Dane Taylor
Ph.D. Candidate (expected May 2013)

Department of Applied Mathematics
526 UCB
University of Colorado
Boulder, CO 80309-0526

dane(dot)taylor(at)colorado(dot).edu

As a research assistant for Juan G. Restrepo, I am currently complex systems and complex networks. This and my undergraduate research has led to my current position as Lockheed Martin’s Colorado ARC’s Scholar at CU. While my interests typically fall under the umbrella term of "complex systems," I am particularly interested in studying network-related dynamics for which the dynamics simultaneously adhere to and mold the network (e.g., memory formation). In this pursuit, my main directions of research include: (i) fundamental approaches for the design and modification of network topology; (ii) percolation theory for understanding system robustness and security; and (iii) percolation-type dynamics such as synchronization, neural excitation, and epidemic spreading. My collaborators include Francois G. Meyer, Elana Fertig, Jie Sun, Per Sebastion Skardal, Daniel B. Larremore, and Ed Ott.

[7] Complex macroscopic behavior in systems of phase oscillators with adaptive coupling
      P. S. Skardal, D. Taylor, and J. G. Restrepo
      Physica D, 10.1016/j.physd.2013.01.012 (2013) [PDF] [Physica D]

[6] Universality and full phase-locking in correlated oscillator networks
      P. S. Skardal, J. Sun, D. Taylor, and J. G. Restrepo
      Europhysics Letters 101, 20001 (2013) [PDF] [EPL]

[5] Social Climber attachment in forming networks produces a phase transition in a measure of connectivity
      D. Taylor and D. B. Larremore
      Physical Review E 86, 031140 (2012) [PDF] [PRE]

[4] A network-specific approach to percolation in complex networks with bidirectional links
      D. Taylor and J. G. Restrepo
      Europhysics Letters 98, 16007 (2012) [PDF] [EPL]

[3] Network connectivity during mergers and growth: Optimizing the addition of a module
      D. Taylor and J. G. Restrepo
      Physical Review E 83, 066112 (2011) [PDF] [PRE]

[2] Spontaneous synchronization of coupled oscillator systems with frequency adaptation
      D. Taylor, E. Ott, and J. G. Restrepo
      Physical Review E 81, 046214 (2010) [PDF] [PRE]

[1] Micro-structured surface ratchets for droplet transport
      A. Shastry, D. Taylor, and K. Böhringer
      Solid-State Sensors, Actuators and Microsystems (Transducers '07), Lyon, France (2007) [PDF] [IEEE]