Simon A. Berman and Kevin A. Mitchell, “Trapping of Swimmers in a Vortex Lattice”, Preprint (2020).

Pieter Collins and Kevin A. Mitchell, “Duality in surface dynamics”, J. Nonlinear Sci. (2019). https://doi.org/10.1007/s00332-019-09549-0.  Published version

Amanda J. Tan, Eric Roberts, Spencer A. Smith,  Ulyses Alverado Olvera, Jorge Arteaga, Sam Fortini, Kevin A. Mitchell, and Linda S. Hirst, “Topological chaos in active nematics”, Nature Physics 15 (2019). Published version.

Eric Roberts, Suzanne Sindi, Spencer Smith, and Kevin A. Mitchell, “Introducing E-tec: Ensemble-based Topological Entropy Calculation”, Chaos 29, 013124 (2019). Published version.  Preprint.

Korana Burke and Kevin A. Mitchell, “A Surface of Section for Hydrogen in Crossed Electric and Magnetic Fields”, Mathematics 6, 185 (2018).  Published version.

Minh Doan, JJ Simons, Katherine Lilienthal, Kevin Mitchell, and Tom Solomon, “Barriers to front propagation in laminar, three-dimensional fluid flows”, Phys. Rev. E 97, 033111 (2018). Published version. Preprint.

Sulimon Sattari and Kevin A. Mitchell, “Using periodic orbits to compute chaotic transport rates between resonance zones”, Chaos 27, 113104 (2017). Published version.  Preprint.

Rory A. Locke, John R. Mahoney, and Kevin A. Mitchell, “Mode-locking in advection-reaction-diffusion systems: an invariant manifold perspective”, Chaos 28, 013129 (2017). Published version.  Preprint.

Spencer A. Smith, Joshua Arenson, Eric Roberts, Suzanne Sindi, and Kevin A. Mitchell, “Topological Chaos in a Three-Dimensional Spherical Fluid Vortex”, Europhysics Letters 117, 60005 (2017). Published version Preprint.

Bryan Maelfeyt, Spencer A. Smith, and Kevin A. Mitchell, “Using Invariant Manifolds to Construct Symbolic Dynamics for Three-Dimensional Volume-Preserving Maps”, SIADS 16, 729 (2017). Published version.

S. Sattari, Q. Chen, and K. A. Mitchell, “Using heteroclinic orbits to quantify topological entropy in fluid flows,” CHAOS 26, 033112 (2016). Publilshed version.

J. R. Mahoney, J. Li, C. Boyer, T. Solomon, and K. A. Mitchell, “Frozen reaction fronts in steady flows: a burning-invariant-manifold perspective,” Physical Review E 92, 063005 (2015).  Journal version

J. R. Mahoney and K. A. Mitchell, “Finite-time barriers to front propagation in two-dimensional fluid flows,” Chaos 25, 087404 (2015).  Journal version

M. K. Ivory, T. A. Byrd, A. J. Pyle, K. K. Das, K. A. Mitchell, A. Aubin, J. B. Delos, “Ballistic atom pumps,” Physical Review A 90, 023602 (2014).  Journal version

J. R. Mahoney and K. A. Mitchell, “A turnstile mechanism for fronts propagating in fluid flows,” Chaos 23, 043106 (2013).  Journal version

K. Burke, K. A. Mitchell, S. Ye, and F. B. Dunning, “Chaotic Ionization of a Stationary Electron State via a Phase Space Turnstile,” Physical Review A 88, 013408 (2013).  Journal version

Kevin A. Mitchell and John R. Mahoney, “Invariant manifolds and the geometry of front propagation in fluid flows”, Chaos 22, 037104 (2012). Journal version,

T. A. Byrd, M. K.  Ivory, A. J. Pyle, S. Aubin, K. A. Mitchell, J. B. Delos, K. K. Das (2012). “Scattering by an oscillating barrier: Quantum, classical, and semiclassical comparison,” Physical Review A 86, 013622 (2012).  Journal version

Kevin A. Mitchell, “Partitioning two-dimensional mixed phase spaces”, Physica D 241, 1718 (2012).  Journal version, Preprint

J. Mahoney, D. Bargteil, M. Kingsbury, K. A. Mitchell, T. Solomon, “Invariant barriers to reactive front propagation in fluid flows,” Europhysics Letters 98, 44005 (2012).  Journal version

K. A. Mitchell, “Periodic orbits and transport in mixed phase spaces”, In M. Robnik, V. Romanovski (Eds.), Proceedings of the 8th International Summer School/Conference; American Institute of Physics Conference Proceedings. “Let’s Face Chaos through Nonlinear Dynamics”, 1468, pp. 268-275 (2012).

K. Burke, K. A. Mitchell, B. Wyker, S. Ye, F. B. Dunning, “Demonstration of Turnstiles as a Chaotic Ionization Mechanism in Rydberg Atoms”, Physical Review Letters 107, 113002 (2011).

Kevin A. Mitchell and Boaz Ilan, “Nonlinear enhancement of the fractal structure in the escape dynamics of Bose-Einstein condensates”, Phys. Rev. A 80, 043406 (2009).

Korana Burke and Kevin A. Mitchell, “Chaotic ionization of a Rydberg atom subjected to alternating kicks: Role of phase space turnstiles”, Phys. Rev. A 80, 033416 (2009).

K. A. Mitchell,  “The topology of nested homoclinic and heteroclinic tangles”, Physica D 238, 737 (2009).

K. A. Mitchell and D. A. Steck, “Fractal templates in the escape dynamics of trapped ultracold atoms”, Phys. Rev. A 76, 031403 (2007).

K. A. Mitchell and J. B. Delos, “The structure of ionizing electron trajectories for hydrogen in parallel fields”, Physica D 229, 9 (2007).

R. Winston, A. D. Kim, and K. A. Mitchell, “Measuring radiance: a paradigm for coherence optics in six-dimensional phase space”, J. Mod. Opt. 53, 2419 (2006).

K. A. Mitchell and J. B. Delos, “A new topological technique for characterizing homoclinic tangles”, Physica D 221, 170 (2006).

P. Hansen, K. A. Mitchell, and J. B. Delos, “Escape of trajectories from a vase-shaped cavity”, Phys. Rev. E 73, 066226 (2006).

K. A. Mitchell, J. P. Handley, B. Tighe, A. Flower, and J. B. Delos, “Analysis of Chaos-Induced Pulse Trains in the Ionization of Hydrogen”, Phys. Rev. A 70, 043407 (2004). PDF

K. A. Mitchell, J. P. Handley, B. Tighe, A. Flower, and J. B. Delos, “Chaos-Induced Pulse Trains in the Ionization of Hydrogen”, Phys. Rev. Lett. 92, 073001 (2004). PDF

K. A. Mitchell, J. P. Handley, B. Tighe, S. K. Knudson, and J. B. Delos, “Geometry and Topology of Escape I: Epistrophes”, Chaos 13, 880 (2003). PDF

K. A. Mitchell, J. P. Handley, S. K. Knudson, and J. B. Delos, “Geometry and Topology of Escape II: Homotopic Lobe Dynamics”, Chaos 13, 892 (2003). PDF

Robert G. Littlejohn, Matthew Cargo, Tucker Carrington, Jr., Kevin A. Mitchell, and Bill Poirier, “A general framework for discrete variable representation basis sets”, J. Chem. Phys. 116, 8691 (2002). PDF.

Robert G. Littlejohn and Kevin A. Mitchell, “Gauge Theory of Small Vibrations in Polyatomic Molecules” in Geometry, Dynamics, and Mechanics, eds. P. Newton, P. Holmes, A. Weinstein (Springer-Verlag, New York, 2002). PDF.

Kevin A. Mitchell, “Gauge fields and extrapotentials in constrained quantum systems”, Phys. Rev. A. 63, 042112/1-20 (2001). PDF.

Kevin A. Mitchell and Robert G. Littlejohn, “Boundary conditions on internal three-body wave functions”, Phys. Rev. A 61, 042502/1-16 (2000). PDF.

Kevin A. Mitchell and Robert G. Littlejohn, “Kinematic orbits and the structure of the internal space for systems of five or more bodies”, J. Phys. A 33, 1395 (2000). PDF.

Robert G. Littlejohn, Kevin A. Mitchell, and Vincenzo Aquilanti, “Quantum dynamics of kinematic invariants in tetra- and polyatomic systems”, PCCP 1, 1259 (1999). PDF.

Kevin A. Mitchell and Robert G. Littlejohn, “The rovibrational kinetic energy for complexes of rigid molecules”, Mol. Phys. 96, 1305 (1999). PDF.

Robert G. Littlejohn, Kevin A. Mitchell, Vincenzo Aquilanti, and Simona Cavalli, “Body frames and frame singularities for three-atom systems”, Phys. Rev. A 58, 3705 (1998). PDF.

Robert G. Littlejohn, Kevin A. Mitchell, Matthias Reinsch, Vincenzo Aquilanti, and Simona Cavalli, “Internal spaces, kinematic rotations, and body frames for four-atom systems”, Phys. Rev. A 58, 3718 (1998). PDF.

Kevin A. Mitchell and Robert G. Littlejohn, “Derivation of planar three-body hyperspherical harmonics from monopole harmonics”, Phys. Rev. A 56, 83 (1997). PDF.