Supercritical Characteristics of a Relaxation Oscillator

A relaxation oscillator can be described by two maps: one circle and one inverse circle. The order of map depends on the function form of the modulation signal . Supercritical behaviors of the oscillator were studied experimentally and numerically. Two scaling laws S( f) ∝ f^-δ and τ ∝ |f – f_c|^-γ were verified. Both the scaling exponents δ and γ₂ increase when the order is getting larger.