6 citations · 6 across the 3 of their papers we have counts for
4 papers
Some remarks on polynomial vector fields in $\RR^2$
Supriyo Jana, Soumen Sarkar
In this paper, we study planar polynomial vector fields admitting invariant circles. We characterize polynomial vector fields having concentric invariant circles, and we descri…
Darboux first integrals of Kolmogorov systems with invariant -sphere
Supriyo Jana, Soumen Sarkar
In this paper, we characterize all polynomial Kolmogorov vector fields for which the standard -sphere is invariant. We exhibit completely integrable Kolmogorov vector fields of…
Dynamics and integrability of polynomial vector fields on the -dimensional sphere
Supriyo Jana, Soumen Sarkar
In this paper, we characterize arbitrary polynomial vector fields on . We establish a necessary and sufficient condition for a degree one vector field on the odd-dimensional s…
Invariant circles and phase portraits of cubic vector fields on the sphere
Joji Benny, Supriyo Jana, Soumen Sarkar
In this paper, we characterize and study dynamical properties of cubic vector fields on the sphere . We start by…