Publications
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. .
2015. Data fusion via intrinsic dynamic variables: An application of data-driven Koopman spectral analysis. EPL. 109
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2015. MESOCHRONIC CLASSIFICATION OF TRAJECTORIES IN INCOMPRESSIBLE 3D VECTOR FIELDS OVER FINITE TIMES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S. 9:923-958.
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2016. Eulerian diagnostics for Lagrangian chaos in three-dimensional Navier-Stokes flows. PHYSICAL REVIEW E. 57:482-490.
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1998. Characteristic length scales of spatial models in ecology via fluctuation analysis. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES. 352:1589-1601.
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1997. Complex dynamics in a harmonically excited Lennard-Jones oscillator: Microcantilever-sample interaction in scanning probe microscopes. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME. 122:240-245.
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2000. Spectral analysis of nonlinear flows. JOURNAL OF FLUID MECHANICS. 641:115-127.
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2009. Capturing deviation from ergodicity at different scales. PHYSICA D-NONLINEAR PHENOMENA. 238:1668-1679.
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2009. Statistical properties of controlled fluid flows with applications to control of mixing. SYSTEMS & CONTROL LETTERS. 45:249-256.
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2002. A minimum Sobolev norm technique for the numerical discretization of PDEs. JOURNAL OF COMPUTATIONAL PHYSICS. 299:649-666.
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2015. DEVELOPMENT OF AN END-POINT DETECTION PROCEDURE FOR THE POST-EXPOSE BAKE PROCESS. PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE). 2439:78-88.
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1995. A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids. JOURNAL OF COMPUTATIONAL PHYSICS. 219:912-929.
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2006. A second order accurate level set method on non-graded adaptive Cartesian grids. JOURNAL OF COMPUTATIONAL PHYSICS. 225:300-321.
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2007. Geometric integration over irregular domains with application to level-set methods. JOURNAL OF COMPUTATIONAL PHYSICS. 226:1432-1443.
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2007. Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. JOURNAL OF COMPUTATIONAL PHYSICS. 231:3246-3263.
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2012. Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. JOURNAL OF COMPUTATIONAL PHYSICS. 227:9686-9695.
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2008. A parallel fast sweeping method for the Eikonal equation. JOURNAL OF COMPUTATIONAL PHYSICS. 237:46-55.
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2013. On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains. JOURNAL OF COMPUTATIONAL PHYSICS. 231:4531-4536.
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2012.