====== Dustin Spieker's blogs ====== **Possible Courses I'm considering for SP2010 (Recommendations would be appreciated)** * Math 6646 - Numerical Methods for ODE's * ME 7751 - Numerical Methods for Fluids * Physics 8803 - Special Topics with Pablo Laguna (I think its a computational methods course) Comments, corrections, and answers appreciated. (append the latest posts to the bottom of appropriate section) [[:gtspring2009:spieker_blog:daily_blog|Daily Blog:]] daily updates of the triumphs and failures. [[:gtspring2009:spieker_blog:First_Steps|Getting Started:]] my first dabbling with the program, probably not worth looking at. [[:gtspring2009:spieker_blog:Eigenvectors|Eigenvectors:]] from the UB eigenvectors for ChaosBook to tables of properties of the various eigenvectors. [[:gtspring2009:spieker_blog:Spieker_PSection|Poincaré Sections:]] work so far on Poincaré sections. [[:gtspring2009:spieker_blog:Continuations:Lx|Continuations:]] Streamwise continuations, the summer of 2009. [[:gtspring2009:spieker_blog:correlationfcts|Correlation Functions]] [[:gtspring2009:spieker_blog:fokkerplanck|Fokker-Planck Equation]] [[:gtspring2009:spieker_blog:Itano|Itano Visualization]] [[:gtspring2009:spieker_blog:near_wall|Near Wall]] ====== Table of Solution Properties ====== ^ name ^ Re ^ D ^ L2Norm ^ Isotropy Subgroup ^ Σ λ+ ^ | EQ1 | 400 | 1.42926 | 0.209125 | Rxz | 0.050123 | | EQ2 | 400 | 3.04367 | 0.385806 | Rxz | 0.13007 | | EQ3 | 400 | 1.31768 | 0.125884 | Rxz | 0.051762 | | EQ4 | 400 | 1.45368 | 0.168116 | Rxz | 0.10849 | | EQ5 | 400 | 2.02013 | 0.218648 | Rxz | 0.24575 | | EQ6 | 330 | 2.81845 | 0.275125 | Rxz | | | EQ7 | 400 | 1.25225 | 0.093586 | Rxz x {e,τxz} | 0.080364 | | EQ8 | 400 | 1.76977 | 0.346590 | Rxz x {e,τxz} | | | EQ9 | 400 | 1.40475 | 0.156523 | S3 = {e,σxz}| | | EQ10 | 400 | 2.37207 | 0.328542 | S3 | | | EQ11 | 400 | 3.43223 | 0.404869 | S3 | | | EQ12 | 400 | 2.07134 | 0.303660 | S3 | | | EQ13 | 400 | 3.36118 | 0.404894 | S3 | | | EQ14 | 400 | 1.60344 | 0.240510 | S3 | 0.033852 | | EQ15 | 400 | 1.76297 | 0.268269 | S3 | 0.084577 | | EQ16 | 400 | 3.49153 | 0.333003 | R | 0.49640 | | EQ17 | 400 | 2.97947 | 0.291661 | R | 0.70251 | | EQ18 | 400 | 3.65963 | 0.325111 | R | 1.0039 | | EQ19 | 400 | 5.54202 | 0.427491 | Rz | 1.1758 | ====== ChaosBook.org reading ====== * [[chaosbook:discrete|World in a mirror]] * [[chaosbook:continuous|Relativity for cyclists]] * [[chaosbook:maps#sectionpoincare_sections|Poincaré section and return map]] * [[chaosbook:smale|Chapter: Qualitative dynamics, for cyclists]], mostly for Dustin or JohnG, whoever gets there first. Please blog in appropriate ChaosBook blog pages whatever conceptual difficulties you have on the way to constructing a return map for the upper branch.