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Discrete & Continuous Dynamical Systems - A

October 2011 , Volume 29 , Issue 4

A special issue
Trends and Developments in DE/Dynamics
Part III

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Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields
Pablo Aguirre, Eusebius J. Doedel, Bernd Krauskopf and Hinke M. Osinga
2011, 29(4): 1309-1344 doi: 10.3934/dcds.2011.29.1309 +[Abstract](1117) +[PDF](3574.3KB)
On uniqueness of a weak solution of one-dimensional concrete carbonation problem
Toyohiko Aiki and Adrian Muntean
2011, 29(4): 1345-1365 doi: 10.3934/dcds.2011.29.1345 +[Abstract](1095) +[PDF](372.1KB)
A biharmonic-modified forward time stepping method for fourth order nonlinear diffusion equations
Andrea L. Bertozzi, Ning Ju and Hsiang-Wei Lu
2011, 29(4): 1367-1391 doi: 10.3934/dcds.2011.29.1367 +[Abstract](1153) +[PDF](1416.0KB)
Asymptotic behaviour of a porous medium equation with fractional diffusion
Luis Caffarelli and Juan-Luis Vázquez
2011, 29(4): 1393-1404 doi: 10.3934/dcds.2011.29.1393 +[Abstract](1542) +[PDF](384.0KB)
Hausdorffization and polynomial twists
Laura DeMarco and Kevin Pilgrim
2011, 29(4): 1405-1417 doi: 10.3934/dcds.2011.29.1405 +[Abstract](1007) +[PDF](368.2KB)
Symbolic extensions and partially hyperbolic diffeomorphisms
Lorenzo J. Díaz and Todd Fisher
2011, 29(4): 1419-1441 doi: 10.3934/dcds.2011.29.1419 +[Abstract](1293) +[PDF](392.3KB)
Asymptotic analysis of a diffuse interface relaxation to a nonlocal optimal partition problem
Qiang Du and Jingyan Zhang
2011, 29(4): 1443-1461 doi: 10.3934/dcds.2011.29.1443 +[Abstract](1205) +[PDF](842.3KB)
On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow
Yoshikazu Giga, Yukihiro Seki and Noriaki Umeda
2011, 29(4): 1463-1470 doi: 10.3934/dcds.2011.29.1463 +[Abstract](1322) +[PDF](326.6KB)
Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms
Holger Heumann and Ralf Hiptmair
2011, 29(4): 1471-1495 doi: 10.3934/dcds.2011.29.1471 +[Abstract](1244) +[PDF](552.1KB)
Subshifts of finite type which have completely positive entropy
Christopher Hoffman
2011, 29(4): 1497-1516 doi: 10.3934/dcds.2011.29.1497 +[Abstract](1102) +[PDF](246.7KB)
Repeated games for non-linear parabolic integro-differential equations and integral curvature flows
Cyril Imbert and Sylvia Serfaty
2011, 29(4): 1517-1552 doi: 10.3934/dcds.2011.29.1517 +[Abstract](1422) +[PDF](430.2KB)
Delone measures of finite local complexity and applications to spectral theory of one-dimensional continuum models of quasicrystals
Steffen Klassert, Daniel Lenz and Peter Stollmann
2011, 29(4): 1553-1571 doi: 10.3934/dcds.2011.29.1553 +[Abstract](1100) +[PDF](450.7KB)
Global existence and uniqueness of a three-dimensional model of cellular electrophysiology
Hiroshi Matano and Yoichiro Mori
2011, 29(4): 1573-1636 doi: 10.3934/dcds.2011.29.1573 +[Abstract](1149) +[PDF](909.1KB)
Numerical simulation of resonant tunneling of fast solitons for the nonlinear Schrödinger equation
Walid K. Abou Salem, Xiao Liu and Catherine Sulem
2011, 29(4): 1637-1649 doi: 10.3934/dcds.2011.29.1637 +[Abstract](1337) +[PDF](432.0KB)

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