A~contribution to the problem of the structure of an extended neighborhood of a~rough equilibrium state of saddle-focus type
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 91-102
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			It is shown that in a neighborhood of a trajectory which is doubly asymptotic to a rough state of equilibrium of saddle-focus type, under addition assumptions on the dynamical system, there exists a subsystem whose trajectories are in one-to-one correspondence with a set which is the quotient space of a topological Bernoulli process with an infinite set of symbols.
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      @article{SM_1970_10_1_a6,
     author = {L. P. Shilnikov},
     title = {A~contribution to the problem of the structure of an extended neighborhood of a~rough equilibrium state of saddle-focus type},
     journal = {Sbornik. Mathematics},
     pages = {91--102},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_10_1_a6/}
}
                      
                      
                    TY - JOUR AU - L. P. Shilnikov TI - A~contribution to the problem of the structure of an extended neighborhood of a~rough equilibrium state of saddle-focus type JO - Sbornik. Mathematics PY - 1970 SP - 91 EP - 102 VL - 10 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1970_10_1_a6/ LA - en ID - SM_1970_10_1_a6 ER -
%0 Journal Article %A L. P. Shilnikov %T A~contribution to the problem of the structure of an extended neighborhood of a~rough equilibrium state of saddle-focus type %J Sbornik. Mathematics %D 1970 %P 91-102 %V 10 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1970_10_1_a6/ %G en %F SM_1970_10_1_a6
L. P. Shilnikov. A~contribution to the problem of the structure of an extended neighborhood of a~rough equilibrium state of saddle-focus type. Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 91-102. http://geodesic.mathdoc.fr/item/SM_1970_10_1_a6/
