Physics 221A : Goodies

Document Author and Source
Pattern formation outside of equilibrium M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993)
Front propagation into unstable states W. van Saarloos, Phys. Rep. 386, 29 (2003)
Statistical theory of vehicular traffic and some related systems D. Chowdhury, L Santen, A. Schadschneider, Phys. Rep. 329, 199 (2000)

Dynamical model of traffic congestion

M. Bando et al., Phys. Rev. E 51, 1035 (1995)

The world of the complex Ginzburg-Landau equation

I. S. Aranson and L. Kramer, Rev. Mod. Phys. 74, 99 (2002)
Nonlinear oscillations Mathematica notebook DPA (adapted from various sources)
Spatial patterns and spatiotemporal dynamics in chemical systems A. De Wit, Adv. Chem. Phys. 109, 435 (1999)
Stability of Turing patterns in the Brusselator model B. Pena and C. Perez-Garcia, Phys. Rev. E 64, 056213 (2001)
Pattern formation in three-dimensional reaction-diffusion systems T. K. Callahan and E. Knobloch, Physica D 132, 339 (1999)
Steady-state solutions of hydrodynamic traffic models H. K. Lee, H.-W. Lee, and D. Kim, Phys. Rev. E 68, 016118 (2004)
Optimal-velocity models of motorway traffic P. Berg (Ph.D. thesis, Bristol, 2001)
Growth, innovation, scaling, and the pace of life in cities L. Bettencourt, J. Lobo, D. Helbing, C. Kuhnert, and G. B. West, PNAS 104, 7301 (2007)
Shocks, applications, Burgers' equation Chs. 2-4 of G. B. Whitham, Linear and Nonlinear Waves (Wiley, 1999)