Experimental control of nonlinear dynamics by slow parametric modulation

Pisarchik, Alexander N.; Chizhevsky, V. N.; Corbalán, R.; Vilaseca, R.

doi:10.1103/physreve.55.2455

Cited by 32 publications

(14 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently this technique has been also applied for stabilizing periodic orbits in a single mode CO laser with modulated losses [146]. The authors applied a slow nonresonant (or near-resonant) parametric modulation to the cavity detuning.…”

Section: Nonfeedback Methodsmentioning

confidence: 99%

The control of chaos: theory and applications

et al. 2000

View full text Add to dashboard Cite

Section: Nonfeedback Methodsmentioning

confidence: 99%

The control of chaos: theory and applications

et al. 2000

View full text Add to dashboard Cite

“…2o and 2p, respectively. A similar condition for the frequency of the control modulation was experimentally derived in another context, such as the control and suppression of the chaotic oscillations of a loss-modulated CO 2 laser [18]. A relevant difference here is that the signals remain chaotic in the collective PS state, that is, the perturbation does not change the chaotic high dimensional nature of the dynamics, but only determines the hooking of the phases of the chaotic signals.…”

Section: Experimental Phase Synchronization Of a Chaotic Convective Flowmentioning

confidence: 58%

Experimental Phase Synchronization of a Chaotic Convective Flow

et al. 2000

View full text Add to dashboard Cite

We report experimental evidence of phase synchronization of high dimensional chaotic oscillators in a laboratory experiment. The experiment consists of a thermocapillary driven convective cell in a time dependent chaotic regime. The synchronized states emerge as a consequence of a localized temperature perturbation to the heater. The transition to phase synchronization is studied as a function of the external perturbations. The existence and stability conditions for this phenomenon are discussed.

show abstract

“…Since in nonlinear systems the chaotic behavior can often be suppressed by a weak periodic modulation of a control parameter [27][28][29][30][31], a main objective of our work is to investigate if rogue waves can also be controlled via a small periodic perturbation. Another relevant open question is the influence of noise.…”

Section: Introductionmentioning

confidence: 99%

Controlling the likelihood of rogue waves in an optically injected semiconductor laser via direct current modulation

et al. 2014

View full text Add to dashboard Cite

Extreme and rare events are nowadays the object of intensive research. Rogue waves are extreme waves that appear suddenly in many natural systems, even in apparently calm situations. Here we study numerically the rogue wave dynamics in an optically injected semiconductor laser with external periodic forcing that is implemented via direct modulation of the laser pump current. In the region of optical injection parameters where the laser intensity is chaotic and occasional ultrahigh pulses occur, our aim is to control the system by applying a weak modulation. We find that for an adequate range of frequency and amplitude parameters, the modulation can completely suppress the extreme pulses. We also show that the interplay between modulation and an external source of noise can significantly modify their probability of occurrence. These results can motivate a range of experimental and theoretical investigations in other natural systems.

show abstract

Experimental control of nonlinear dynamics by slow parametric modulation

Cited by 32 publications

References 35 publications

The control of chaos: theory and applications

The control of chaos: theory and applications

Experimental Phase Synchronization of a Chaotic Convective Flow

Controlling the likelihood of rogue waves in an optically injected semiconductor laser via direct current modulation

Contact Info

Product

Resources

About