Before revision:  The Turing instability parameter therefore measures the obstruction preventing a TCFL from being Hamiltonian where the Turing instability parameter equals one. To generalise TCFLs to symplectic manifolds in this paper we introduce and study the properties of deformed Hamiltonian vector fields on Lagrangian fibrations.
After revision:  To generalise these dynamical systems to symplectic manifolds in this paper we introduce and study the properties of deformed Hamiltonian vector fields on Lagrangian fibrations.