First-harmonic approximation in nonlinear chirped-driven oscillators

Raam Uzdin, Lazar Friedland, Omri Gat

Research output: Contribution to journalArticlepeer-review


Nonlinear classical oscillators can be excited to high energies by a weak driving field provided the drive frequency is properly chirped. This process is known as autoresonance (AR). We find that for a large class of oscillators, it is sufficient to consider only the first harmonic of the motion when studying AR, even when the dynamics is highly nonlinear. The first harmonic approximation is also used to relate AR in an asymmetric potential to AR in a "frequency equivalent" symmetric potential and to study the autoresonance breakdown phenomenon.

Original languageAmerican English
Article number012902
JournalPhysical Review E
Issue number1
StatePublished - 6 Jan 2014


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