3 papers
nlin.CD2026
Pole-organized cusp catastrophes in locally nonlinear resonator networks
Kanchan Sarkar
A resonator with one localized cubic nonlinearity can acquire additional cusp pairs when it is coupled to an otherwise linear network. At first-harmonic order, the cusp locus is a…
nlin.CD2026
Linear Response Predicts Cusp-Pair Births in Networks with a Localized Cubic
Kanchan Sarkar
Linear response is cheap to measure; the bistability boundaries it organizes are not. For a passive network with one localized cubic, the driving-point receptance fixes the per…
nlin.CD2026
Fifth-Harmonic Feedback Controls the Existence of a Third-Harmonic Zero
Kanchan Sarkar
An exact zero of a generated harmonic needs two real cancellations; a damped oscillator's leading fundamental-source balance supplies one. Absorber loss leaves a phase deficit of f…