113 citations · 456 across the 21 of their papers we have counts for
23 papers
Symmetry-breaking in a discrete-choice LQG mean field game
Ali Akbar Rezaei Lori, Piyush Grover
Mean-field games provide a continuum framework for modeling the dynamics of large, interacting populations of non-cooperative agents. This paper studies symmetry-breaking in a fini…
Symmetry, Invariant Manifolds and Flow Reversals in Active Nematic Turbulence
Angel Naranjo, Rumayel Pallock, Caleb Wagner +1
We investigate the role of symmetry, exact coherent structures (ECSs), and their invariant manifolds in organizing flow reversals and turbulent dynamics in channel-confined two-dim…
Phase transition in a kinetic mean-field game model of inertial self-propelled agents
Piyush Grover, Mandy Huo
The framework of Mean-field Games (MFGs) is used for modelling the collective dynamics of large populations of non-cooperative decision-making agents. We formulate and analyze a ki…
Topological bifurcations in a mean-field game
Ali Akbar Rezaei Lori, Piyush Grover
Mean-field games (MFG) provide a statistical physics inspired modeling framework for decision making in large-populations of strategic, non-cooperative agents. Mathematically, thes…
Exploring regular and turbulent flow states in active nematic channel flow via Exact Coherent Structures and their invariant manifolds
Caleb G. Wagner, Rumayel H. Pallock, Michael M. Norton +2
This work is a unified study of stable and unstable steady states of 2D active nematic channel flow using the framework of Exact Coherent Structures (ECS). ECS are stationary, peri…
Mechanochemical Topological Defects in an Active Nematic
Michael M. Norton, Piyush Grover
We propose a reaction-diffusion system that converts topological information of an active nematic into chemical signals. We show that a curvature-activated reaction dipole is suffi…
Phase space analysis of nonlinear wave propagation in a bistable mechanical metamaterial with a defect
Mohammed A. Mohammed, Piyush Grover
We study the dynamics of solitary waves traveling in a one-dimensional chain of bistable elements in the presence of a local inhomogeneity (defect). Numerical simulations reveal th…
Exact coherent structures and phase space geometry of pre-turbulent 2D active nematic channel flow
Caleb G. Wagner, Michael M. Norton, Jae Sung Park +1
Confined active nematics exhibit rich dynamical behavior, including spontaneous flows, periodic defect dynamics, and chaotic `active turbulence'. Here, we study these phenomena usi…
Optimal Control of Active Nematics
Michael M. Norton, Piyush Grover, Michael F. Hagan +1
In this work we present the first systematic framework to sculpt active nematics systems, using optimal control theory and a hydrodynamic model of active nematics. We demonstrate t…
Optimization-based incentivization and control scheme for autonomous traffic
Uroš Kalabić, Piyush Grover, Shuchin Aeron
We consider the problem of incentivization and optimal control of autonomous vehicles for improving traffic congestion. In our scenario, autonomous vehicles must be incentivized in…
Stabilizing Optimal Density Control of Nonlinear Agents with Multiplicative Noise
Kaivalya Bakshi, Evangelos A. Theodorou, Piyush Grover
Control of continuous time dynamics with multiplicative noise is a classic topic in stochastic optimal control. This work addresses the problem of designing infinite horizon optima…
Conceptual design study for heat exhaust management in the ARC fusion pilot plant
A. Q. Kuang, N. M. Cao, A. J. Creely +13
The ARC pilot plant conceptual design study has been extended beyond its initial scope [B. N. Sorbom et al., FED 100 (2015) 378] to explore options for managing ~525 MW of fusion p…
Reinforcement Learning with Function-Valued Action Spaces for Partial Differential Equation Control
Yangchen Pan, Amir-massoud Farahmand, Martha White +3
Recent work has shown that reinforcement learning (RL) is a promising approach to control dynamical systems described by partial differential equations (PDE). This paper shows how…
Reduced-order modeling of fully turbulent buoyancy-driven flows using the Green's function method
M. A. Khodkar, Pedram Hassanzadeh, Saleh Nabi +1
A One-Dimensional (1D) Reduced-Order Model (ROM) has been developed for a 3D Rayleigh-Bénard convection system in the turbulent regime with Rayleigh number . The…
Optimal Transport over Deterministic Discrete-time Nonlinear Systems using Stochastic Feedback Laws
Karthik Elamvazhuthi, Piyush Grover, Spring Berman
This paper considers the relaxed version of the transport problem for general nonlinear control systems, where the objective is to design time-varying feedback laws that transport…
A mean-field game model for homogeneous flocking
Piyush Grover, Kaivalya Bakshi, Evangelos A. Theodorou
Empirically derived continuum models of collective behavior among large populations of dynamic agents are a subject of intense study in several fields, including biology, engineeri…
Optimal transport over nonlinear systems via infinitesimal generators on graphs
Karthik Elamvazhuthi, Piyush Grover
We present a set-oriented graph-based computational framework for continuous-time optimal transport over nonlinear dynamical systems. We recover provably optimal control laws for s…
Optimal perturbations for nonlinear systems using graph-based optimal transport
Piyush Grover, Karthik Elamvazhuthi
We formulate and solve a class of finite-time transport and mixing problems in the set-oriented framework. The aim is to obtain optimal discrete-time perturbations in nonlinear dyn…
On optimal performance of nonlinear energy sinks in multiple-degree-of-freedom systems
Astitva Tripathi, Piyush Grover, Tamas Kalmár-Nagy
We study the problem of optimizing the performance of a nonlinear spring-mass-damper attached to a class of multiple-degree-of-freedom systems. We aim to maximize the rate of one-w…
Learning-based Reduced Order Model Stabilization for Partial Differential Equations: Application to the Coupled Burgers Equation
Mouhacine Benosman, Boris Kramer, Petros Boufounos +1
We present results on stabilization for reduced order models (ROM) of partial differential equations using learning. Stabilization is achieved via closure models for ROMs, where we…
Sparse sensing and DMD based identification of flow regimes and bifurcations in complex flows
Boris Kramer, Piyush Grover, Petros Boufounos +2
We present a sparse sensing framework based on Dynamic Mode Decomposition (DMD) to identify flow regimes and bifurcations in large-scale thermo-fluid systems. Motivated by real-tim…
Model-free control framework for multi-limb soft robots
Vishesh Vikas, Piyush Grover, Barry Trimmer
The deformable and continuum nature of soft robots promises versatility and adaptability. However, control of modular, multi-limbed soft robots for terrestrial locomotion is challe…
Topological chaos, braiding and bifurcation of almost-cyclic sets
Piyush Grover, Shane D. Ross, Mark A. Stremler +1
In certain two-dimensional time-dependent flows, the braiding of periodic orbits provides a way to analyze chaos in the system through application of the Thurston-Nielsen classific…