Nonlinear dynamics and chaos · Dynamical systems · Non-Euclidean geometry
Publications
Journal Articles
- Quantum three-rotor problem in the identity representation, G. S. Krishnaswami and H. Senapati, Phys. Rev. E, 111 (1), 014221 (2025). [DOI]
- Ergodicity, mixing and recurrence in the three rotor problem, G. S. Krishnaswami and H. Senapati, Chaos 30 (4), 043112 (2020) (Editor's pick). [DOI]
- Classical three rotor problem: periodic solutions, stability and chaos, G. S. Krishnaswami and H. Senapati, Chaos 29 (12), 123121 (2019) (Editor's pick, Featured article). [DOI]
- Curvature and geodesic instabilities in a geometrical approach to the planar three-body problem, G. S. Krishnaswami and H. Senapati, J. Math. Phys. 57, 102901 (2016) (Featured Article). [DOI]
Expository Articles
- An introduction to the classical three-body problem: From periodic solutions to instabilities and chaos, G. S. Krishnaswami and H. Senapati, Resonance 24, 87–114 (2019). [DOI]
Book Chapters
-
Three chapters in Eighteen Essays in Non-Euclidean Geometry,
Eds. V. Alberge and A. Papadopoulos, European Mathematical Society Publishing House, Zurich (2019):
[DOI]
- On a theorem of Lambert: Medians in spherical and hyperbolic geometries, pp. 57–65.
- Inscribing a triangle in a circle in spherical geometry, pp. 67–79.
- Monotonicity in spherical and hyperbolic triangles, pp. 81–91.