Gregor
Kovacic Gregor
Kovacic
Associate Professor
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
Troy, New York 12180-3590
E-mail: kovacg at rpi dot edu
Telephone: (518) 276-6908
Fax: (518) 276-4824
Ph.D. California Institute of Technology, Applied Mathematics, 1990
Research Interests
Nonlinear evolution equations and their applications
to scientific problems
A. V. Rangan, G. Kovacic, and D. Cai [2008]. Kinetic theory for neuronal networks with fast and slow excitatory conductances driven by the same spike train, Phys. Rev. E 56, 041915.
G. Kovacic, L. Tao, D. Cai, and M. J. Shelley [2008]. Theoretical analysis of reverse-time correlation for idealized orientation tuning dynamics, J. Comput. Neurosci., appeared on-line.
J. A. Byrne, G. Kovacic, and I. R. Gabitov [2003]. 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 [2003]. Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers-Hopf equation, Commun. Pure Appl. Math. 56 (1), 1-46.
M. Frankel, G. Kovacic, V. Roytburd, and I. Timofeyev [2000]. Finite-dimensional dynamical system modeling thermal instabilities, Physica D 137, 295-315.
R. Camassa, G. Kovacic, and S.-K. Tin [1998]. A Melnikov method for homoclinic orbits with many pulses, Arch. Rat. Mech. Anal. 143, 105-193.
A. B. Aceves, D. D. Holm, G. Kovacic, and I. Timofeyev [1997]. Homoclinic orbits and chaos in a second-harmonic generating optical cavity, Phys. Lett. A 233, 203-208.
T. J. Kaper and G. Kovacic [1996]. Multi-bump orbits homoclinic to resonance bands, Trans. AMS 348, 3835-3887.
D. D. Holm, G. Kovacic, and T. A. Wettergren [1996]. Homoclinic orbits in the Maxwell-Bloch equations with a probe, Phys. Rev. E 54, 243-256.
G. Kovacic and T. A. Wettergren [1996]. Homoclinic orbits in the dynamics of resonantly driven coupled pendula, ZAMP 47, 221-264.
G. Kovacic [1995]. Singular perturbation theory for homoclinic orbits in a class of near-integrable dissipative systems, SIAM J. Math. Anal. 26, 1611-1643.
D. D. Holm, G. Kovacic and T. A. Wettergren [1995]. Near-integrability and chaos in a resonant-cavity laser model, Phys. Lett. A 200, 299-307.
T. J. Kaper and G. Kovacic [1994]. A geometric criterion for adiabatic chaos, J. Math. Phys. 35 (3), 1202-1218.
G. Kovacic [1993]. Singular perturbation theory for homoclinic orbits in a class of near-integrable Hamiltonian systems, J. Dynamics Diff. Eqns. 5, 559-597.
G. Kovacic [1992]. Dissipative dynamics of orbits homoclinic to a resonance band, Phys. Lett. A 167, 143-150.
G. Kovacic [1992]. Hamiltonian dynamics of orbits homoclinic to a resonance band, Phys. Lett. A 167, 137-142.
G. Kovacic and S. Wiggins [1992]. Orbits homoclinic to resonances with an application to chaos in a model of the forced and damped Sine-Gordon equation, Physica D 57, 185-225.
D. D. Holm and G. Kovacic [1992]. Homoclinic chaos in a laser-matter system, Physica D 56, 270-300.
A. Aceves, D. D. Holm, and G. Kovacic [1992]. Homoclinic chaos due to competition among degenerate modes in a ring-cavity laser, Phys. Lett. A 161, 499-505.
D. D. Holm, G. Kovacic, and B. Sundaram [1991]. Chaotic laser-matter interaction, Phys. Lett. A 154, 346-352.
D. D. Holm and G. Kovacic [1991]. Homoclinic chaos for ray optics in a fiber, Physica D 51, 177-188.
G. Kovacic [1991]. Lobe area via action formalism in a class of Hamiltonian systems, Physica D 51, 226-233.
Links
Poems
by my wife, Miriam Herrera.
CSUMS research program in Computational and Applied Mathematics for undergraduates at Rensselaer and Howard.
RPI Math
Faculty List