Experimental Evidence of Coherence Resonance in a Time-Delayed Bistable System

Arteaga, Mikel Arizaleta; Valencia, Miguel; Sciamanna, Marc; Thienpont, Hugo; López-Amo, Manuel; Panajotov, Krassimir

doi:10.1103/physrevlett.99.023903

Cited by 50 publications

(12 citation statements)

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“…Quite regular pulses come out at an optimal interval with = 0.11 ͑middle panel͒. The phenomenon is in close resemblance to CR induced by either external or intrinsic noise, [11][12][13][14] or by effective noise of fast deterministic dynamics. 20 Besides, the spatiotemporal excitations in the network are well synchronized, with the pulses fired almost simultaneously.…”

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confidence: 73%

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Coherence resonance induced by rewiring in complex networks

Jiang

2009

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We report a novel coherent excitation phenomenon in a heterogeneous network of coupled FitzHugh-Nagumo elements. It is demonstrated that dynamical rewiring in the network can play a constructive role to bring on coherent excitations. The coherence factor as the function of rewiring time interval represents a nontrivial phenomenon which is a fingerprint of coherence resonance. We call this resonant behavior caused by dynamical wiring changes the network-rewiring-induced coherence resonance. The mechanism can be understood by the effective noise played by the rewiring process.

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confidence: 73%

“…The behavior is an exceptional example of coherence resonance ͑CR͒. [11][12][13][14] CR is also called autonomous stochastic resonance because no external periodic signal is needed in contrary to the conventional stochastic resonance. This nontrivial phenomenon was recently demonstrated in small-world networks driven by spatially correlated noise.…”

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confidence: 99%

Coherence resonance induced by rewiring in complex networks

Jiang

2009

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…A noise-induced resonance of the time between pulses has not been observed when accounting only for spontaneous emission noise. Whether another external additive noise source (such as one added to the injection current) can bring the system to a coherence or stochastic resonance behavior [25,26] is an interesting question for future work.…”

Section: Discussionmentioning

confidence: 99%

Self-pulsations and excitability in optically injected quantum-dot lasers: Impact of the excited states and spontaneous emission noise

et al. 2010

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International audienceWe study the dynamics of an optically injected quantum-dot laser accounting for excited states. Mapping of the bifurcations in the plane frequency detuning vs. injection strength shows that the relaxation rate scales the regions of locking and single- and double-period solutions, while the capture rate has a minor effect. Within the regions of time-periodic solutions, close to the saddle-node bifurcation boundary, we identify subregions where the output signal resembles excitable pulses as a result of the bottleneck phenomenon. We show that such emission is determined mainly by fluctuations in the occupation of the excited states. The interpulse time follows an inverse square root scaling law as a function of the detuning. In a deterministic system the pulses are periodic regardless of the detuning, but in the presence of noise, close to the locking region, the interpulse time follows a positively skewed normal distribution. For a fixed frequency detuning, increasing the noise strength can shift the mean of the interpulse time distribution and make the pulsations more periodic

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“…In vertical-cavity surface-emitting lasers (VCSELs), timedelayed optical feedback or optical coupling can modify the intrinsic competition between orthogonal polarization modes and induce or suppress polarization switching [13][14][15][16][17][18]. The mode competition dynamics in the presence of time delay are moreover very sensitive to noise (spontaneous emission noise or external noise source), which not only may drive transitions between stable states but also may lead to constructive dynamical effects such as coherence resonance [19][20][21][22] and stochastic resonance [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Bifurcation to square-wave switching in orthogonally delay-coupled semiconductor lasers: Theory and experiment

Masoller

Sukow

Gavrielides³

et al. 2011

Phys. Rev. A

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We analyze the dynamics of two semiconductor lasers with so-called orthogonal time-delayed mutual coupling: the dominant TE (x) modes of each laser are rotated by 90• (therefore, TM polarization or y) before being coupled to the other laser. Although this laser system allows for steady-state emission in either one or in both polarization modes, it may also exhibit stable time-periodic dynamics including square waveforms. A theoretical mapping of the switching dynamics unveils the region in parameter space where one expects to observe long-term time-periodic mode switching. Detailed numerical simulations illustrate the role played by the coupling strength, the mode frequency detuning, or the mode gain to loss difference. We complement our theoretical study with several experiments and measurements. We present time series and intensity spectra associated with the characteristics of the square waves and other waveforms observed as a function of the strength of the delay coupling. The experimental observations are in very good agreement with the analysis and the numerical results.

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Experimental Evidence of Coherence Resonance in a Time-Delayed Bistable System

Cited by 50 publications

References 31 publications

Coherence resonance induced by rewiring in complex networks

Coherence resonance induced by rewiring in complex networks

Self-pulsations and excitability in optically injected quantum-dot lasers: Impact of the excited states and spontaneous emission noise

Bifurcation to square-wave switching in orthogonally delay-coupled semiconductor lasers: Theory and experiment

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