Application of Chaotic Dynamics to Stochastic Resonance.
Application of Chaotic Dynamics to Stochastic Resonance.
(150 K)
Franaszek, M.; Simiu, E.
Probabilistic Mechanics and Structural Reliability.
Proceedings of the Seventh (7th) Specialty Conference.
American Society of Civil Engineers. August 7-9, 1996,
Worcester, MA, American Society of Civil Engineers, New
York, NY, Frangopol, D. M.; Grigoriu, M. D.,
Editor(s)(s), 86-89 pp, 1996.
Sponsor:
Office of Naval Research, Washington, DC
Keywords:
building technology; chaotic dynamics; Melnikov
processes; signal-to-noise ratio; stochastic resonance;
structural engineering
Abstract:
For a class of systems with a periodic signal and noise,
the improvement of the signal to noise ratio (SNR)
achieved by increasing the noise intensity is referred
to as stochastic resonance (SR). We show that, for a
class of multistable systems, a chotic dynamics approach
to SR allows the assessment of the effect of the
spectral density of the noise on the SNR. Using this
approach, we also show that, for certain systems, the
SNR can be improved more effectively by adding a
harmonic excitation than by increasing the noise
intensity. The latter result may be used to develop a
practical nonlinear transduction device for enhancing
SNR.
Building and Fire Research Laboratory
National Institute of Standards and Technology
Gaithersburg, MD 20899