TY - JOUR
T1 - Coherence resonance at noisy precursors of bifurcations in nonlinear dynamical systems
AU - Neiman, Alexander
AU - Saparin, Peter I.
AU - Stone, Lewi
PY - 1997
Y1 - 1997
N2 - A general mechanism of coherence resonance that occurs in noisy dynamical systems close to the onset of bifurcation is demonstrated through examples of period-doubling and torus-birth bifurcations. Near the bifurcation of a periodic orbit, noise produces the characteristic peaks of “noisy precursors” in the power spectrum. The signal-to-noise ratio evaluated at these peaks is maximal for a certain optimal noise intensity in a manner that resembles a stochastic resonance.
AB - A general mechanism of coherence resonance that occurs in noisy dynamical systems close to the onset of bifurcation is demonstrated through examples of period-doubling and torus-birth bifurcations. Near the bifurcation of a periodic orbit, noise produces the characteristic peaks of “noisy precursors” in the power spectrum. The signal-to-noise ratio evaluated at these peaks is maximal for a certain optimal noise intensity in a manner that resembles a stochastic resonance.
UR - http://www.scopus.com/inward/record.url?scp=0001556894&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.56.270
DO - 10.1103/PhysRevE.56.270
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AN - SCOPUS:0001556894
SN - 1063-651X
VL - 56
SP - 270
EP - 273
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 1
ER -