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 ...
We introduce a principal support vector machine (PSVM) approach that can be used for both linear and nonlinear sufficient dimension reduction. The basic idea is to divide the response variables into ...