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

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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^…

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

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

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