Dynamical systems approach to 1-d spatiotemporal chaos -- A cyclist's view
Yueheng Lan
Ph D Thesis
School of Physics
Georgia Institute of Technology
Atlanta, GA
* Introduction: From dynamical systems to periodic orbit theory (95% finished, 8 June 2004)
* Periodic orbit theory (95% finished, 18 May 2004)
* Periodic orbits and how to find them (95% finished, 18 May 2004)
* Complex Ginzburg-Landau equation (98% finished, 8 June 2004)
* 1-d Kuramoto-Sivashinsky equation and its steady solutions (95% finished, 8 June 2004)
* Spatiotemporal dynamics of the 1-d Kuramoto-Sivashinsky equation (90% finished, 8 June 2004)
* Summary (90% finished, 18 May 2004)
A Remarks on the Jacobians for a general flow (90% finished, 18 May 2004)
B Comparison of Newton descent with variational principle in Hamiltonian system (90% finished, 18 May 2004)
C Existence of modulated amplitude waves (90% finished, 18 May 2004)
Yueheng Lan