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Related Experiment Videos

Dynamic characterizers of spatiotemporal intermittency.

Zahera Jabeen1, Neelima Gupte

  • 1Indian Institute of Technology-Madras, Chennai, 600036, India. zahera@physics.iitm.ac.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

This study explores spatiotemporal intermittency (STI) in coupled sine circle maps, finding both directed percolation (DP) and non-DP behaviors within the same system. Analysis of eigenvalue and multifractal spectra distinguishes these distinct dynamical regimes.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Spatiotemporal intermittency (STI) is a complex phenomenon observed in various extended systems.
  • Directed percolation (DP) describes a universal class of phase transitions characterized by spatial and temporal correlations.
  • Coupled sine circle maps provide a tractable model for studying emergent behaviors in nonlinear systems.

Purpose of the Study:

  • To investigate the occurrence and characteristics of spatiotemporal intermittency (STI) in a system of coupled sine circle maps.
  • To identify parameter regimes exhibiting directed percolation (DP) class behavior versus non-DP behavior.
  • To analyze the dynamic signatures differentiating DP and non-DP regimes.

Main Methods:

  • Phase diagram analysis of coupled sine circle maps.

Related Experiment Videos

  • Examination of the spectrum of eigenvalues of the linear stability matrix.
  • Multifractal spectral analysis of eigenvalue distributions.

    • Main Results:

    • Identified parameter regimes where STI belongs to the directed percolation (DP) class.
    • Observed regimes of pure spatial intermittency (non-DP behavior) within the same system.
    • Distinguished DP and non-DP behavior through continuous versus gapped eigenvalue spectra (level repulsion).
    • Multifractal spectra confirmed the distinct signatures of DP and non-DP dynamics.

    Conclusions:

    • Coupled sine circle maps exhibit both DP and non-DP spatiotemporal intermittency.
    • Eigenvalue and multifractal spectral properties serve as key discriminators for these behaviors.
    • The findings offer insights into correlation buildup mechanisms in extended dynamical systems.