ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

helical flows

Numerical study of dynamical system generated by CABC vector field

Purpose of this study is to construct a helical vector field and analyze the dynamical system generated by it. Classic example of such field is the ABC (Arnold–Beltrami–Childress) flow, which is equations stationary solution of the dynamics of ideal incompressible fluid. The article numerically studies the structure of the phase space of a dynamical system determined by the constructed vector field under various assumptions. Methods. When constructing a dynamic system, the approach proposed for helical fields from the class of CABC (Compressible ABC) flows was used.