Piyush Grover Current Position: Research Scientist, Mitsubishi Electric Research Labs EducationPh.D. Engineering Science and Mechanics , Virginia Tech, 2010. Adviser: Shane RossThesis B.Tech Mechanical Engineering, Indian Institute of Technology , Guwahati, 2005 ResearchMost nonlinear systems, both those found in nature and engineering ones, have some structure, which is not readily discernable by brute-force simulations. My research focus is on combining techniques from dynamical systems theory, statistical methods and topology to extract and exploit this structure. The two systems considered are the restricted n-body problem, and mixing & topological chaos in fluid flow.Presentations and PublicationsFluid Mixing and Topological chaos1). Characterizing changes in topological entropy via break up of almost-invariant sets (P. Grover, S.D. Ross, M.R. Stremler and P. Kumar) American Physical Society, 63rd Annual DFD meeting, 2010 2). Topological chaos, braiding and break-up of almost-cyclic sets. (P. Grover, S.D. Ross, M.R. Stremler and P. Kumar)(Abstract) (copy available on request) Preprint (2012) 3). Topological chaos and periodic braiding of almost-cyclic sets . (S.D. Ross, M.R. Stremler, P. Grover and P. Kumar)(Abstract)(Preprint) Physical Review Letters (Vol. 106, 114101 (2011)) 4). AIS as "ghost rods" for fluid stirring . (M.R. Stremler, S.D. Ross, P. Grover and P. Kumar) SIAM Conference on Dynamical Systems, 2009. Space probe trajectory design and the three-body problem 1). Optimized Three-Body Gravity Assists and Manifold Transfers in End-to-End Lunar Mission Design (P. Grover and C. Andersson) 22nd AAS/AIAA Space Flight Mechanics Meeting 2012 2). Designing trajectories in a Planet-Moon environment using a controlled Keplerian Map. (P. Grover and S.D. Ross) (Abstract)(Link to paper) AIAA Journal of Guidance,Control and Dynamics.2009 vol. 32 no. 2, Pg 437-444 3). Designing trajectories in a Planet-Moon environment using a controlled Keplerian Map. (P. Grover and S.D. Ross) (Paper) 18th AAS/AIAA Space Flight Mechanics Meeting 2008. 4). Fuel-optimal trajectories in a planet-moon environment using multiple gravity assists.(S.D. Ross and P. Grover (Paper) Proc. of 20th International Symposium on Space Flight Dynamics, 2007. Also available on NASA Technical Reports Server. Other topics 1). Noise Induced Chaos and Calculation of Noisy Lyapunov Exponent in Complex Systems. (P. Grover and S.D. Ross) SIAM Conference on Dynamical Systems, 2009. >Chaos is a friend of mine - Bob Dylan |