Skip to main content
Post Reopened by Yemon Choi, ThiKu, Denis Nardin, Stefan Kohl, R.P.
added 430 characters in body
Source Link
mmaatthh
  • 799
  • 5
  • 10

N. Ladis and Kuiper gave the proofclassification of the topological equivalence of linear autonomous system. More precisely, they proved if two linear autonomous system $\dot{X}= AX, \dot{X}= BX$ are topologically equivalent, where $X\in \mathbb{R}^n$ and $A, B$ are real $n\times n$ matrices, then $A, B$ must satisfy some algebraic condition(which I do not want to state because it is a little bit long, but his articleit only depends on the algebraic property(like Jordan form etc) of the matrices $A, B$). My question is those two articles are hard to found, is there reference book or paper giving the proof in details? Thanks.

N. Ladis gave the proof of the topological equivalence of linear autonomous system, but his article is hard to found, is there reference book or paper giving the proof in details? Thanks.

N. Ladis and Kuiper gave the classification of the topological equivalence of linear autonomous system. More precisely, they proved if two linear autonomous system $\dot{X}= AX, \dot{X}= BX$ are topologically equivalent, where $X\in \mathbb{R}^n$ and $A, B$ are real $n\times n$ matrices, then $A, B$ must satisfy some algebraic condition(which I do not want to state because it is a little bit long, but it only depends on the algebraic property(like Jordan form etc) of the matrices $A, B$). My question is those two articles are hard to found, is there reference book or paper giving the proof in details? Thanks.

Post Closed as "Needs details or clarity" by Pietro Majer, Marco Golla, Stefan Kohl, Alexandre Eremenko, Franz Lemmermeyer
Source Link
mmaatthh
  • 799
  • 5
  • 10

the topological equivalence of linear autonomous system

N. Ladis gave the proof of the topological equivalence of linear autonomous system, but his article is hard to found, is there reference book or paper giving the proof in details? Thanks.