Publications
Research output
Selected journal articles, manuscripts, and doctoral work in dynamical systems, geometric mechanics, and vortex dynamics.
2026
Communications in Nonlinear Science and Numerical Simulation · 163 · 110428
Phase portraits and the bifurcation set for the three-vortex interaction system
Atul Anurag and Roy H. Goodman
A global, singularity-free reduction of the three-vortex problem that organizes phase portraits and the bifurcation set across circulation regimes.
2024
Research article
Canonical reduction for vortex-dipole dynamics
Atul Anurag and collaborators
A geometric approach to reduced dynamics, invariant structures, and qualitative behavior in vortex-dipole models.
2025
Ph.D. Dissertation · New Jersey Institute of Technology
Doctoral dissertation
Research on geometric reduction, Hamiltonian dynamics, and vortex systems.