Abstract
The condition on (Formula presented.) -maps of (Formula presented.) into itself is the assumption that their Jacobian eigenvalues are all equal to one (unipotent maps). A unipotent (Formula presented.) -map (Formula presented.) is equivalent to the translation (Formula presented.) if the map is fixed-point-free. It provides a one parameter family of (Formula presented.) -maps (Formula presented.) such that (Formula presented.) is linearly conjugated to G, (Formula presented.) has a global attractor for (Formula presented.) and a global repeller for (Formula presented.).
| Original language | English |
|---|---|
| Pages (from-to) | 578-589 |
| Number of pages | 12 |
| Journal | Journal of Difference Equations and Applications |
| Volume | 28 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2022 |
Keywords
- 14R15
- 26B10
- 37C15
- 37E30
- Discrete Markus–Yamabe problem
- global dynamics
- Jacobian conjecture
- Unipotent maps
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