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Gregor Kovacic
Gregor Kovacic
Professor of Mathematical Sciences, Rensselaer Polytechnic Institute
Verified email at rpi.edu - Homepage
Title
Cited by
Cited by
Year
Orbits homoclinic to resonances, with an application to chaos in a model of the forced and damped sine-Gordon equation
G Kovačič, S Wiggins
Physica D: Nonlinear Phenomena 57 (1-2), 185-225, 1992
2921992
Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
G Biondini, G Kovačič
Journal of Mathematical Physics 55 (3), 2014
2552014
A Melnikov method for homoclinic orbits with many pulses
R Camassa, G Kovačič, SK Tin
Archive for Rational Mechanics and Analysis 143, 105-193, 1998
1221998
Multi-bump orbits homoclinic to resonance bands
T Kaper, G Kovacic
Transactions of the American mathematical Society 348 (10), 3835-3887, 1996
1071996
Singular perturbation theory for homoclinic orbits in a class of near-integrable dissipative systems
G Kovačič
SIAM journal on mathematical analysis 26 (6), 1611-1643, 1995
791995
The focusing Manakov system with nonzero boundary conditions
D Kraus, G Biondini, G Kovačič
Nonlinearity 28 (9), 3101, 2015
752015
Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers‐Hopf equation
RV Abramov, G Kovačič, AJ Majda
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2003
572003
Dynamics of current-based, poisson driven, integrate-and-fire neuronal networks
KA Newhall, G Kovacic, PR Kramer, D Zhou, AV Rangan, D Cai
532010
Kinetic theory for neuronal networks with fast and slow excitatory conductances driven by the same spike train
AV Rangan, G Kovačič, D Cai
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 77 (4 …, 2008
522008
Cascade-induced synchrony in stochastically driven neuronal networks
KA Newhall, G Kovačič, PR Kramer, D Cai
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 82 (4 …, 2010
472010
Homoclinic orbits in the dynamics of resonantly driven coupled pendula
G Kovačič, TA Wettergren
Zeitschrift für angewandte Mathematik und Physik ZAMP 47 (2), 221-264, 1996
461996
Dynamics of the exponential integrate-and-fire model with slow currents and adaptation
VJ Barranca, DC Johnson, JL Moyher, JP Sauppe, MS Shkarayev, ...
Journal of computational neuroscience 37 (1), 161-180, 2014
352014
Sparsity and Compressed Coding in Sensory Systems
VJ Barranca, G Kovacic, D Zhou, D Cai
PLOS computational biology 10 (8), e1003793, 2014
352014
Polarization switching of light interacting with a degenerate two-level optical medium
JA Byrne, IR Gabitov, G Kovačič
Physica D: Nonlinear Phenomena 186 (1-2), 69-92, 2003
352003
Dissipative dynamics of orbits homoclinic to a resonance band
G Kovačič
Physics Letters A 167 (2), 143-150, 1992
311992
Homoclinic chaos in a laser-matter system
DD Holm, G Kovačič
Physica D: Nonlinear Phenomena 56 (2-3), 270-300, 1992
311992
A high-order accurate scheme for Maxwell's equations with a generalized dispersive material model
JB Angel, JW Banks, WD Henshaw, MJ Jenkinson, AV Kildishev, ...
Journal of Computational Physics 378, 411-444, 2019
292019
Fokker-Planck description of conductance-based integrate-and-fire neuronal networks
G Kovačič, L Tao, AV Rangan, D Cai
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 80 (2 …, 2009
262009
Finite-dimensional dynamical system modeling thermal instabilities
ML Frankel, G Kovačič, V Roytburd, I Timofeyev
Physica D: Nonlinear Phenomena 137 (3-4), 295-315, 2000
242000
Hamiltonian dynamics of orbits homoclinic to a resonance band
G Kovačič
Physics Letters A 167 (2), 137-142, 1992
241992
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