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Stochastic resonance as crisis

Physical Review E, 1994
Based on approximate methods of nonlinear oscillations and experimental studies, we show the evidence that stochastic resonance in Duffing's equation can be considered as an example of crisis.
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Remarks on stochastic resonance

Physical Review A, 1989
A recent and interesting experimental paper [B. McNamara, K. Wiesenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988)] has refocused attention on the problem of stochastic resonance by presenting measurements of the singal-to-noise ratio (SNR) of a noise driven, periodically modulated bistable ring laser.
, Debnath, , Zhou, , Moss
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Stochastic resonance on a circle

Physical Review Letters, 1994
We describe a new realization of stochastic resonance, applicable to a broad class of systems, based on an underlying excitable dynamics with deterministic reinjection. A simple but general theory of such ``single-trigger'' systems is compared with analog simulations of the Fitzhugh-Nagumo model, as well as experimental data obtained from stimulated ...
, Wiesenfeld   +4 more
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Stochastic resonance in the brain

Systems and Computers in Japan, 2004
AbstractThis paper investigates the existence of stochastic resonance (SR) in the human brain, based on the noise effect of the α‐wave. In order to show clear evidence of the SR phenomenon in the central nervous system, the measurement was carried out under the following conditions; the periodic and noisy light stimuli are respectively applied to the ...
Toshio Mori, Shoichi Kai
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Doubly Stochastic Resonance

Physical Review Letters, 2000
We report the effect of doubly stochastic resonance which appears in nonlinear extended systems if the influence of noise is twofold: A multiplicative noise induces bimodality of the mean field of the coupled network and an independent additive noise governs the dynamic behavior in response to small periodic driving.
Zaikin, Alexei A.   +2 more
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Stochastic Resonance and Crises

Physical Review Letters, 1993
Stochastic resonance is a phenomenon seen in multistable systems where the addition of noise to the system can amplify small periodic signals. We show in an experiment with a circuit that many of the concepts used to describe crises may also be used to describe stochastic resonance.
, Carroll, , Pecora
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Stochastic resonance in paramagnetic resonance systems

Journal of Statistical Physics, 1993
Experimental evidence of the stochastic resonance phenomenon in an electron paramagnetic resonance (EPR) system is reported. The amplitude and phase response of the EPR system operating in bistable conditions are measured for increasing values of the noise intensity.
GAMMAITONI, Luca   +3 more
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Stochastic Resonance as aBona FideResonance

Physical Review Letters, 1995
Stochastic resonance in a bistable potential is fully characterized as a synchronization effect of the hopping mechanism induced by the external periodic bias. Most notably, synchronization is shown to attain a maximum by increasing the forcing frequency close to the relevant switching rate, thus revealing a bona fide resonant process.
GAMMAITONI, Luca   +2 more
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Stochastically Perturbed Resonance

SIAM Journal on Applied Mathematics, 1981
We analyze the motion of a periodically forced oscillator whose natural frequency is the superposition of a slowly varying component and a small stochastic perturbation. When the slowly varying component of natural frequency passes through the value corresponding to the forcing, there is resonance.
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STOCHASTIC RESONANCE IN CHUA'S CIRCUIT

International Journal of Bifurcation and Chaos, 1992
In this paper, we report numerical observations of the stochastic resonance (SR) phenomenon in a bistable chaotic electronic circuit (namely, Chua’s circuit) driven simultaneously by noise and a sinusoidal signal. It is shown that the noise-induced “chaos-chaos” type intermittency is a physical mechanism of the SR-phenomenon in chaotic systems.
Anishchenko, V. S.   +2 more
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