Statistics of shadowing time in nonhyperbolic chaotic systems with unstable dimension variability

Younghae Do, Ying-Cheng Lai

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

Statistics of shadowing time in nonhyperbolic chaotic systems is discussed with unstable dimension variability. No true trajectory of reasonable length can be found to exist near any numerically generated trajectory, when the dimension of the unstable eigenspace changes along a trajectory in the invariant set. It is found that an important quantity characterizing the shadowability of numerical trajectories is the shadowing time. It measures for how long a trajectory remains valid.

Original languageEnglish (US)
Article number016213
Pages (from-to)162131-1621310
Number of pages1459180
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number1 2
StatePublished - Jan 1 2004

ASJC Scopus subject areas

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

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