Supriyo Jana

activity

20232026

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

6 citations · 7 across the 5 of their papers we have counts for

collaborators

5 papers

math.DS2026

Darboux first integrals of Kolmogorov systems with invariant $n$ -sphere

Supriyo Jana, Soumen Sarkar

In this paper, we characterize all polynomial Kolmogorov vector fields for which the standard $n$ -sphere is invariant. We exhibit completely integrable Kolmogorov vector fields of…

math.DS2024

Dynamics and integrability of polynomial vector fields on the $n$ -dimensional sphere

Supriyo Jana, Soumen Sarkar

In this paper, we characterize arbitrary polynomial vector fields on $S^{n}$ . We establish a necessary and sufficient condition for a degree one vector field on the odd-dimensional s…

math.DS2024★ 1 cited

Characterization and dynamics of certain classes of polynomial vector fields on the torus

Supriyo Jana

In this paper, we classify all polynomial vector fields in $R^{3}$ of degree up to three such that their flow makes the torus $$\mathbb{T}^2=\{(x,y,z)\in \mathbb{R}^3:(x^2+y…

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.DS2023

Quadratic, Homogeneous and Kolmogorov vector fields on $S^{1} \times S^{2}$ and $S^{2} \times S^{1}$

Supriyo Jana, Soumen Sarkar

In this paper, we consider the following two algebraic hypersurfaces $S^{1} \times S^{2} = {(x_{1}, x_{2}, x_{3}, x_{4}) \in R^{4} : (x_{1}^{2} + x_{2}^{2} - a^{2})^{2} + x_{3}^{2} + x_{4}^{2} - 1 = 0; a > 1}$ and $$S^…

Darboux first integrals of Kolmogorov systems with invariant n-sphere

Dynamics and integrability of polynomial vector fields on the n-dimensional sphere

Characterization and dynamics of certain classes of polynomial vector fields on the torus

Invariant circles and phase portraits of cubic vector fields on the sphere

Quadratic, Homogeneous and Kolmogorov vector fields on S1×S2 and S2×S1

Darboux first integrals of Kolmogorov systems with invariant $n$ -sphere

Dynamics and integrability of polynomial vector fields on the $n$ -dimensional sphere

Quadratic, Homogeneous and Kolmogorov vector fields on $S^{1} \times S^{2}$ and $S^{2} \times S^{1}$