Novel Slow-Fast Behaviour in an Oscillator Driven by a Frequency-Switching Force
Novel Slow-Fast Behaviour in an Oscillator Driven by a Frequency-Switching Force
When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemingly natural models of a switch in a simple periodically-forced harmonic oscillator, which disagree starkly in their predictions of its long time behaviour. …