12,000

We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK

93%

93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Stochastic phase portraits of a damped bistable...
View graph of relations

« Back

Stochastic phase portraits of a damped bistable oscillator driven by colored noise.

Research output: Contribution to journalJournal article

Published

Journal publication date06/1986
JournalPhysical Review A
Journal number6
Volume33
Number of pages3
Pages4459-4461
Original languageEnglish

Abstract

We present measurements of the stationary, joint statistical densities of velocity and displacement in a three-dimensional system: the damped oscillator with a bistable potential driven by additive, colored noise. Approximate Fokker-Planck theories of such "higher-dimensional" systems are assessed and compared to the measurements. Because of limitations inherent in all present theories and generally available numerical techniques, analog simulators appear to offer the only effective, high-resolution means for obtaining the joint probability densities of d = 3 systems.