Abstract
The distributions, in parameter space, of subcritical Hopf bifurcations and the various attractors of time-dependent motions of optical bistable systems are investigated systematically. The main emphasis is placed on the influence of the variations of the control parameters on the distributions. We have observed the tristability of large-amplitude regular or chaotic motions, periodic pulsations, and the stationary state for the parameters where no instability of the stationary solution exists at all over the complete range of the external field. The problem of how to find the various attractors and how to reveal chaotic motions by adjusting the control parameters is discussed according to the numerical results.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3975-3984 |
| Number of pages | 10 |
| Journal | Physical Review A |
| Volume | 41 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1990 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
Cite this
Distribution of subcritical Hopf bifurcations and regular and chaotic attractors in optical bistable systems. / Gang, Hu; Ning, Cun-Zheng; Haken, H.
In: Physical Review A, Vol. 41, No. 7, 1990, p. 3975-3984.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Distribution of subcritical Hopf bifurcations and regular and chaotic attractors in optical bistable systems
AU - Gang, Hu
AU - Ning, Cun-Zheng
AU - Haken, H.
PY - 1990
Y1 - 1990
N2 - The distributions, in parameter space, of subcritical Hopf bifurcations and the various attractors of time-dependent motions of optical bistable systems are investigated systematically. The main emphasis is placed on the influence of the variations of the control parameters on the distributions. We have observed the tristability of large-amplitude regular or chaotic motions, periodic pulsations, and the stationary state for the parameters where no instability of the stationary solution exists at all over the complete range of the external field. The problem of how to find the various attractors and how to reveal chaotic motions by adjusting the control parameters is discussed according to the numerical results.
AB - The distributions, in parameter space, of subcritical Hopf bifurcations and the various attractors of time-dependent motions of optical bistable systems are investigated systematically. The main emphasis is placed on the influence of the variations of the control parameters on the distributions. We have observed the tristability of large-amplitude regular or chaotic motions, periodic pulsations, and the stationary state for the parameters where no instability of the stationary solution exists at all over the complete range of the external field. The problem of how to find the various attractors and how to reveal chaotic motions by adjusting the control parameters is discussed according to the numerical results.
UR - http://www.scopus.com/inward/record.url?scp=25944477768&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=25944477768&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.41.3975
DO - 10.1103/PhysRevA.41.3975
M3 - Article
AN - SCOPUS:25944477768
VL - 41
SP - 3975
EP - 3984
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 7
ER -