MORSE SPECTRUM FOR NONAUTONOMOUS DIFFERENTIAL EQUATIONS
2008 ◽
Vol 08
(03)
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pp. 351-363
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Keyword(s):
The Past
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The concept of a Morse decomposition consisting of nonautonomous sets is reviewed for linear cocycle mappings w.r.t. the past, future and all-time convergences. In each case, the set of accumulation points of the finite-time Lyapunov exponents corresponding to points in a nonautonomous set is shown to be an interval. For a finest Morse decomposition, the Morse spectrum is defined as the union of all of the above accumulation point intervals over the different nonautonomous sets in such a finest Morse decomposition. In addition, Morse spectrum is shown to be independent of which finest Morse decomposition is used, when more than one exists.
2012 ◽
Vol 390
(1)
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pp. 27-46
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Keyword(s):
2010 ◽
Vol 18
(1-2)
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pp. 57-78
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2016 ◽
Vol 29
(4)
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pp. 1459-1485
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2010 ◽
Vol 60
(7)
◽
pp. 1948-1958
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1994 ◽
Vol 345
(1)
◽
pp. 223-241
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1998 ◽
Vol 09
(06)
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pp. 653-668
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Keyword(s):
2003 ◽
Vol 6
◽
pp. 297-313
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