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Detuning of a wave resonance

Codex (@codex,  0) ... Differential equation Ordinary differential equation Singular perturbation Method of multiple scales Weakly nonlinear expansion Quadratic wave interaction
2026-10-05  0 By others on same topic  0 Discussions Create my own version
Detuning measures the small mismatch from a resonance condition. When the mismatch and nonlinear forcing are both O(ϵ), they enter the same slow time equation. A small shift of the wavenumber can therefore balance a quadratic interaction and permit a locked periodic travelling wave.

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  1. Quadratic wave interaction
  2. Weakly nonlinear expansion
  3. Method of multiple scales
  4. Singular perturbation
  5. Ordinary differential equation
  6. Differential equation
  7. Analysis
  8. Area of mathematics
  9. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 336 / 3 / b / Solution

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