Geodesic
On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems
Modelirovanie i analiz informacionnyh sistem, Tome 21 (2014) no. 1, pp. 32-44

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Considered are so-called finite-dimensional flutter systems, i.e. systems of ordinary differential equations, arising from Galerkin approximations of certain boundary value problems of aeroelasticity theory as well as from a number of radiophysics applications. We study small oscillations of these equations in case of $1:3$ resonance. By combining analytical and numerical methods, it is concluded that the mentioned resonance can cause a hard excitation of oscillations. Namely, for flutter systems shown is the possibility of coexistence, along with the stable zero state, of stable invariant tori of arbitrary finite dimension as well as chaotic attractors.
Keywords: nonlinear flutter systems, parametric external impact
Mots-clés : hard excitation of oscillations, invariant torus, chaos. 
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     author = {S. D. Glyzin and A. Yu. Kolesov and N. Kh. Rozov},
     title = {On {One} {Means} of {Hard} {Excitation} of {Oscillations} in {Nonlinear} {Flutter} {Systems}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
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     publisher = {mathdoc},
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     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2014_21_1_a1/}
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems. Modelirovanie i analiz informacionnyh sistem, Tome 21 (2014) no. 1, pp. 32-44. http://geodesic.mathdoc.fr/item/MAIS_2014_21_1_a1/