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Discrete & Continuous Dynamical Systems - A

December 2010 , Volume 28 , Issue 4

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

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Measures related to metric complexity
Valentin Afraimovich, Lev Glebsky and Rosendo Vazquez
2010, 28(4): 1299-1309 doi: 10.3934/dcds.2010.28.1299 +[Abstract](952) +[PDF](170.9KB)
Homogenization and corrector theory for linear transport in random media
Guillaume Bal and Wenjia Jing
2010, 28(4): 1311-1343 doi: 10.3934/dcds.2010.28.1311 +[Abstract](1157) +[PDF](377.8KB)
On systems of differential equations with extrinsic oscillation
Marissa Condon, Alfredo Deaño and Arieh Iserles
2010, 28(4): 1345-1367 doi: 10.3934/dcds.2010.28.1345 +[Abstract](1199) +[PDF](1259.7KB)
Neural fields with sigmoidal firing rates: Approximate solutions
Stephen Coombes and Helmut Schmidt
2010, 28(4): 1369-1379 doi: 10.3934/dcds.2010.28.1369 +[Abstract](1138) +[PDF](248.2KB)
A general description of quantum dynamical spreading over an orthonormal basis and applications to Schrödinger operators
David Damanik and Serguei Tcheremchantsev
2010, 28(4): 1381-1412 doi: 10.3934/dcds.2010.28.1381 +[Abstract](888) +[PDF](342.8KB)
Charge-balanced spike timing control for phase models of spiking neurons
Per Danzl, Ali Nabi and Jeff Moehlis
2010, 28(4): 1413-1435 doi: 10.3934/dcds.2010.28.1413 +[Abstract](857) +[PDF](1246.4KB)
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: Global existence and asymptotic behavior
Marco Di Francesco, Alexander Lorz and Peter A. Markowich
2010, 28(4): 1437-1453 doi: 10.3934/dcds.2010.28.1437 +[Abstract](1290) +[PDF](227.1KB)
Poisson brackets, quasi-states and symplectic integrators
Michael Entov, Leonid Polterovich and Daniel Rosen
2010, 28(4): 1455-1468 doi: 10.3934/dcds.2010.28.1455 +[Abstract](1038) +[PDF](204.4KB)
New insights into the classical mechanics of particle systems
Eliot Fried
2010, 28(4): 1469-1504 doi: 10.3934/dcds.2010.28.1469 +[Abstract](1283) +[PDF](423.1KB)
Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations
Jeremy L. Marzuola and Michael I. Weinstein
2010, 28(4): 1505-1554 doi: 10.3934/dcds.2010.28.1505 +[Abstract](1239) +[PDF](2722.6KB)
Stable and unstable periodic orbits in complex networks of spiking neurons with delays
Raoul-Martin Memmesheimer and Marc Timme
2010, 28(4): 1555-1588 doi: 10.3934/dcds.2010.28.1555 +[Abstract](1432) +[PDF](434.0KB)
Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles
Jason Metcalfe and Christopher D. Sogge
2010, 28(4): 1589-1601 doi: 10.3934/dcds.2010.28.1589 +[Abstract](943) +[PDF](184.2KB)
Discrete and continuous random water wave dynamics
André Nachbin
2010, 28(4): 1603-1633 doi: 10.3934/dcds.2010.28.1603 +[Abstract](955) +[PDF](4293.5KB)
Local well-posedness in low regularity of the MKDV equation with periodic boundary condition
Kenji Nakanishi, Hideo Takaoka and Yoshio Tsutsumi
2010, 28(4): 1635-1654 doi: 10.3934/dcds.2010.28.1635 +[Abstract](1020) +[PDF](277.3KB)
Blow-up in a subdiffusive medium with advection
W. Edward Olmstead, Colleen M. Kirk and Catherine A. Roberts
2010, 28(4): 1655-1667 doi: 10.3934/dcds.2010.28.1655 +[Abstract](1159) +[PDF](195.4KB)
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
Jie Shen and Xiaofeng Yang
2010, 28(4): 1669-1691 doi: 10.3934/dcds.2010.28.1669 +[Abstract](2300) +[PDF](382.7KB)
Oscillator and thermostat
Dmitry Treschev
2010, 28(4): 1693-1712 doi: 10.3934/dcds.2010.28.1693 +[Abstract](887) +[PDF](254.8KB)
Analytical proof of space-time chaos in Ginzburg-Landau equations
Dmitry Turaev and Sergey Zelik
2010, 28(4): 1713-1751 doi: 10.3934/dcds.2010.28.1713 +[Abstract](1102) +[PDF](512.6KB)
Stochastic approximation and a nonlocally weighted soft-constrained recursive algorithm for blind separation of reverberant speech mixtures
Meng Yu and Jack Xin
2010, 28(4): 1753-1767 doi: 10.3934/dcds.2010.28.1753 +[Abstract](977) +[PDF](1751.4KB)

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