Bifurcation gap in a hybrid optically bistable system
. Physical Review A, 26(6):3720-3722, 1982.
(5) A bistable system
can become stable anywhere, but it may require much practice to achieve stability in the mixed configuration, particularly for people who have been habilitated in one of the anchor registrations.
Goswami, "Annihilation of one of the coexisting attractors in a bistable system
," Physical Review Letters, vol.
Zhu, "Stochastic resonance driven by two different kinds of colored noise in a bistable system
," Physical Review E, vol.
They found that when an asymmetric bistable system
is driven by a signal-modulated noise, stochastic resonance appeared, in contrast to the additive noise, new characteristics emerge, and their results were in agreement with experiments.
We firstly review two early Peterson's works which consider the mESC switch between the pluripotent and the differentiated states a bistable system
; Nanog heterogeneity is not considered, but the basis for formalisms developed later by the same authors to recapitulate more complex dynamics are given.
When [r.sub.0] > 0, since the Duffing system is a bistable system
, which has two stable focus points and a saddle point, in the presence of the periodic driven force [r.sub.0] cos([[omega].sub.0]t), there is a critical threshold [A.sub.c] in the bistable system
: if 0 < [r.sub.0] < [A.sub.c], then the output response [x.sub.1](t) will produce local periodic motion near one steady attractor when the time is long enough.
The amplification mechanism of SR is described as follows: the energy of a particle in a bistable system
is initially too small to allow the particle to move across the potential well.
For example, Ray and Sengupta measured SR in underdamped bistable system
by the power spectrum , Xu et al.
Xu, "Stochastic resonance in an asymmetric bistable system
driven by correlated multiplicative and additive noise," Chaos, Solitons and Fractals, vol.
For examples, the proper local noise power can increase the signal-to-noise ratio of a noisy bistable system
and optimize the stochastic resonance of coupled systems, such as small-world and scale-free neuronal networks.
He, "Stochastic resonance of a sub-diffusive bistable system
driven by Levy noise based on the subordination process," Journal of Physics A, vol.