The generalized polynomial Moon–Rand system

The Moon–Rand systems, developed to model control flexible space structures, are systems of differential equations in R 3 of the form u = v , v = − u − u w , w = − λ w + f ( u , v ) . We give a partially positive answer to a recently conjecture for a special class of such systems, called the generalized polynomial Moon–Rand systems in the case when λ ∈ ( 0 , ∞ ) and f is either a homogeneous cubic, quartic, quintic or sextic polynomial.