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Discrete & Continuous Dynamical Systems - B

October 2010 , Volume 14 , Issue 3

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Minimum free energy in the frequency domain for a heat conductor with memory
Giovambattista Amendola, Mauro Fabrizio and John Murrough Golden
2010, 14(3): 793-816 doi: 10.3934/dcdsb.2010.14.793 +[Abstract](871) +[PDF](277.5KB)
Existence of pulsating waves in a monostable reaction-diffusion system in solid combustion
Michaël Bages and Patrick Martinez
2010, 14(3): 817-869 doi: 10.3934/dcdsb.2010.14.817 +[Abstract](940) +[PDF](517.0KB)
Chaos and quasi-periodicity in diffeomorphisms of the solid torus
Henk W. Broer, Carles Simó and Renato Vitolo
2010, 14(3): 871-905 doi: 10.3934/dcdsb.2010.14.871 +[Abstract](1165) +[PDF](11395.1KB)
Evaporation law in kinetic gravitational systems described by simplified Landau models
Pierre Carcaud, Pierre-Henri Chavanis, Mohammed Lemou and Florian Méhats
2010, 14(3): 907-934 doi: 10.3934/dcdsb.2010.14.907 +[Abstract](1062) +[PDF](339.8KB)
A gradient flow scheme for nonlinear fourth order equations
Bertram Düring, Daniel Matthes and Josipa Pina Milišić
2010, 14(3): 935-959 doi: 10.3934/dcdsb.2010.14.935 +[Abstract](1359) +[PDF](910.1KB)
Period increment cascades in a discontinuous map with square-root singularity
Partha Sharathi Dutta and Soumitro Banerjee
2010, 14(3): 961-976 doi: 10.3934/dcdsb.2010.14.961 +[Abstract](1214) +[PDF](683.7KB)
On the high order approximation of the centre manifold for ODEs
Ariadna Farrés and Àngel Jorba
2010, 14(3): 977-1000 doi: 10.3934/dcdsb.2010.14.977 +[Abstract](1076) +[PDF](1968.2KB)
Regular flows of weakly compressible viscoelastic fluids and the incompressible limit
Colette Guillopé, Zaynab Salloum and Raafat Talhouk
2010, 14(3): 1001-1028 doi: 10.3934/dcdsb.2010.14.1001 +[Abstract](1102) +[PDF](355.6KB)
A spectral collocation method for solving initial value problems of first order ordinary differential equations
Ben-Yu Guo and Zhong-Qing Wang
2010, 14(3): 1029-1054 doi: 10.3934/dcdsb.2010.14.1029 +[Abstract](1020) +[PDF](345.1KB)
Mathematical analysis of a kinetic model for cell movement in network tissues
Thomas Hillen, Peter Hinow and Zhi-An Wang
2010, 14(3): 1055-1080 doi: 10.3934/dcdsb.2010.14.1055 +[Abstract](1138) +[PDF](921.5KB)
Analysis of a predator-prey model with predators impulsively diffusing between two patches
Jianjun Jiao and Lansun Chen
2010, 14(3): 1081-1094 doi: 10.3934/dcdsb.2010.14.1081 +[Abstract](1022) +[PDF](241.3KB)
Global properties of a general predator-prey model with non-symmetric attack and consumption rate
Andrei Korobeinikov
2010, 14(3): 1095-1103 doi: 10.3934/dcdsb.2010.14.1095 +[Abstract](1259) +[PDF](145.3KB)
Stationary patterns for an adsorbate-induced phase transition model I: Existence
Kousuke Kuto and Tohru Tsujikawa
2010, 14(3): 1105-1117 doi: 10.3934/dcdsb.2010.14.1105 +[Abstract](1048) +[PDF](196.2KB)
On the traveling wave solutions for a nonlinear diffusion-convection equation: Dynamical system approach
Jibin Li and Yi Zhang
2010, 14(3): 1119-1138 doi: 10.3934/dcdsb.2010.14.1119 +[Abstract](952) +[PDF](1306.1KB)
An asymptotic analysis of the persistence threshold for the diffusive logistic model in spatial environments with localized patches
Alan E. Lindsay and Michael J. Ward
2010, 14(3): 1139-1179 doi: 10.3934/dcdsb.2010.14.1139 +[Abstract](913) +[PDF](577.4KB)
Existence of transversal homoclinic orbits in higher dimensional discrete dynamical systems
Chen-Chang Peng and Kuan-Ju Chen
2010, 14(3): 1181-1197 doi: 10.3934/dcdsb.2010.14.1181 +[Abstract](829) +[PDF](205.7KB)
A class of doubly degenerate parabolic equations with periodic sources
Jiebao Sun, Boying Wu, Jing Li and Dazhi Zhang
2010, 14(3): 1199-1210 doi: 10.3934/dcdsb.2010.14.1199 +[Abstract](1083) +[PDF](189.1KB)
Anti-shifting phenomenon of a convective nonlinear diffusion equation
Chunpeng Wang, Jingxue Yin and Bibo Lu
2010, 14(3): 1211-1236 doi: 10.3934/dcdsb.2010.14.1211 +[Abstract](1125) +[PDF](301.5KB)
Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems
Xiaocai Wang, Junxiang Xu and Dongfeng Zhang
2010, 14(3): 1237-1249 doi: 10.3934/dcdsb.2010.14.1237 +[Abstract](1019) +[PDF](202.0KB)
Dynamics of domain wall in thin film driven by spin current
Lei Yang and Xiao-Ping Wang
2010, 14(3): 1251-1263 doi: 10.3934/dcdsb.2010.14.1251 +[Abstract](1067) +[PDF](193.7KB)

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