Geodesic
Modelling of resonance phenomena at combustion in CTSR
Matematičeskoe modelirovanie, Tome 3 (1991) no. 7, pp. 3-9 
A. T. Lukyanov; P. G. Itskova; A. S. Bukharbayeva. Modelling of resonance phenomena at combustion in CTSR. Matematičeskoe modelirovanie, Tome 3 (1991) no. 7, pp. 3-9. http://geodesic.mathdoc.fr/item/MM_1991_3_7_a0/
@article{MM_1991_3_7_a0,
     author = {A. T. Lukyanov and P. G. Itskova and A. S. Bukharbayeva},
     title = {Modelling of resonance phenomena at combustion in {CTSR}},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--9},
     year = {1991},
     volume = {3},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1991_3_7_a0/}
}
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The influence of pulsed lazer radiation which is selectively absorbed by a buffer agent on a gas mixture combustion in a CSTR was studied in non – linear approximation. The relation between the resulting amplitude of system oscillations with the frequency and amplitude of an external action was found. Resonance phenomena were detected on a natural frequency and its multiple frequencies. It was shown, that in the vicinity of resonance at natural frequency the amplitude – frequency characteristic may be crisis – free or a hysteresis one, and the apmlitude of oscillations was proportional to the cube root of external action amplitude. Results of analytical consideration were corroborated by nymerical solution of the non – linear problem.