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
2781992
Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
G Biondini, G Kovačič
Journal of Mathematical Physics 55 (3), 031506, 2014
1352014
A Melnikov method for homoclinic orbits with many pulses
R Camassa, G Kovačič, SK Tin
Archive for Rational Mechanics and Analysis 143 (2), 105-193, 1998
1111998
Multi-bump orbits homoclinic to resonance bands
T Kaper, G Kovacic
Transactions of the American mathematical society 348 (10), 3835-3887, 1996
1041996
Singular perturbation theory for homoclinic orbits in a class of near-integrable Hamiltonian systems
G Kovačič
Journal of Dynamics and Differential Equations 5 (4), 559-597, 1993
74*1993
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
691995
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 77 (4), 041915, 2008
452008
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
451996
Dynamics of current-based, poisson driven, integrate-and-fire neuronal networks
KA Newhall, G Kovacic, PR Kramer, D Zhou, AV Rangan, D Cai
Communications in Mathematical Sciences 8 (2), 541-600, 2010
442010
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
422003
Cascade-induced synchrony in stochastically driven neuronal networks
KA Newhall, G Kovačič, PR Kramer, D Cai
Physical review E 82 (4), 041903, 2010
382010
The focusing Manakov system with nonzero boundary conditions
D Kraus, G Biondini, G Kovačič
Nonlinearity 28 (9), 3101, 2015
312015
Homoclinic chaos in a laser-matter system
DD Holm, G Kovačič
Physica D: Nonlinear Phenomena 56 (2-3), 270-300, 1992
311992
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
302003
Dissipative dynamics of orbits homoclinic to a resonance band
G Kovačič
Physics Letters A 167 (2), 143-150, 1992
271992
Sparsity and Compressed Coding in Sensory Systems
VJ Barranca, G Kovacic, D Zhou, D Cai
PLOS computational biology 10 (8), e1003793, 2014
262014
Chaotic laser-matter interaction
DD Holm, G Kovacic, B Sundaram
Physics Letters A 154 (7-8), 346-352, 1991
241991
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
222014
Fokker-Planck description of conductance-based integrate-and-fire neuronal networks
G Kovačič, L Tao, AV Rangan, D Cai
Physical Review E 80 (2), 021904, 2009
222009
Multiscale modeling of the primary visual cortex
AV Rangan, L Tao, G Kovacic, D Cai
IEEE Engineering in Medicine and Biology Magazine 28 (3), 19-24, 2009
222009
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