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Title: Detecting the onset of bifurcations and their precursors from noisy data

Abstract

We study the problem of the detection of noise-induced precursors of periodic motion instabilities in stochastic dynamical systems. In particular, we concentrate on the period-doubling bifurcation. We have developed a statistical method to detect the onset of bifurcations and their precursors based on the previously established topological recurrence technique. (c) 2000 The American Physical Society.

Authors:
 [1];  [2];  [1];  [1];  [1]
  1. Center for Neurodynamics, University of Missouri at St. Louis, St. Louis, Missouri 63121 (United States)
  2. (KTH), Stockholm, (Sweden)
Publication Date:
OSTI Identifier:
20216388
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 61; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DYNAMICS; STOCHASTIC PROCESSES; BIFURCATION; NOISE; INSTABILITY; THEORETICAL DATA

Citation Formats

Omberg, Larsson, Royal Institute of Technology, Dolan, Kevin, Neiman, Alexander, and Moss, Frank. Detecting the onset of bifurcations and their precursors from noisy data. United States: N. p., 2000. Web. doi:10.1103/PhysRevE.61.4848.
Omberg, Larsson, Royal Institute of Technology, Dolan, Kevin, Neiman, Alexander, & Moss, Frank. Detecting the onset of bifurcations and their precursors from noisy data. United States. doi:10.1103/PhysRevE.61.4848.
Omberg, Larsson, Royal Institute of Technology, Dolan, Kevin, Neiman, Alexander, and Moss, Frank. Mon . "Detecting the onset of bifurcations and their precursors from noisy data". United States. doi:10.1103/PhysRevE.61.4848.
@article{osti_20216388,
title = {Detecting the onset of bifurcations and their precursors from noisy data},
author = {Omberg, Larsson and Royal Institute of Technology and Dolan, Kevin and Neiman, Alexander and Moss, Frank},
abstractNote = {We study the problem of the detection of noise-induced precursors of periodic motion instabilities in stochastic dynamical systems. In particular, we concentrate on the period-doubling bifurcation. We have developed a statistical method to detect the onset of bifurcations and their precursors based on the previously established topological recurrence technique. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevE.61.4848},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
issn = {1063-651X},
number = 5,
volume = 61,
place = {United States},
year = {2000},
month = {5}
}