The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices BN Shashikanth, JE Marsden, JW Burdick, SD Kelly Physics of Fluids 14 (3), 1214-1227, 2002 | 139 | 2002 |
Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and point vortices: the case of arbitrary smooth cylinder shapes BN Shashikanth Regular and Chaotic Dynamics 10 (1), 1-14, 2005 | 56 | 2005 |
Optimal approach to and alignment with a rotating rigid body for capture Z Ma, O Ma, BN Shashikanth The Journal of the Astronautical Sciences 55 (4), 407-419, 2007 | 47 | 2007 |
Optimal control for spacecraft to rendezvous with a tumbling satellite in a close range Z Ma, O Ma, BN Shashikanth 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems …, 2006 | 42 | 2006 |
Vortex dynamics in R4 BN Shashikanth Journal of mathematical physics 53 (1), 2012 | 36 | 2012 |
Hamiltonian structure for a neutrally buoyant rigid body interacting with N vortex rings of arbitrary shape: the case of arbitrary smooth body shape BN Shashikanth, A Sheshmani, SD Kelly, JE Marsden Theoretical and Computational Fluid Dynamics 22, 37-64, 2008 | 36 | 2008 |
Vortex interaction with a moving sphere JJ Allen, Y Jouanne, BN Shashikanth Journal of Fluid Mechanics 587, 337-346, 2007 | 34 | 2007 |
Leapfrogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction BN Shashikanth, JE Marsden Fluid Dynamics Research 33 (4), 333-356, 2003 | 33 | 2003 |
Symmetric pairs of point vortices interacting with a neutrally buoyant two-dimensional circular cylinder BN Shashikanth Physics of Fluids 18 (12), 2006 | 28 | 2006 |
Dissipative N-point-vortex Models in the Plane BN Shashikanth Journal of nonlinear science 20, 81-103, 2010 | 10 | 2010 |
Hamiltonian structure and dynamics of a neutrally buoyant rigid sphere interacting with thin vortex rings BN Shashikanth, A Sheshmani, SD Kelly, M Wei Journal of Mathematical Fluid Mechanics 12 (3), 335-353, 2010 | 9 | 2010 |
On the interaction of a vortex pair with a freely moving cylinder D Hartmann, L Schneiders, W Schröder, B Shashikanth 40th Fluid Dynamics Conference and Exhibit, 4749, 2010 | 9 | 2010 |
Symmetry reduction and control of the dynamics of a 2D rigid circular cylinder and a point vortex: Vortex capture and scattering BN Shashikanth European journal of control 13 (6), 641-655, 2007 | 9 | 2007 |
Vortex motion and the geometric phase. Part I. Basic configurations and asymptotics BN Shashikanth, PK Newton Journal of Nonlinear Science 8, 183-214, 1998 | 9 | 1998 |
Dynamics and control of the system of a 2-D rigid circular cylinder and point vortices Z Ma, BN Shashikanth 2006 American Control Conference, 6 pp., 2006 | 6 | 2006 |
Reconstruction phases in the planar three-and four-vortex problems A Hernández-Garduño, BN Shashikanth Nonlinearity 31 (3), 783, 2018 | 5 | 2018 |
Geometric phases for corotating elliptical vortex patches BN Shashikanth, PK Newton Journal of Mathematical Physics 41 (12), 8148-8162, 2000 | 5 | 2000 |
Non-invasive determination of external forces in vortex-pair-cylinder interactions D Hartmann, W Schröder, BN Shashikanth Physics of Fluids 24 (6), 2012 | 4 | 2012 |
Vortex problems, rotating spiral structures, and the Hannay-Berry phase PK Newton, B Shashikanth ESAIM: Proceedings 1, 255-265, 1996 | 4 | 1996 |
Dynamically coupled rigid body-fluid flow systems BN Shashikanth Springer, 2021 | 3 | 2021 |