Publications

Journal Articles

Darboux first integrals of Kolmogorov systems with invariant \(n\)-sphere. (With Soumen Sarkar)
Nonlinear Analysis: Real World Applications (Accepted)
Dynamics and integrability of polynomial vector fields on the \(n\)-dimensional sphere. (With Soumen Sarkar) [DOI]
Journal of Differential Equations, 435 (2025), 113253.
Quadratic, homogeneous, and Kolmogorov vector fields on \(S^1\times S^2\) and \(S^2\times S^1\). (With Soumen Sarkar) [DOI]
Journal of Differential Equations, 424 (2025), 30–64.
Characterization and dynamics of certain classes of polynomial vector fields on the torus. [DOI]
Journal of Mathematical Analysis and Applications, 542 (2025), no. 1, Paper No. 128875.
Invariant circles and phase portraits of cubic vector fields on the sphere. (With Joji Benny and Soumen Sarkar) [DOI]
Qualitative Theory of Dynamical Systems, 23 (2024), no. 3, Paper No. 121.

Preprints

Simplest nonlinear vector fields on the hyperbolic paraboloid and their bifurcations. (With Samriddha Das and Soumen Sarkar) [Abstract]
\(n\)-dimensional Lotka--Volterra systems with a Darboux invariant. (With Jaume Llibre) [Abstract]