Timeline for the topological equivalence of linear autonomous system

Current License: CC BY-SA 3.0

12 events

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Dec 27, 2016 at 0:46	comment	added	mmaatthh		@ Jairo Bochi, the condition is the dimension of generalized eigenspace of $A$ with respect to eigenvalues, whose real part is positive (negative), must be equal to the dimension of generalized eigenspace of $B$ with respect to eigenvalues, whose real part is positive (negative). And the generalized eigenspace of $A$ with respect to eigenvalues, whose real part is $0$, denoted as $W_0(A)$, $A\|_{W_0(A)}$ is linearly equivalent to $B_{W_0(B)}$, where $W_0(B)$ is defined similarly as $W_0(A)$.
Dec 25, 2016 at 14:04	comment	added	Jairo Bochi		Now I'm curious about this condition. Could you state it? It would make your question more useful, at least.
Dec 25, 2016 at 12:48	history	reopened	Yemon Choi ThiKu Denis Nardin Stefan Kohl♦ R.P.
Dec 25, 2016 at 9:10	comment	added	mmaatthh		I checked Robinson's book, it only dealt with hyperbolic case, similar for Simon's lecture notes, so far it seems that there is not details proof except Ladis or Kuiper's papers on this.
Dec 25, 2016 at 5:34	comment	added	ThiKu		It should be in Robinson's book "Dynamical Systems: Stability, Symbolic Dynamics, and Chaos". An online source is section 2.3.3 of cs.elte.hu/~simonp/dynsysdiffeq.pdf which gives a complete proof.
Dec 25, 2016 at 3:48	review	Reopen votes
Dec 25, 2016 at 12:51
Dec 25, 2016 at 3:29	history	edited	mmaatthh	CC BY-SA 3.0	added 430 characters in body
Dec 24, 2016 at 6:11	history	closed	Pietro Majer Marco Golla Stefan Kohl♦ Alexandre Eremenko Franz Lemmermeyer		Needs details or clarity
Dec 23, 2016 at 9:44	review	Close votes
Dec 24, 2016 at 6:11
S Dec 23, 2016 at 3:59	history	suggested	BigM		added proper tag
Dec 23, 2016 at 3:12	review	Suggested edits
S Dec 23, 2016 at 3:59
Dec 23, 2016 at 2:18	history	asked	mmaatthh	CC BY-SA 3.0