Associate Professor of Mathematical Sciences
Ph.D., California Institute of Technology, Applied Mathematics, 1990
Alfred P. Sloan Fellowship, 1996
NSF CAREER Award, 1995
Director's Funded Postdoctoral Fellowship, Los Alamos National Laboratory, 1989
Preseren's Student Prize, University of Ljubljana, Slovenia, 1985
Applied mathematics of nonlinear optics and neuroscience.
J. A. Byrne, G. Kovacic, and I. R. Gabitov . Polarization switching of light interacting with a degenerate two-level optical medium, Physica D 186, 69-92.
R. V. Abramov, G. Kovacic, and A. J. Majda . Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers-Hopf equation, Commun. Pure Appl. Math. 56 (1), 1-46.
R. Camassa, G. Kovacic, and S.-K. Tin . A Melnikov method for homoclinic orbits with many pulses, Arch. Rat. Mech. Anal. 143, 105-193.
T. J. Kaper and G. Kovacic . Multi-bump orbits homoclinic to resonance bands, Trans. AMS 348, 3835-3887.
G. Kovacic . Singular perturbation theory for homoclinic orbits in a class of near-integrable dissipative systems, SIAM J. Math. Anal. 26, 1611-1643.
G. Kovacic . Singular perturbation theory for homoclinic orbits in a class of near-integrable Hamiltonian systems, J. Dynamics Diff. Eqns. 5, 559-597.