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 ...

This is a preview. Log in through your library . Abstract In the space of homegenous polynomial vector fields of degree two, those that project on Morse-Smale vector ...