Abstract
<jats:p>The nature of nonlinear oscillations of an isotropic rectangular plate in a supersonic gas flow in the presence of both thermal and magnetic fields is studied. The study was carried out taking into account two types of nonlinearity: aerodynamic (quadratic and cubic) and geometric (cubic). It was established that due to aerodynamic nonlinearity, the relation A(ν) (where A is the amplitude of nonlinear oscillations, ν is the parameter characterizing the velocity of the flowing gas) is a multivalued function in certain ranges of velocity ν. This fact is depicted in the graphs presented in the text in the form of different branches. In these figures, the lower branches are most likely unstable. The existence of such ranges of variation of v is shown, where flutter-type oscillations cannot be excited. The combined effect of thermal and magnetic fields on the behavior of nonlinear oscillations is studied.</jats:p>