# channelflow.org

### Site Tools

plugin:clearfloat

# Differences

This shows you the differences between two versions of the page.

 plugin:clearfloat [2009/01/28 08:02]predrag created clearfloat - but it is not floating as yet... plugin:clearfloat [2010/02/02 07:55] (current) 2009/01/28 14:30 predrag 2009/01/28 08:02 predrag created clearfloat - but it is not floating as yet... Next revision Previous revision 2009/01/28 14:30 predrag 2009/01/28 08:02 predrag created clearfloat - but it is not floating as yet... Line 1: Line 1: ====== Clearfloat test ====== ====== Clearfloat test ====== - {{:​escrates.png?​248|}} + {{:​escrates.png?​248 |}} - The escape rate $\gamma$ of the repeller + + The escape rate <​latex>​\gamma ​of the repeller plotted as function of number of partition intervals $N$, plotted as function of number of partition intervals $N$, estimated using: estimated using: (<​latex>​\color{blue}\blacklozenge​) under-resolved 4-interval and (<​latex>​\color{blue}\blacklozenge​) under-resolved 4-interval and the  7-interval optimal partition',​ the  7-interval optimal partition',​ - ({\Large ​$\color{red}\bullet$}) all periodic orbits of periods + (<​latex>​{\Large \color{red}\bullet}​) all periodic orbits of periods - up to $n=8$ in the deterministic,​ binary symbolic dynamics, + up to <​latex>​n=8 ​in the deterministic,​ binary symbolic dynamics, - with $N_i=2^n$ periodic-point intervals (the deterministic,​ + with <​latex>​N_i=2^n ​periodic-point intervals (the deterministic,​ noiseless escape rate is <​latex>​\gamma_{det} = 0.7011​),​ and noiseless escape rate is <​latex>​\gamma_{det} = 0.7011​),​ and - ({\scriptsize ​$\blacksquare$}) a uniform discretization + (<​latex>​{\scriptsize \blacksquare}​) a uniform discretization - in $N=16,​\cdots,​ 256$ intervals. For $N=512$ + in <​latex>​N=16,​\cdots,​ 256 ​intervals. For <​latex>​N=512​ - discretization yields ​$\gamma_{num} = 0.73335(4)$. + discretization yields ​<​latex>​\gamma_{num} = 0.73335(4)​. - ~~CL~~ + ~~CL~~ this is supposed not to float... this is supposed not to float... 