Dynamical Systems Lab Publications

Select publications sorted by research area are below. Please see Google Scholar Link for full list: here

(* denotes advisee)

Nonlinear dynamics of wave propagation in mechanical metamaterials

1). Phase space analysis of nonlinear wave propagation in a bistable mechanical metamaterial with a defect: Preprint

  Physical Review E , Nov 2022   DOI:10.1103/PhysRevE.106.054204

Nonlinear dynamics of Topological Fluid Mechanics, Active Fluids, and Microfluidics

6). Exploring regular and turbulent flow states in active nematic channel flow via Exact Coherent Structures and their invariant manifolds, 2023: Preprint

Physical Review Fluids, Dec 2023 . DOI:10.1103/PhysRevFluids.8.124401      

Caleb Wagner, Rumayel Pallock, Mike Norton, Jae Sung Park and Piyush Grover

5).Mechanochemical topological defects in an active nematic, 2022: Preprint

Mike Norton and Piyush Grover

4). Exact coherent structures and phase space geometry of pre-turbulent 2D active nematic channel flow Preprint

Physical Review Letters , 2021 . DOI: 10.1103/PhysRevLett.128.028003     

Caleb Wagner, Mike Norton, Jae Sung Park and Piyush Grover

3). Optimal Control of Active Nematics, 2020   Preprint

Physical Review Letters , 2020.     DOI:10.1103/PhysRevLett.125.178005

Michael Norton, Piyush Grover, Michael Hagen, and Seth Fraden

2). Topological Chaos, Braiding and Bifurcation of Almost-cyclic Sets Download

Chaos: An interdisciplinary journal of nonlinear science, 2012. DOI: 10.1063/1.4768666

Piyush Grover, Shane Ross, Mark Stremler and Pankaj Kumar

 1). Topological Chaos and Periodic Braiding of Almost-Cyclic Sets Download

Physical Review Letters, 2011. DOI: 10.1103/PhysRevLett.106.114101

Mark Stremler, Shane Ross, Piyush Grover, and Pankaj Kumar

Large-scale multi-agent system control, mean-field games/control and optimal transport

8). Topological bifurcations in a mean-field game, Preprint 2024

Ali Akbar Rezaei Lori and Piyush Grover 

7). Stabilizing Optimal Density Control of Nonlinear Agents with Multiplicative Noise

Conference on Decision and Control, 2020 

Kaivalya Bakshi, Evangelos A. Theodorou and Piyush Grover

6). Optimization-based incentivization and control scheme for autonomous traffic

IEEE Intelligent Vehicles Symposium, 2020 (To Appear)        Preprint

5). On mean field games for agents with Langevin dynamics 

IEEE Transactions on Control of Network Systems (TCNS), 2019 DOI:10.1109/TCNS.2019.2896975

Kaivalya Bakshi*, Piyush Grover and Evangelos Theodorou 

4). Assignment and Control of Two-Tiered Vehicle Traffic  Preprint

IEEE Conference on Decision and Control (CDC), 2018

Gustav Nilsson, Piyush Grover and Uros Kalabic.

3). A mean-field game model for homogeneous flocking  Download

Chaos: An interdisciplinary journal of nonlinear science, 2018 DOI:10.1063/1.5036663

Piyush Grover, Kaivalya Bakshi* and Evangelos Theodorou

2). Optimal Transport over Deterministic Discrete-time Nonlinear Systems using Stochastic Feedback Laws   Download

IEEE Control System Letters, 2018. DOI: 10.1109/LCSYS.2018.2855185

Karthik Elamvazhuthi*, Piyush Grover, and Spring Berman

1). Optimal transport over nonlinear systems via infinitesimal generators on graphs   Download

Journal of Computational Dynamics, 2018   DOI: 10.3934/jcd.2018001

Model Reduction, Control and Optimization in Turbulent Flows

7). Robust preconditioned one-shot methods and direct-adjoint-looping for optimising Reynolds-averaged turbulent flows, 2022

Computers and Fluids, DOI:10.1016/j.compfluid.2022.105390

Saleh Nabi, Piyush Grover and Colm P. Caulfield

6). Co-Design of Reduced-Order Models and Observers from Thermo-Fluid Data, 2021

IFAC Journal of Systems and Control. DOI: 10.1016/j.ifacsc.2021.100181

Sanjana Vijayshankar, Ankush Chakrabarty, Piyush Grover and Saleh Nabi

5). Dynamic Mode Decomposition and Robust Estimation: Case Study of a 2D Turbulent Boussinesq Flow  Preprint

American Control Conference, 2020.

Sanjana Vijayshankar, Saleh Nabi, Ankush Chakrabarty, Piyush Grover and Mouhacine Benosman

4). Nonlinear Optimal Control Strategies for Buoyancy-Driven Flows in the Built Environment  Download

Computers and Fluids, 2019. DOI:10.1016/j.compfluid.2019.104313

Saleh Nabi, Piyush Grover and Colm P. Caulfield

3). Reduced-order modeling of fully turbulent buoyancy-driven flows using the Green's function method  Download

Physical Review Fluids, 2019. DOI: 10.1103/PhysRevFluids.4.013801 Chosen as Editor's suggestion.

M.A. Khodkar, Pedram Hassanzadeh, Saleh Nabi and Piyush Grover 

2). Reinforcement Learning with Function-Valued Action Spaces for Partial Differential Equation Control Download

Thirty-fifth International Conference on Machine Learning (ICML) 2018.

Yangchen Pan, Amir-massoud Farahmand, Martha White, Saleh Nabi, Piyush Grover, Daniel Nikovski

1).  Sparse sensing and DMD based identification of flow regimes and bifurcations in complex flows Download

SIAM Journal on Applied Dynamical Systems, 2017. DOI:10.1137/15M104565X

Boris Kramer*, Piyush Grover, Petros Boufounos, Saleh Nabi* and Mouhacine Benosman

Other topics (Nonlinear Energy Transfers, Astrodynamics, Space Mission Design)

1).  On optimal performance of nonlinear energy sinks in multiple-degree-of-freedom systems   Download

Journal of Sound and Vibration (JSV) 2016. DOI:10.1016/j.jsv.2016.10.025

Astitva Tripathi*, Piyush Grover, Tamas Kalmar-Nagy

2).  Designing trajectories in a planet-moon environment using the controlled Keplerian mapDownload

Journal of guidance, control, and dynamics, 2009. DOI:10.2514/1.38320

Piyush Grover and Shane Ross

3). Optimized Three-Body Gravity Assists and Manifold Transfers in End-to-End Lunar Mission Design:Download

AAS/AIAA Space Flight Mechanics Meeting, 2012

Piyush Grover and Christian Anderson*

4). Low-thrust GTO-to-GEO trajectory optimization and tracking Download

AAS/AIAA Astrodynamics Specialist Meeting, 2018

Uros Kalabic, Avishai Weiss and Piyush Grover