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Discrete & Continuous Dynamical Systems - B

June 2009 , Volume 11 , Issue 4

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Global existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains
Sebastian Aniţa, William Edward Fitzgibbon and Michel Langlais
2009, 11(4): 805-822 doi: 10.3934/dcdsb.2009.11.805 +[Abstract](831) +[PDF](239.8KB)
Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease
Mostafa Bendahmane and Mauricio Sepúlveda
2009, 11(4): 823-853 doi: 10.3934/dcdsb.2009.11.823 +[Abstract](938) +[PDF](3094.2KB)
Lifting in equation-free methods for molecular dynamics simulations of dense fluids
Yves Frederix, Giovanni Samaey, Christophe Vandekerckhove, Ting Li, Erik Nies and Dirk Roose
2009, 11(4): 855-874 doi: 10.3934/dcdsb.2009.11.855 +[Abstract](855) +[PDF](811.7KB)
Dynamic bifurcation of the complex Swift-Hohenberg equation
Jongmin Han and Masoud Yari
2009, 11(4): 875-891 doi: 10.3934/dcdsb.2009.11.875 +[Abstract](971) +[PDF](226.3KB)
Relaxation oscillation profile of limit cycle in predator-prey system
Sze-Bi Hsu and Junping Shi
2009, 11(4): 893-911 doi: 10.3934/dcdsb.2009.11.893 +[Abstract](1080) +[PDF](380.7KB)
Constrained stability and instability of polynomial difference equations with state-dependent noise
Cónall Kelly and Alexandra Rodkina
2009, 11(4): 913-933 doi: 10.3934/dcdsb.2009.11.913 +[Abstract](934) +[PDF](235.1KB)
On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder
Iryna Pankratova and Andrey Piatnitski
2009, 11(4): 935-970 doi: 10.3934/dcdsb.2009.11.935 +[Abstract](874) +[PDF](376.2KB)
Point-vortex interaction in an oscillatory deformation field: Hamiltonian dynamics, harmonic resonance and transition to chaos
Xavier Perrot and Xavier Carton
2009, 11(4): 971-995 doi: 10.3934/dcdsb.2009.11.971 +[Abstract](1014) +[PDF](10591.7KB)
Linear stability analysis of systems with Preisach memory
Alexander Pimenov and Dmitrii I. Rachinskii
2009, 11(4): 997-1018 doi: 10.3934/dcdsb.2009.11.997 +[Abstract](962) +[PDF](538.0KB)
Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains
Zhong-Qing Wang, Ben-Yu Guo and Yan-Na Wu
2009, 11(4): 1019-1038 doi: 10.3934/dcdsb.2009.11.1019 +[Abstract](1091) +[PDF](291.2KB)
Abundance of heteroclinic and homoclinic orbits for the hyperchaotic Rössler system
Daniel Wilczak
2009, 11(4): 1039-1055 doi: 10.3934/dcdsb.2009.11.1039 +[Abstract](928) +[PDF](529.9KB)
Error analysis of stabilized semi-implicit method of Allen-Cahn equation
Xiaofeng Yang
2009, 11(4): 1057-1070 doi: 10.3934/dcdsb.2009.11.1057 +[Abstract](1351) +[PDF](569.8KB)
$\Gamma$-convergence with Dirichlet boundary condition and Landau-Lifshitz functional for thin film
Jian Zhai and Zhihui Cai
2009, 11(4): 1071-1085 doi: 10.3934/dcdsb.2009.11.1071 +[Abstract](927) +[PDF](264.1KB)

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