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The microwave phonon stimulated emission (SE) has been experimentally andnumerically investigated in a nonautonomous microwave acoustic quantumgenerator, called also microwave phonon laser or phaser (see previous worksarXiv:cond-mat/0303188 ; arXiv:cond-mat/0402640 ; arXiv:nlin.CG/0703050)Phenomena of branching and long-time refractority (absence of the reaction onthe external pulses) for deterministic chaotic and regular processes of SE wereobserved in experiments with various levels of electromagnetic pumping. At thepumping level growth, the clearly depined increasing of the number ofcoexisting SE states has been observed both in real physical experiments and incomputer simulations. This confirms the analytical estimations of the branchingdensity in the phase space. The nature of the refractority of SE pulses isclosely connected with the pointed branching and reflects the crises of strangeattractors, i.e. their collisions with unstable periodic components of thehigher branches of SE states in the nonautonomous microwave phonon laser.

Nonlinear Dynamics of the Phonon Stimulated Emission in Microwave Solid-State Resonator of the Nonautonomous Phaser Generator