We show the standard two-level continuous-time model of loss-modulated CO2 lasers to display the same regular network of self-similar stability islands known so far to be typically present only in discrete-time models based on mappings. Our results suggest that the two-parameter space of class B laser models and that of a certain class of discrete mappings could be isomorphic.
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http://dx.doi.org/10.1103/PhysRevLett.95.143905 | DOI Listing |
Phys Rev E Stat Nonlin Soft Matter Phys
July 2009
Laser and Plasma Technology Division, Bhabha Atomic Research Centre, Mumbai 400085, India.
Stochastic disturbances and spikes (sudden sharp fluctuations of any system parameter), commonly observed among natural and laboratory-scale systems, can perturb the multistable dynamics significantly and become a serious impediment when the device is designed for a certain dynamical behavior. We experimentally demonstrate that suitable periodic modulation of any system parameter may efficiently control such stochastic multistability related problems. The control mechanism is verified individually with two standard models (namely, an analog circuit of Lorenz equations and a cavity-loss modulated CO2 laser), against three externally introduced disturbing signals, (namely, white Gaussian noise, pink noise, and train of spikes).
View Article and Find Full Text PDFPhys Rev E Stat Nonlin Soft Matter Phys
December 2008
Laser and Plasma Technology Division, Bhabha Atomic Research Centre, Mumbai 400085, India.
In multistable regimes, noise can create "multistate hopping intermittency," i.e., intermittent transitions among coexisting stable attractors.
View Article and Find Full Text PDFPhys Rev Lett
September 2005
Instituto de Física, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil.
We show the standard two-level continuous-time model of loss-modulated CO2 lasers to display the same regular network of self-similar stability islands known so far to be typically present only in discrete-time models based on mappings. Our results suggest that the two-parameter space of class B laser models and that of a certain class of discrete mappings could be isomorphic.
View Article and Find Full Text PDFPhys Rev E Stat Nonlin Soft Matter Phys
January 2005
Departamento de Física, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil.
Recent methods for stabilizing systems like, e.g., loss-modulated CO2 lasers, involve inducing controlled monostability via slow parameter modulations.
View Article and Find Full Text PDFPhys Rev E Stat Nonlin Soft Matter Phys
July 2002
B. I. Stepanov Institute of Physics, National Academy of Science of Belarus, 220072 Minsk, Belarus.
Phase scaling relations for the onsets of both saddle-node bifurcations and boundary crises induced by resonant periodic perturbations at subharmonic frequencies are found in a period-doubled system from the results of numerical simulation. These phase dependences determine the domains of existence of induced attractors in (bifurcation parameter, perturbation phase) parameter space. The overlapping of these domains leads to the formation of zones with different numbers of coexisting attractors.
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