Abstract
This paper provides an answer if the nonuniform behavior can destroy the structural stability of nonlinear systems. We show that if the linear system (x)over dot(t) = A(t)x(t) admits a nonuniform exponential dichotomy, then the perturbed nonautonomous system (x)over dot(t) = A(t)x(t) + f (t, x) is structurally stable under suitable conditions.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 5627-5637 |
| Number of pages | 11 |
| Journal | Aims Mathematics |
| Volume | 5 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Feb 2020 |
Keywords
- Exponential dichotomy
- Nonautonomous
- Nonlinear system
- Stability
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Bai, YZ,O'Regan, D,Xia, YH,Yuan, XQ
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