Hussain M Al-Qahtani

Strongly Nonlinear Responses in Coupled Duffing Oscillators: Homotopy-Enriched Multiple Scales and Branch-Resolved Continuation Benchmarking

First-order classical multiple scales (MMS) linearizes frequency detuning and discards a quadratic correction that grows away from resonance. Homotopy-enriched multiple scales (EMMS) uses the forcing-frequency carrier and retains the full squared-frequency mismatch. We derive cou...