Soumen Sarkar

activity

20232026

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

6 citations · 6 across the 3 of their papers we have counts for

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Showing 2026 · math.DSShow all

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math.DS2026

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 $m$ concentric invariant circles, and we descri…

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…

Some remarks on polynomial vector fields in $\RR^2$

Darboux first integrals of Kolmogorov systems with invariant n-sphere

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