Rotating class of parametric resonance processes in coupled oscillators

We single out and elucidate basic features of strongly coupled parametric o scillators as opposed by symmetry to the type reducible to uncoupled Mathie u equations. The strongly coupled type is essential to the oscillations and waves in rotating structures and chiral systems. It exhibits only the main parametric resonance, no higher-order ones. As well, le relaxation-fluctua tion behavior is unusual, characterized by a negative-energy oscillation mo de that is, nonetheless, stable so the Gibbs statistics lose its force. The models presented are exactly solvable. (C) 2001 Elsevier Science B.V. All rights reserved.