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Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows

Author

Listed:
  • Inga Timofejeva
  • Kristina Poskuviene
  • Maosen Cao
  • Minvydas Ragulskis

Abstract

A simple and effective algorithm for the identification of optimal time delays based on the geometrical properties of the embedded attractor is presented in this paper. A time series synchronization measure based on optimal time delays is derived. The approach is based on the comparison of optimal time delay sequences that are computed for segments of the considered time series. The proposed technique is validated using coupled chaotic Rössler systems.

Suggested Citation

  • Inga Timofejeva & Kristina Poskuviene & Maosen Cao & Minvydas Ragulskis, 2018. "Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows," Complexity, Hindawi, vol. 2018, pages 1-16, August.
    • Handle: RePEc:hin:complx:8259496
    DOI: 10.1155/2018/8259496
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