Analysis of a model forced oscillator and abstract Duhamel sum shows that detunings Δ_n ~ c n^{-p} and couplings B_n ~ b n^{-κ} yield accumulated growth t^{1-α} with α=(κ-1)/p, appearing in quartic Klein-Gordon terms and giving a conditional leading correction for the full PDE.
Arnold, Small denominators and problems of stability of motion in classical and celestial mechanics,Russian Mathematical Surveys, 18(6), 85–191, 1963
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Small Denominators and Subresonant Accumulation in Weakly Nonlinear Dispersive Dynamics
Analysis of a model forced oscillator and abstract Duhamel sum shows that detunings Δ_n ~ c n^{-p} and couplings B_n ~ b n^{-κ} yield accumulated growth t^{1-α} with α=(κ-1)/p, appearing in quartic Klein-Gordon terms and giving a conditional leading correction for the full PDE.