Transient probability in basins of noise influenced responses of mono and coupled Duffing oscillators

Duffing systems excited by harmonic excitations and subjected to noise additions are considered, it is examined whether the addition can be used steer response from one stable mode another. To help with this examination, authors propose a methodology for estimating probability that short duration Gaussian white generate or destroy modes of single nonlinear oscillator as well set coupled oscillators. This estimation done using path integral method find transient joint density function at discrete points in time then integrating over basins attraction responses deterministic system. Results provided discussed two oscillators forced near resonance excitation addition. work form basis carrying out influenced energy movement localization arrays have relevance applications sensors, harvesting devices, more.