Analytical methods in differential systems and vector fields combine classical techniques with modern computational approaches to elucidate the intricate dynamics of nonlinear systems.

In the present paper we introduce eigenfunctions of the curl operator. The expansion of vector fields in terms of these eigenfunctions leads to a decomposition of such fields into three modes, one of ...

In this paper, the explicit expressions for the Jacobi vector fields on complex space forms will be used for calculating the matrix of the shape operator of tubes about geodesies on complex space ...