TY - JOUR
T1 - Characteristic relations of type-I intermittency in the presence of noise
AU - Kye, Won Ho
AU - Kim, Chil Min
PY - 2000
Y1 - 2000
N2 - Near the point of tangent bifurcation, the scaling properties of the laminar length of type-I intermittency are investigated in the presence of noise. Based on analytic and numerical studies, we show that the scaling relation of the laminar length is dramatically deformed from [Formula Presented] for [Formula Presented] to [Formula Presented] for [Formula Presented] as [Formula Presented] passes the bifurcation point [Formula Presented] The results explain why two coupled Rössler oscillators exhibit deformation of the scaling relation of the synchronous length in the nearly synchronous regime.
AB - Near the point of tangent bifurcation, the scaling properties of the laminar length of type-I intermittency are investigated in the presence of noise. Based on analytic and numerical studies, we show that the scaling relation of the laminar length is dramatically deformed from [Formula Presented] for [Formula Presented] to [Formula Presented] for [Formula Presented] as [Formula Presented] passes the bifurcation point [Formula Presented] The results explain why two coupled Rössler oscillators exhibit deformation of the scaling relation of the synchronous length in the nearly synchronous regime.
UR - https://www.scopus.com/pages/publications/0034315475
U2 - 10.1103/PhysRevE.62.6304
DO - 10.1103/PhysRevE.62.6304
M3 - Article
AN - SCOPUS:0034315475
SN - 1063-651X
VL - 62
SP - 6304
EP - 6307
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
ER -