Vadim Zharnitsky

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Sergei TuritsynProfessor, Aston UniversityVerified email at aston.ac.uk
yuliy baryshnikovprofessor of mathematics and electrical engineeringVerified email at illinois.edu
Dmitry PelinovskyProfessor, McMaster UniversityVerified email at math.mcmaster.ca
Dirk HundertmarkProfessor, Applied Analysis, KITVerified email at kit.edu
M. Burak ErdoganProfessor, University of Illinois, Urbana ChampaignVerified email at illinois.edu
Alejandro B AcevesSouthern Methodist UniversityVerified email at smu.edu
Daniel LiberzonUniversity of Illinois at Urbana-ChampaignVerified email at uiuc.edu
Anil N. HiraniUniversity of Illinois at Urbana-ChampaignVerified email at illinois.edu
Damrong GuoySoftware Engineer, Toyota Research InstituteVerified email at tri.global
Panayotis KevrekidisProfessor, Dept. of Mathematics & Statistics, UMass, AmherstVerified email at math.umass.edu
Dimitri FrantzeskakisDepartment of Physics, National and Kapodistrian University of Athens, GreeceVerified email at phys.uoa.gr
Jan S HesthavenProfessor of Mathematics and Provost, Ecole Polytechnique Federale de Lausanne (EPFL)Verified email at epfl.ch
Maxim Dm. ArnoldAssociate Professor, University of Texas at DallasVerified email at utdallas.edu
Kim O. RasmussenTheoretical Division, Los Alamos National LaboratoryVerified email at lanl.gov
Russell Kenneth JacksonHussman Strategic AdvisorsVerified email at hussmanfunds.com
Michael I WeinsteinColumbia UniversityVerified email at columbia.edu
Sergiy MerenkovThe City College of New YorkVerified email at ccny.cuny.edu
Vladimir MezentsevResearcher, Prokhorov General Physics Institute

Vadim Zharnitsky

Professor of Mathematics, University of Illinois

Verified email at math.uiuc.edu

Dynamical Systems Hamiltonian PDEs Mechanics


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On sharp Strichartz inequalities in low dimensions D Hundertmark, V Zharnitsky International Mathematics Research Notices 2006, 34080, 2006	123	2006
Stabilizing effects of dispersion management V Zharnitsky, E Grenier, CKRT Jones, SK Turitsyn Physica D: Nonlinear Phenomena 152, 794-817, 2001	109	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	73	1998
Hamiltonian averaging for solitons with nonlinearity management DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis, V Zharnitsky Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 70 (4 …, 2004	68	2004
Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem V Zharnitsky Nonlinearity 13 (4), 1123, 2000	58	2000
Invariant tori in Hamiltonian systems with impacts V Zharnitsky Communications in Mathematical Physics 211, 289-302, 2000	55	2000
Instability in Fermi-Ulamping-pong'problem V Zharnitsky Nonlinearity 11 (6), 1481, 1998	44	1998
Whispering gallery modes inside asymmetric resonant cavities Y Baryshnikov, P Heider, W Parz, V Zharnitsky Physical review letters 93 (13), 133902, 2004	43	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	42	1998
Averaging of nonlinearity-managed pulses V Zharnitsky, D Pelinovsky Chaos: An Interdisciplinary Journal of Nonlinear Science 15 (3), 2005	40	2005
A dihedral acute triangulation of the cube E VanderZee, AN Hirani, V Zharnitsky, D Guoy Computational Geometry 43 (5), 445-452, 2010	37	2010
Averaging of dispersion-managed solitons: existence and stability DE Pelinovsky, V Zharnitsky SIAM Journal on Applied Mathematics 63 (3), 745-776, 2003	37	2003
Almost Lyapunov functions for nonlinear systems S Liu, D Liberzon, V Zharnitsky Automatica 113, 108758, 2020	31	2020
Sub-Riemannian geometry and periodic orbits in classical billiards Y Baryshnikov, V Zharnitsky Mathematical Research Letters 13 (4), 587-598, 2006	31	2006
π kinks in strongly ac driven sine-Gordon systems V Zharnitsky, I Mitkov, N Grønbech-Jensen Physical Review E 58 (1), R52, 1998	30	1998
Ground states of dispersion-managed nonlinear Schrödinger equation V Zharnitsky, E Grenier, SK Turitsyn, CKRT Jones, JS Hesthaven Physical Review E 62 (5), 7358, 2000	29	2000
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	28	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	21	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	19	2005
Averaging for split-step scheme V Zharnitsky Nonlinearity 16 (4), 1359, 2003	16	2003

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