Journal Articles [ MathSciNet ]

  1. S. Jana and J. Llibre. "$n$-dimensional Lotka--Volterra systems with a Darboux invariant." Nonlinear Analysis: Real World Applications, 94 (2027), Paper No. 104699. DOI

  2. S. Jana and S. Sarkar. "Darboux first integrals of Kolmogorov systems with invariant $n$-sphere." Nonlinear Analysis: Real World Applications, 93 (2027), Paper No. 104671. DOI

  3. S. Jana and S. Sarkar. "Dynamics and integrability of polynomial vector fields on the $n$-dimensional sphere." Journal of Differential Equations, 435 (2025), Paper No. 113253, 23 pp. DOI

  4. S. Jana and S. Sarkar. "Quadratic, homogeneous, and Kolmogorov vector fields on $S^1\times S^2$ and $S^2 \times S^1$." Journal of Differential Equations, 424 (2025), 30--64. DOI

  5. S. Jana. "Characterization and dynamics of certain classes of polynomial vector fields on the torus." Journal of Mathematical Analysis and Applications, 542 (2025), no.~1, Paper No. 128875, 18 pp. DOI

  6. J. Benny, S. Jana and S. Sarkar. "Invariant circles and phase portraits of cubic vector fields on the sphere." Qualitative Theory of Dynamical Systems, 23 (2024), no.~3, Paper No. 121, 23 pp. DOI

Preprints

  1. S. Das, S. Jana and S. Sarkar. "Simplest nonlinear vector fields on the hyperbolic paraboloid and their bifurcations." Abstract