Publications

* Indicates student co-author

*C. Nilsen, *J. Paige, *O. Warner, *B. Mayhew, *R. Sutley, *M. Lam, A.J. Bernoff, C.M. Topaz. Social aggregation in pea aphids: Experiment and random walk modeling, PLOS One 8 (12) (2013) e83343. [Preprint] [Journal]


A.J. Bernoff and C.M. Topaz. Nonlocal aggregation equations, SIAM Rev. 55 (4) (2013)  709 - 747. [Reprint] [Journal]


C.M. Topaz, M.R. D’Orsogna, L. Edelstein-Keshet, and A.J. Bernoff. Locust dynamics: Behavioral phase change and swarming, PLOS Comp. Biol. 8 (8) (2012) e1002642. [Reprint] [Journal]


A. Catllá, *A. McNamara, and C.M. Topaz. Instabilities and patterns in coupled reaction-diffusion layers. Phys. Rev. E 85 (2) (2012) 026215. [Reprint] [Journal]


A.J. Bernoff and C.M. Topaz. A primer of swarm equilibria, SIAM J. Appl. Dyn. Sys. 10 (1) (2011)  212 - 250. [Reprint] [Journal]


E. Sander and C.M. Topaz. Epidemics in the presence of social attraction and repulsion. (2013, in press) 1 - 39. [Preprint]


C.M. Topaz and A. Catllá. Forced patterns near a Turing-Hopf bifurcation. Phys. Rev. E 81 (2) (2010) 026213. [Reprint] [Journal]


*A.J. Leverentz, C.M. Topaz and A.J. Bernoff. Asymptotic dynamics of attractive-repulsive swarms. SIAM J. Appl. Dyn. Sys, 8 (3) (2009) 880 - 908. [Reprint] [Journal]


J.A. Higdon and C.M. Topaz. Blogs and Wikis as Instructional Tools: A Social Software Adaptation of Just-in-Time Teaching. College Teaching 57 (2) (2009) 105 - 109. [Reprint] [Journal]


C.M. Topaz. Review of “Continuum modeling in the physical sciences” by van Groesen and Molenaar. Biometrics 64 (2008) 1299 - 1300. [Reprint] [JSTOR]


C.M. Topaz, A.J. Bernoff, *S. Logan, and *W. Toolson. A model for rolling swarms of locusts. Euro. Phys. J. 157 (1) (2008) 93 - 109. [Reprint] [Journal]


C.M. Topaz, A.L. Bertozzi, and M.A. Lewis. A nonlocal continuum model for biological aggregation. Bull. Math. Bio. 68 (7) (2006) 1601 – 1623. [Reprint] [Journal]


R. Breban, I. McGowan, C.M. Topaz, E. Schwartz, P. Anton, S. Blower. Modeling the potential impact of rectal microbicides to reduce HIV transmission in bathhouses. Math. Biosci. Engin. 3 (3) (2006) 459 – 466. [Reprint] [Journal]


C.M. Topaz, J. Porter, and M. Silber. Multifrequency control of Faraday wave patterns. Phys. Rev. E 70 (6) (2004) 066206. [Reprint] [Journal]


C.M. Topaz and A.L. Bertozzi. Swarming patterns in a two-dimensional kinematic model for biological groups. SIAM J. Appl. Math. 65 (1) (2004) 152 – 174. [Reprint] [Journal]


J. Porter, C.M. Topaz, and M. Silber. Pattern control via multi-frequency parametric forcing. Phys. Rev. Lett. 93 (3) (2004) 034502. [Reprint] [Journal]


*B. Cook, D. Marthaler, C.M. Topaz, A. Bertozzi, and M. Kemp. Fractional bandwidth reacquisition algorithms for VSW-MCM. In Multi-Robot Systems: From Swarms to Intelligent Automata, Volume II, Kluwer Academic Publishers, Dordrecht, A.C. Schultz et al. eds. (2003) 77 – 86. [Reprint]


C.M. Topaz. Pattern formation in two-frequency forced Faraday waves. Ph.D. dissertation (2002) 1 – 210. [Reprint]


C.M. Topaz and M. Silber. Resonances and superlattice pattern stabilization in two-frequency forced Faraday waves. Physica D 172 (1 – 4) (2002) 1 – 29. [Reprint] [Journal]


M. Silber, C.M. Topaz, and A.C. Skeldon. Two-frequency forced Faraday waves: Weakly damped modes and pattern selection. Physica D 143 (1 – 4) (2000) 205 – 225. [Reprint] [Journal]