draft version 0.8 - May 18 2004

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

Entire thesis

   pdf format (May 18 2004)

   ps.gz format

Chapter by chapter

   Contents

   * 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)

   References

   Thesis plan

   Editing instructions

Yueheng Lan