Normal forms for nonautonomous differential equations
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We extend Henry Poincarés normal form theory for autonomous differential equations x = f(x) to nonautonomous differential equations ̇x = f(t, x). Poincarés nonresonance condition nonresonance condition λj∩ ∑ni=1ℓiλi =∅ for spectral intervals.
Details
| Original language | English |
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| Pages (from-to) | 541-573 |
| Number of pages | 33 |
| Journal | Journal of differential equations |
| Volume | 178 |
| Issue number | 2 |
| Publication status | Published - 20 Jan 2002 |
| Peer-reviewed | Yes |
| Externally published | Yes |
External IDs
| ORCID | /0000-0003-0967-6747/work/213148694 |
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Keywords
ASJC Scopus subject areas
Keywords
- Carathéodory type, Nonautonomous, Normal forms, Resonance