Unexpected behavior of nonautonomous linear dynamical systems in two dimensions

N. V. Krylov

Research output: Contribution to journalArticlepeer-review

Abstract

We show two examples of systems Żt= -natZ t in ℝ2 with at=at * ≥ 0 such that |zt| is strictly decreasing in time for any n but |zt| crossed right arrow sign 0 as n → ∞ .

Original languageEnglish (US)
Pages (from-to)73-84
Number of pages12
JournalJournal of Dynamics and Differential Equations
Volume17
Issue number1
DOIs
StatePublished - Jan 2005

Bibliographical note

Funding Information:
The author is sincerely grateful to G. Sell for useful comments and suggestions. The work was partially supported by NSF Grant DMS-0140405.

Keywords

  • Linear ODEs
  • Non autonomous systems

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