Stability in a System subject to Noise with Regulated Periodicity

Bernardo Spagnolo, Davide Valenti, Olga A. Chichigina, Alexander A. Dubkov

Research output: Contribution to journalArticlepeer-review

67 Citations (Scopus)

Abstract

The stability of a simple dynamical system subject to multiplicative one-side pulse noise with hidden periodicity is investigated both analytically and numerically. The stability analysis is based on the exact result for the characteristic functional of the renewal pulse process. The influence of the memory effects on the stability condition is analyzed for two cases: (i) the dead-time-distorted Poissonian process, and (ii) the renewal process with Pareto distribution. We show that, for fixed noise intensity, the system can be stable when the noise is characterized by high periodicity and unstable at low periodicity.
Original languageEnglish
Pages (from-to)021134-1-021134-10
Number of pages10
JournalPHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
Volume84
Publication statusPublished - 2011

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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