Search results for: logistic map

• Customization of UWB 3D-RTLS Based on the New Uncertainty Model of the AoA Ranging Technique

  Publication

  • B. Jachimczyk
  • D. Dziak
  • W. J. Kulesza

  - SENSORS - Year 2017

  The increased potential and effectiveness of Real-time Locating Systems (RTLSs) substantially influence their application spectrum. They are widely used, inter alia, in the industrial sector, healthcare, home care, and in logistic and security applications. The research aims to develop an analytical method to customize UWB-based RTLS, in order to improve their localization performance in terms of accuracy and precision. The analytical...

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• Rigorous numerics for critical orbits in the quadratic family

  Publication

  • A. Golmakani
  • C. E. Koudjinan
  • S. Luzzatto
  • P. Pilarczyk

  - CHAOS - Year 2020

  We develop algorithms and techniques to compute rigorous bounds for finite pieces of orbits of the critical points, for intervals of parameter values, in the quadratic family of one-dimensional maps fa(x)=a−x2. We illustrate the effectiveness of our approach by constructing a dynamically defined partition P of the parameter interval Ω=[1.4,2] into almost 4 million subintervals, for each of which we compute to high precision the...

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