Cell mapping methods have emerged as a robust framework for the global analysis of nonlinear dynamical systems. By discretising the continuous state space into a finite number of cells, researchers ...

We consider the system linearly coupled by nonlinear Schrödinger equations in ℝ3: $\{\begin{array}{c}-\mathrm{\Delta }{\mathrm{u}}_{\mathrm{j}}+{\mathrm{u ...

A spectral mapping theorem is proved that resolves a key problem in applying invariant manifold theorems to nonlinear Schrödinger type equations. The theorem is applied to the operator that arises as ...