Soumen Sarkar

collaborators

2 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…

Darboux first integrals of Kolmogorov systems with invariant n-sphere

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

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

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