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
136 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
55 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
40 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
32 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
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3 2021