.; Campos-Cantón, E.; Muñoz-Pacheco, J. M.: Strange attractors generated by a fractional order switching system and its topological horseshoe (2016)
  17. Bradley, Elizabeth; Kantz, Holger: Nonlinear time-series analysis revisited (2015)
  18. Donges, Jonathan F.; Heitzig, Jobst; Beronov, Boyan; Wiedermann, Marc; Runge, Jakob; Feng, Qing Yi; Tupikina, Liubov; Stolbova, Veronika; Donner, Reik V.; Marwan, Norbert; Dijkstra, Henk A.; Kurths, Jürgen: Unified functional network and nonlinear time series analysis for complex systems science: the pyunicorn package (2015)
  19. Jonathan F. Donges, Jobst Heitzig, Boyan Beronov, Marc Wiedermann, Jakob Runge, Qing Yi Feng, Liubov Tupikina, Veronika Stolbova, Reik V. Donner, Norbert Marwan, Henk A. Dijkstra, J. Kurths: Unified functional network and nonlinear time series analysis for complex systems science: The pyunicorn package (2015) arXiv
  20. McCullough, Michael; Small, Michael; Stemler, Thomas; Iu, Herbert Ho-Ching: Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems (2015)

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