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

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 the article fine resolution of the sheaf of germs of complex projective vector fields on a locally projective complex manifold M⁴ of complex dimension n = 2 is given. The local coordinate charts on ...