Before revision:  These dynamical systems closely resemble a Hamiltonian system in  R ^{2n}, but with the canonical equation for one of the variables in each conjugate pair rescaled by a number called the Turing instability parameter.
After revision:  These dynamical systems closely resemble a Hamiltonian system in  \mathbb{R ^{2n}, but with the canonical equation for one of the variables in each conjugate pair rescaled by a number called the Turing instability parameter.