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Fisher information and nonlinear dynamics

Author

Listed:
  • Martin, M.T.
  • Perez, J.
  • Plastino, A.

Abstract

The past decade has witnessed an impressive growth in the scope and variety of physical applications of Fisher's information measure (FIM). As a consequence, FIM is widely regarded today as providing one with a unifying principle for physics. In the present paper, we investigate its usefulness in connection with the description of important aspects of the behavior of dynamical systems, and find that the unification referred to above can be extended to the field of these systems.

Suggested Citation

  • Martin, M.T. & Perez, J. & Plastino, A., 2001. "Fisher information and nonlinear dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 291(1), pages 523-532.
    • Handle: RePEc:eee:phsmap:v:291:y:2001:i:1:p:523-532
    DOI: 10.1016/S0378-4371(00)00531-8
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    Cited by:

    1. Spichak, David & Kupetsky, Audrey & Aragoneses, Andrés, 2021. "Characterizing complexity of non-invertible chaotic maps in the Shannon–Fisher information plane with ordinal patterns," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Telesca, Luciano & Lovallo, Michele & Mohamed, Abuo El-Ela Amin & ElGabry, Mohamed & El-hady, Sherif & Elenean, Kamal M. Abou & ElBary, Rafaat ElShafey Fat, 2012. "Informational analysis of seismic sequences by applying the Fisher Information Measure and the Shannon entropy: An application to the 2004–2010 seismicity of Aswan area (Egypt)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(9), pages 2889-2897.
    3. Telesca, Luciano & Lovallo, Michele & Ramirez-Rojas, Alejandro & Angulo-Brown, Fernando, 2009. "A nonlinear strategy to reveal seismic precursory signatures in earthquake-related self-potential signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2036-2040.
    4. Li, Xudong & Telesca, Luciano & Lovallo, Michele & Xu, Xuan & Zhang, Jun & Song, Weiguo, 2020. "Spectral and informational analysis of pedestrian contact force in simulated overcrowding conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    5. Potirakis, S.M. & Minadakis, G. & Eftaxias, K., 2012. "Analysis of electromagnetic pre-seismic emissions using Fisher information and Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 300-306.
    6. Lovallo, Michele & Pierini, Jorge O. & Telesca, Luciano, 2012. "Power spectrum and Fisher–Shannon information plane analysis of tidal records," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4711-4719.
    7. Telesca, Luciano & Lovallo, Michele & Alcaz, Vasile & Ilies, Ion, 2015. "Site-dependent organization structure of seismic microtremors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 541-547.
    8. Telesca, Luciano & Lovallo, Michele & Alcaz, Vasile & Ilies, Ion, 2014. "Investigating the inner time properties of seismograms by using the Fisher Information Measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 154-161.
    9. Telesca, Luciano & Lovallo, Michele & Babayev, Gulam & Kadirov, Fakhraddin, 2013. "Spectral and informational analysis of seismicity: An application to the 1996–2012 seismicity of the Northern Caucasus–Azerbaijan part of the greater Caucasus–Kopet Dag region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6064-6078.
    10. Moreno-Torres, Lucia Rebeca & Gomez-Vieyra, Armando & Lovallo, Michele & Ramírez-Rojas, Alejandro & Telesca, Luciano, 2018. "Investigating the interaction between rough surfaces by using the Fisher–Shannon method: Implications on interaction between tectonic plates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 560-565.
    11. Telesca, Luciano & Lovallo, Michele & Shaban, Amin & Darwich, Talal & Amacha, Nabil, 2013. "Singular spectrum analysis and Fisher–Shannon analysis of spring flow time series: An application to Anjar Spring, Lebanon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3789-3797.
    12. Ba, Rui & Song, Weiguo & Lovallo, Michele & Zhang, Hui & Telesca, Luciano, 2022. "Informational analysis of MODIS NDVI and EVI time series of sites affected and unaffected by wildfires," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    13. Telesca, Luciano & Abate, Nicodemo & Faridani, Farid & Lovallo, Michele & Lasaponara, Rosa, 2023. "Revealing traits of phytopathogenic status induced by Xylella Fastidiosa in olive trees by analysing multifractal and informational patterns of MODIS satellite evapotranspiration data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    14. Guignard, Fabian & Lovallo, Michele & Laib, Mohamed & Golay, Jean & Kanevski, Mikhail & Helbig, Nora & Telesca, Luciano, 2019. "Investigating the time dynamics of wind speed in complex terrains by using the Fisher–Shannon method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 611-621.
    15. Telesca, Luciano & Lovallo, Michele & Hsu, Han-Lun & Chen, Chien-Chih, 2011. "Analysis of dynamics in magnetotelluric data by using the Fisher–Shannon method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1350-1355.
    16. Telesca, Luciano & Lovallo, Michele & Romano, Gerardo & Konstantinou, Konstantinos I. & Hsu, Han-Lun & Chen, Chien-chih, 2014. "Using the informational Fisher–Shannon method to investigate the influence of long-term deformation processes on geoelectrical signals: An example from the Taiwan orogeny," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 340-351.
    17. Telesca, Luciano & Lovallo, Michele & Chamoli, Ashutosh & Dimri, V.P. & Srivastava, K., 2013. "Fisher–Shannon analysis of seismograms of tsunamigenic and non-tsunamigenic earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3424-3429.

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