Ulam method for the Chirikov standard map
by Klaus M. Frahm and Dima L. Shepelyansky
arXiv:1004.1349







 






Two eigenmodes of the Chirikov standard map at K=0.971635406 

obtained by the generalized Ulam method











 
      
 		



   Final paper version
       (here)
     



    High resolution figures for
      the paper: download  figs.tgz,
       figs.zip
     



    Eigenmodes of
the Chirikov standard map at K=0.971635406: 

download  figschirikovkg.tgz,
       figschirikovkg.zip
     


    Eigenmodes of
the Chirikov standard map at K=7: 

download  figschirikovk7.tgz,
       figschirikovk7.zip
     


    Eigenmodes of
the separatrix map at 3.1819316: 

download  figssepx.tgz,
       figssepx.zip
     


    Upadate and Related work: 

     "Poincare recurrences
  and Ulam method for the Chirikov standard map" arXiv:1302.2761[nlin.CD]; 
download  paper 


  Video for Chirikov standard map
       (here) and separatrix map
        (here)
 (vlc recommended)
     


   Figs related to video
         for Chirikov standard map  (here)
         and separatrix map
        (here)
         


   Figs of first 50 eigenmodes 
         for absorption cases
         for Chirikov standard map  (here)
         and separatrix map
        (here)
         




This webpage is created at April 8, 2010,
updated February 12, 2013, it is maintained 
by Klaus Frahm and  Dima Shepelyansky