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Discrete & Continuous Dynamical Systems - S

October 2011 , Volume 4 , Issue 5

Issue on Localized Excitations in Nonlinear Complex Systems (LENCOS'09)

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Preface
Ricardo Carretero-González, Jesús Cuevas Maraver, Dimitri J. Frantzeskakis, P.G. Kevrekidis and Faustino Palmero Acebedo
2011, 4(5): i-iii doi: 10.3934/dcdss.2011.4.5i +[Abstract](1124) +[PDF](110.0KB)
Nonlinear wave dynamics: From lasers to fluids
Mark J. Ablowitz, Terry S. Haut, Theodoros P. Horikis, Sean D. Nixon and Yi Zhu
2011, 4(5): 923-955 doi: 10.3934/dcdss.2011.4.923 +[Abstract](930) +[PDF](1581.3KB)
Analysis of supercontinuum generation under general dispersion characteristics and beyond the slowly varying envelope approximation
Alejandro B. Aceves, Rondald Chen, Yeojin Chung, Thomas Hagstrom and Michelle Hummel
2011, 4(5): 957-973 doi: 10.3934/dcdss.2011.4.957 +[Abstract](782) +[PDF](782.8KB)
Asymptotics for supersonic traveling waves in the Morse lattice
Alejandro B. Aceves, Luis A. Cisneros-Ake and Antonmaria A. Minzoni
2011, 4(5): 975-994 doi: 10.3934/dcdss.2011.4.975 +[Abstract](1056) +[PDF](457.8KB)
Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
Azucena Álvarez, Francisco R. Romero, José M. Romero and Juan F. R. Archilla
2011, 4(5): 995-1006 doi: 10.3934/dcdss.2011.4.995 +[Abstract](996) +[PDF](2406.4KB)
Existence of solitary waves in nonlinear equations of Schrödinger type
Juan Belmonte-Beitia and Vladyslav Prytula
2011, 4(5): 1007-1017 doi: 10.3934/dcdss.2011.4.1007 +[Abstract](1144) +[PDF](372.0KB)
Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrödinger lattices
Christopher Chong and Dmitry Pelinovsky
2011, 4(5): 1019-1031 doi: 10.3934/dcdss.2011.4.1019 +[Abstract](1126) +[PDF](382.7KB)
The VES hypothesis and protein misfolding
Leonor Cruzeiro
2011, 4(5): 1033-1046 doi: 10.3934/dcdss.2011.4.1033 +[Abstract](1099) +[PDF](1079.3KB)
Sine-Gordon wobbles through Bäcklund transformations
Sara Cuenda, Niurka R. Quintero and Angel Sánchez
2011, 4(5): 1047-1056 doi: 10.3934/dcdss.2011.4.1047 +[Abstract](1250) +[PDF](377.7KB)
Interaction of moving discrete breathers with interstitial defects
Jesús Cuevas, Bernardo Sánchez-Rey, J. C. Eilbeck and Francis Michael Russell
2011, 4(5): 1057-1067 doi: 10.3934/dcdss.2011.4.1057 +[Abstract](862) +[PDF](1591.5KB)
Interaction length of DM solitons in the presence of third order dispersion with loss and amplification
Francisco J. Diaz-Otero and Pedro Chamorro-Posada
2011, 4(5): 1069-1078 doi: 10.3934/dcdss.2011.4.1069 +[Abstract](710) +[PDF](399.5KB)
Dynamics of edge dislocation clusters interacting with running acoustic waves
Sergey V. Dmitriev, Asiya A. Nazarova, Anatoliy I. Pshenichnyuk and Albert M. Iskandarov
2011, 4(5): 1079-1094 doi: 10.3934/dcdss.2011.4.1079 +[Abstract](1040) +[PDF](467.3KB)
The dynamics of the kink in curved large area Josephson junction
Tomasz Dobrowolski
2011, 4(5): 1095-1105 doi: 10.3934/dcdss.2011.4.1095 +[Abstract](886) +[PDF](376.2KB)
Breathers and kinks in a simulated crystal experiment
Qingxu Dou, Jesús Cuevas, J. C. Eilbeck and Francis Michael Russell
2011, 4(5): 1107-1118 doi: 10.3934/dcdss.2011.4.1107 +[Abstract](1205) +[PDF](2611.7KB)
Mechanisms of recovery of radiation damage based on the interaction of quodons with crystal defects
Vladimir Dubinko
2011, 4(5): 1119-1128 doi: 10.3934/dcdss.2011.4.1119 +[Abstract](824) +[PDF](1146.7KB)
Travelling waves of forced discrete nonlinear Schrödinger equations
Michal Fečkan and Vassilis M. Rothos
2011, 4(5): 1129-1145 doi: 10.3934/dcdss.2011.4.1129 +[Abstract](1152) +[PDF](421.0KB)
Nonlinear lattice models for biopolymers: Dynamical coupling to a ionic cloud and application to actin filaments
Cynthia Ferreira, Guillaume James and Michel Peyrard
2011, 4(5): 1147-1166 doi: 10.3934/dcdss.2011.4.1147 +[Abstract](1124) +[PDF](715.3KB)
Complex spatiotemporal behavior in a chain of one-way nonlinearly coupled elements
Yuri B. Gaididei, Rainer Berkemer, Carlos Gorria, Peter L. Christiansen, Atsushi Kawamoto, Takahiro Shiga, Mads P. Sørensen and Jens Starke
2011, 4(5): 1167-1179 doi: 10.3934/dcdss.2011.4.1167 +[Abstract](1067) +[PDF](204.5KB)
Bose-Einstein condensates and spectral properties of multicomponent nonlinear Schrödinger equations
Vladimir S. Gerdjikov
2011, 4(5): 1181-1197 doi: 10.3934/dcdss.2011.4.1181 +[Abstract](1096) +[PDF](414.4KB)
Multiple dark solitons in Bose-Einstein condensates at finite temperatures
P.G. Kevrekidis and Dimitri J. Frantzeskakis
2011, 4(5): 1199-1212 doi: 10.3934/dcdss.2011.4.1199 +[Abstract](1053) +[PDF](536.2KB)
Dissipative solitons in binary fluid convection
Isabel Mercader, Oriol Batiste, Arantxa Alonso and Edgar Knobloch
2011, 4(5): 1213-1225 doi: 10.3934/dcdss.2011.4.1213 +[Abstract](842) +[PDF](3273.3KB)
Continuation and bifurcations of breathers in a finite discrete NLS equation
Panayotis Panayotaros
2011, 4(5): 1227-1245 doi: 10.3934/dcdss.2011.4.1227 +[Abstract](1072) +[PDF](11244.7KB)
Breather-mediated energy transfer in proteins
Francesco Piazza and Yves-Henri Sanejouand
2011, 4(5): 1247-1266 doi: 10.3934/dcdss.2011.4.1247 +[Abstract](1507) +[PDF](1551.8KB)
Persistent mobile lattice excitations in a crystalline insulator
Francis Michael Russell and J. C. Eilbeck
2011, 4(5): 1267-1285 doi: 10.3934/dcdss.2011.4.1267 +[Abstract](822) +[PDF](3974.8KB)
Logic operations demonstrated with localized vibrations in a micromechanical cantilever array
Masayuki Sato, Naoki Fujita and A. J. Sievers
2011, 4(5): 1287-1298 doi: 10.3934/dcdss.2011.4.1287 +[Abstract](841) +[PDF](621.2KB)
Exact solutions for periodic and solitary matter waves in nonlinear lattices
Cheng Hou Tsang, Boris A. Malomed and Kwok Wing Chow
2011, 4(5): 1299-1325 doi: 10.3934/dcdss.2011.4.1299 +[Abstract](1102) +[PDF](1345.7KB)
Dark solitary waves in nonlocal nonlinear Schrödinger systems
David Usero
2011, 4(5): 1327-1340 doi: 10.3934/dcdss.2011.4.1327 +[Abstract](1045) +[PDF](414.7KB)
Snake-to-isola transition and moving solitons via symmetry-breaking in discrete optical cavities
Alexey Yulin and Alan Champneys
2011, 4(5): 1341-1357 doi: 10.3934/dcdss.2011.4.1341 +[Abstract](1022) +[PDF](1134.1KB)

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