Research Funding:

National Science Foundation, Research Experiences for Undergraduates, Grant # PHY-0648751.

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• "Suppression of macrosopic quantum tunneling in a large Josephson junction coupled to a resonator," Brad R. Trees, Yaser H. Helal* (Ohio Wesleyan University), Joshua S. Schiffrin* (Carnegie Mellon Univerisity), and Brian M. Siller* (former OWU student, now at the University of Illinois at Urbana-Champaign), Phys. Rev. B 76, article number 224513 (2007).
• "Nanomechanical-resonator-induced synchronization in Josephson junction arrays," B. R. Trees, S. Natu*, and D. Stroud, Phys. Rev. B 72, article number 214524 (2005).
• ibid, Virtual Journal of Applications of Superconductivity, Jan. 1, 2006. (Chosen to appear by editor.)
• "Synchronization in disordered Josephson junction arrays: small-world connections and the Kuramoto model," B. R. Trees, V. Saranathan*, and D. Stroud, Phys. Rev. E 71, article number 016215 (2005).
• ibid, Virtual Journal of Applications of Superconductivity, Jan. 15, 2005. (Chosen to appear by editor.)
• "Synchronization of coupled rotators: Josephson junction ladders and the locally-coupled Kuramoto model," B. C. Daniels*, S. T. M. Dissanayake*, and B. R. Trees, Phys. Rev. E 67, article number 026216 (2003).
• ibid, Virtual Journal of Applications of Superconductivity, vol 4, issue 5, 2003. (Chosen to appear by editor.)
• "Phase locking in Josephson junction arrays: a review of recent theoretical work," B. R. Trees, in Studies of High Temperature Superconductors, vol. 39, edited by A. Narlikar (NOVA Science Publishers, Hungtinton NY, 2002).
• "Phase locking in Josephson ladders and the discrete sine-Gordon equation: the effects of boundary conditions and current induced magnetic fields," B. R. Trees and R. A. Murgescu*, Phys. Rev. E 64, article number 46205, 2001.
• "Instabilities in Josephson ladders with current induced magnetic fields," B.R. Trees and R. A. Murgescu*, Phys. Rev. B 63, article number 144503, 2001.
• "Floquet exponents of underdamped Josephson ladders: a comparison with predictions of the discrete sine-Gordon equation," B. R. Trees and N. Hussain*, Phys. Rev. E 61, 2000, pp. 6415-6425.
• "Two-dimensional arrays of Josephson junctions in a magnetic field: a stability analysis of synchronized states," B. R. Trees and D. Stroud, Phys. Rev. B 59, 1999, pp. 7108-7115.
• "Linear arrays of Josephson junctions: a stability analysis of characteristic modes," B. R. Trees and E. B. Harris, Phys. Rev. B 57, 1998, pp. 5425-5431.