Publications
A backstepping controller for a nonlinear partial differential equation model of compression system instabilities. SIAM JOURNAL ON CONTROL AND OPTIMIZATION. 37:1503-1537.
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1999. Reduced-order models for flow control: balanced models and Koopman modes. IUTAM Bookseries. 18:43-+.
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2010. Correspondence between Koopman mode decomposition, resolvent mode decomposition, and invariant solutions of the Navier-Stokes equations. PHYSICAL REVIEW FLUIDS. 1
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2016. Minimum time heading control of underpowered vehicles in time-varying ocean currents. OCEAN ENGINEERING. 66:12-31.
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2013. The geometry and statistics of mixing in aperiodic flows. PHYSICS OF FLUIDS. 11:2963-2968.
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1999. Weak finite-time Melnikov theory and 3D viscous perturbations of Euler flows. PHYSICA D-NONLINEAR PHENOMENA. 176:82-106.
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2003. Hybrid dynamics of two coupled oscillators that can impact a fixed stop. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. 38:677-689.
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2003. Global Stability Analysis Using the Eigenfunctions of the Koopman Operator. IEEE TRANSACTIONS ON AUTOMATIC CONTROL. 61:3356-3369.
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2016. Spillover stabilization in finite-dimensional control and observer design for dissipative evolution equations. SIAM JOURNAL ON CONTROL AND OPTIMIZATION. 42:746-768.
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2003. Metrics for ergodicity and design of ergodic dynamics for multi-agent systems. PHYSICA D-NONLINEAR PHENOMENA. 240:432-442.
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2011. Uncertainty propagation in dynamical systems. AUTOMATICA. 44:3003-3013.
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2008. Instability of ultra-thin water films and the mechanism of droplet formation on hydrophilic surfaces. JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME. 121:964-971.
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1999. Stability regimes of thin liquid films. MICROSCALE THERMOPHYSICAL ENGINEERING. 2:203-213.
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1998. Programmable Potentials: Approximate N-body potentials from coarse-level logic. SCIENTIFIC REPORTS. 6
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2016. .
2006. Reduction of three-dimensional, volume-preserving flows with symmetry. NONLINEARITY. 11:319-339.
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1998. Ergodic theory and visualization. II. Fourier mesochronic plots visualize (quasi)periodic sets. CHAOS. 25
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2015. Uniform resonant chaotic mixing in fluid flows. NATURE. 425:376-380.
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2003. Existence of invariant tori in three dimensional maps with degeneracy. PHYSICA D-NONLINEAR PHENOMENA. 241:1136-1145.
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2012. Uniform Coverage Control of Mobile Sensor Networks for Dynamic Target Detection. IEEE Conference on Decision and Control. :7292-7299.
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2010. Ergodic theory and experimental visualization of invariant sets in chaotically advected flows. PHYSICS OF FLUIDS. 14:2235-2243.
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2002. Extreme phase sensitivity in systems with fractal isochrons. PHYSICA D-NONLINEAR PHENOMENA. 308:40-51.
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2015. .
2010. Model reduction for agent-based social simulation: Coarse-graining a civil violence model. PHYSICAL REVIEW E. 85
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2012. Agent-based modeling of drinking behavior: A preliminary model and potential applications to theory and practice. AMERICAN JOURNAL OF PUBLIC HEALTH. 96:2055-2060.
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2006.