• Data assimilation with Chua’s circuit

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/conf/001/01/0025-0034

    • Keywords

       

      Synchronization; ensemble Kalman filter; data assimilation

    • Abstract

       

      Data assimilation refers to a set of techniques used to combine observational information with numerical models for chaotic dynamical systems and provides a rich interface between dynamical and statistical methodologies in nonlinear dynamics. The main aim of this paper is to compare and contrast two extensively studied paradigms in each of these approaches: on one hand, the ensemble Kalman filter which is a statistical estimation technique, and on the other hand, chaotic synchronization that has been studied in many other contexts, by viewing synchronization as a data assimilation method. In particular, we study the sensitivity of these two methods to changes in observational noise and observational frequency, using both simulated observations and data obtained from an experimental realization of a commonly used low-dimensional dynamical system, namely, Chua circuit, in both the periodic as well as the chaotic regime.

      PACS Nos 05.45.Xt; 05.45.Ac

    • Author Affiliations

       

      MISHTY RAY1 AMOL AMODKAR1 AMIT APTE2

      1. Indian Institute of Science Education and Research (IISER), Mohali, Punjab 140 306, India
      2. International Centre for Theoretical Sciences (ICTS-TIFR), Bengaluru 560 089, India
    • Dates

       
  • Indian Academy of Sciences
    Conference Series | News

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