Geodesic
1 : 3 Resonance is a possible cause of nonlinear panel flutter
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 7, pp. 1266-1279

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A nonlinear boundary value problem modeling oscillations of a plate in a supersonic gas flow is considered. Using the normal forms method, the method of integral manifolds for dynamical systems with infinite-dimensional phase space, and asymptotic methods combined with numerical techniques, it is shown that the 1 : 3 resonance of eigenfrequencies of the linearized boundary value problem can be a cause of subcritical bifurcations and hard excitation of oscillations. 
@article{ZVMMF_2011_51_7_a7,
     author = {A. N. Kulikov},
     title = {1 : 3 {Resonance} is a~possible cause of nonlinear panel flutter},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1266--1279},
     publisher = {mathdoc},
     volume = {51},
     number = {7},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a7/}
}
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A. N. Kulikov. 1 : 3 Resonance is a possible cause of nonlinear panel flutter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 7, pp. 1266-1279. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a7/