By Roy Adler, Brian Marcus (auth.), Nelson G. Markley, John C. Martin, William Perrizo (eds.)
ISBN-10: 354008925X
ISBN-13: 9783540089254
ISBN-10: 3540357513
ISBN-13: 9783540357513
Read Online or Download The Structure of Attractors in Dynamical Systems: Proceedings, North Dakota State University, June 20–24, 1977 PDF
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Extra info for The Structure of Attractors in Dynamical Systems: Proceedings, North Dakota State University, June 20–24, 1977
Sample text
A nonperiodic equations, a strange (topologically infinitely [3] to h a v e they dimensional Investigating and T a k e n s sets n r some ~. it is the r e t u r n the folds~ in Jacobian of one d i m e n s i o n The the to the whieh to be an a t t r a c t o r , differential transverse go to be p o s s i b l e be a n parameter increased Ruelle T4 set w o u l d stress would to d e s c r i b e ordinary surfaces n situation, it w o u l d vestigate as the system was four bifurcations "strange attracting in or m a p Rn has on the Rn same is d y n a m i c a l l Y positive limit set c a n be a s i n g l e defines ergodic in a w a y t h a t subset meaning of the region of the w o r d point of attraction.
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X) Thurston it w o u l d 0 proposition "blowing topy is 2. for = h-le(y)h Suppose some GR(~ t. on GR(e for F then on Fj/Fj+ I some h E 8, is n i l p o t e n t )l/j then (and GR(~) finitely Then F) : max 0 _k_t GR(~ on F k / F k + l ) . = GR(e). , 26 Proof: The We w i l l prove GR(e F) on proposition F/F t . can Onc only have on Ft). GR(c Fix m = will has that max then LHS Let on F / F t ) , follow _> R H S smaller and {GR(e by growth by (4) a b o v e rate. length M = m< 'aThe Structure of Attractors in Dynamical Systems: Proceedings, North Dakota State University, June 20–24, 1977 by Roy Adler, Brian Marcus (auth.), Nelson G. Markley, John C. Martin, William Perrizo (eds.)
by Donald
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