Joji Benny

most citedInvariant circles and phase portraits of cubic vector fields on the sphere

6 citations · 8 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2023★ 6 cited

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 $S^{2} = {(x, y, z) \in R^{3} ∣ x^{2} + y^{2} + z^{2} = 1}$ . We start by…

math.DS2022★ 2 cited

Invariant Hyperplane Sections of Vector Fields on the Product of Spheres

Joji Benny, Soumen Sarkar

Let $S_{p, q}$ be the hypersurface in $R^{p + q + 1}$ defined by the following: $$ S_{p,q} := \left\lbrace (x_1,\ldots,x_{p+1},x_{p+2},\ldots,x_{p+q+1}) \in \mathbb{R}^{p+q+1}…