Normal forms for nonautonomous difference equations
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We extend Henry Poincaré's normal form theory for autonomous difference equations xκ+1 = f(xκ) to nonautonomous difference equations xκ+1 = fκ(xκ). Poincaré's nonresonance condition λj - Πi=1n λiqi ≠ 0 for eigenvalues is generalized to the new nonresonance condition λj ∩ Πi=1n λiqi = Ø for spectral intervals.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 1059-1073 |
| Number of pages | 15 |
| Journal | Computers and Mathematics with Applications |
| Volume | 45 |
| Issue number | 6-9 |
| Publication status | Published - Mar 2003 |
| Peer-reviewed | Yes |
| Externally published | Yes |
External IDs
| ORCID | /0000-0003-0967-6747/work/149795402 |
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Keywords
ASJC Scopus subject areas
Keywords
- Nonautonomous difference equations, Nonautonomous normal forms, Poincaré normal form theory, Resonance