Vadim Zharnitsky
Vadim Zharnitsky
Professor of Mathematics, University of Illinois
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Cited by
Cited by
On sharp Strichartz inequalities in low dimensions
D Hundertmark, V Zharnitsky
International Mathematics Research Notices 2006, 34080, 2006
Stabilizing effects of dispersion management
V Zharnitsky, E Grenier, CKRT Jones, SK Turitsyn
Physica D: Nonlinear Phenomena 152, 794-817, 2001
Average dynamics of the optical soliton in communication lines with dispersion management: Analytical results
SK Turitsyn, AB Aceves, CKRT Jones, V Zharnitsky
Physical Review E 58 (1), R48, 1998
Hamiltonian averaging for solitons with nonlinearity management
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis, V Zharnitsky
Physical Review E 70 (4), 047604, 2004
Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem
V Zharnitsky
Nonlinearity 13 (4), 1123, 2000
Invariant tori in Hamiltonian systems with impacts
V Zharnitsky
Communications in Mathematical Physics 211, 289-302, 2000
Instability in Fermi-Ulamping-pong'problem
V Zharnitsky
Nonlinearity 11 (6), 1481, 1998
Whispering gallery modes inside asymmetric resonant cavities
Y Baryshnikov, P Heider, W Parz, V Zharnitsky
Physical review letters 93 (13), 133902, 2004
Parametrically forced sine-Gordon equation and domain wall dynamics in ferromagnets
V Zharnitsky, I Mitkov, M Levi
Physical Review B 57 (9), 5033, 1998
Averaging of nonlinearity-managed pulses
V Zharnitsky, D Pelinovsky
Chaos: An Interdisciplinary Journal of Nonlinear Science 15 (3), 037105, 2005
A dihedral acute triangulation of the cube
E VanderZee, AN Hirani, V Zharnitsky, D Guoy
Computational Geometry 43 (5), 445-452, 2010
Averaging of dispersion-managed solitons: existence and stability
DE Pelinovsky, V Zharnitsky
SIAM Journal on Applied Mathematics 63 (3), 745-776, 2003
Sub-Riemannian geometry and periodic orbits in classical billiards
Y Baryshnikov, V Zharnitsky
Mathematical Research Letters 13 (4), 587-598, 2006
Ground states of dispersion-managed nonlinear Schr÷dinger equation
V Zharnitsky, E Grenier, SK Turitsyn, CKRT Jones, JS Hesthaven
Physical Review E 62 (5), 7358, 2000
π kinks in strongly ac driven sine-Gordon systems
V Zharnitsky, I Mitkov, N Gr°nbech-Jensen
Physical Review E 58 (1), R52, 1998
Geometric and combinatorial properties of well-centered triangulations in three and higher dimensions
E VanderZee, AN Hirani, D Guoy, V Zharnitsky, EA Ramos
Computational Geometry 46 (6), 700-724, 2013
Three-period orbits in billiards on the surfaces of constant curvature
V Blumen, KY Kim, J Nance, V Zharnitsky
International Mathematics Research Notices 2012 (21), 5014-5024, 2012
Ground states for the higher-order dispersion managed NLS equation in the absence of average dispersion
M Kunze, J Moeser, V Zharnitsky
Journal of Differential Equations 209 (1), 77-100, 2005
Hamiltonian averaging in soliton-bearing systems with a periodically varying dispersion
SK Turitsyn, AB Aceves, CKRT Jones, V Zharnitsky, VK Mezentsev
Physical Review E 59 (4), 3843, 1999
Almost Lyapunov functions for nonlinear systems
S Liu, D Liberzon, V Zharnitsky
Automatica 113, 108758, 2020
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