Research output: Contribution to journal › Article › peer-review
A system of differential equations is considered for which the origin is an asymptotically stable equilibrium point and the Taylor expansion in a neighborhood of this point has no linear terms. Under the assumption that the logarithmic norm of the Jacobian matrix is negative definite, it is proved that this system is locally C1 equivalent to any of its perturbations of sufficiently high order of vanishing.
Original language | English |
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Pages (from-to) | 9-17 |
Number of pages | 9 |
Journal | Vestnik St. Petersburg University: Mathematics |
Volume | 48 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2015 |
ID: 38921648