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Properties of the attractor in the problem of the nonlinear oscillations of an infinite panel

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Abstract

In the problem of the nonlinear oscillations of an infinite panel in a supersonic gas flow, the existence of a maximal attractor and the finiteness of its fractal dimension are proved. The dimension is estimated from above in terms of the parameters of the problem. Cases are indicated when the attractor has a regular structure.

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Authors
  1. I. D. Chueshov
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Additional information

Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 50, pp. 108–115, 1988.

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Chueshov, I.D. Properties of the attractor in the problem of the nonlinear oscillations of an infinite panel. J Math Sci 49, 1314–1319 (1990). https://doi.org/10.1007/BF02209181

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  • DOI: https://doi.org/10.1007/BF02209181

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