Phase scaling properties of perturbation-induced multistability in a driven nonlinear system.
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. The numerical evidence was obtained on the basis of single-mode rate equations of a laser with parameters corresponding to a realistic loss-modulated CO2 laser.
Chizhevsky
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B. I. Stepanov Institute of Physics, National Academy of Science of Belarus, 220072 Minsk, Belarus. vnc@dragon.bas-net.by
Corbalán
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