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 → ∞ .
Bibliographical noteFunding Information:
The author is sincerely grateful to G. Sell for useful comments and suggestions. The work was partially supported by NSF Grant DMS-0140405.
- Linear ODEs
- Non autonomous systems