Manifestation of Chaos in Real Complex Systems: Case of Parkinson's Disease

@article{Yulmetyev2006ManifestationOC,
  title={Manifestation of Chaos in Real Complex Systems: Case of Parkinson's Disease},
  author={Renat M. Yulmetyev and Sergey A. Demin and Peter Hānggi},
  journal={arXiv: Medical Physics},
  year={2006},
  pages={175-196}
}
In this chapter we present a new approach to the study of manifestations of chaos in real complex system. Recently we have achieved the following result. In real complex systems the informational measure of chaotic chatacter (IMC) can serve as a reliable quantitative estimation of the state of a complex system and help to estimate the deviation of this state from its normal condition. As the IMC we suggest the statistical spectrum of the non-Markovity parameter (NMP) and its frequency behavior… 
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References

SHOWING 1-10 OF 41 REFERENCES
Stochastic dynamics of time correlation in complex systems with discrete time
  • Yulmetyev, Hanggi, Gafarov
  • Computer Science
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 2000
TLDR
Application of this technique on the analysis of stochastic dynamics of RR intervals from human ECG's shows convincing evidence for a non-Markovian phenomemena associated with a peculiarities in short- and long-range scaling.
Quantification of heart rate variability by discrete nonstationary non-Markov stochastic processes.
TLDR
It is found out that the full sets of non-Markov, discrete and nonstationary parameters can serve as reliable and powerful means of diagnosis of the cardiovascular system states and can be used to distinguish healthy data from pathologic data.
Possibility between earthquake and explosion seismogram differentiation by discrete stochastic non-Markov processes and local Hurst exponent analysis.
TLDR
It is demonstrated that discrete non-Markov stochastic processes and long-range memory effects play a crucial role in the behavior of seismic systems I-IV.
Controlling chaos in the Belousov—Zhabotinsky reaction
DETERMINISTIC chaos is characterized by long-term unpredictability arising from an extreme sensitivity to initial conditions. Such behaviour may be undesirable, particularly for processes dependent
Suppression of chaos by resonant parametric perturbations.
  • Lima, Pettini
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1990
TLDR
It is shown how it is possible, by means of a small parametric perturbation of suitable frequency, to bring the system to a regular regime in the dynamics of a Duffing-Holmes oscillator.
Theoretical and experimental aspects of chaos control by time-delayed feedback.
TLDR
The results show that the control performance can be understood on the basis of experimentally accessible quantities without resort to any model for the internal dynamics.
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