Abstract
In this paper we study smooth classification of hyperbolic vector fields based on their linear approximations only and obtain the following. On Rn, n⩽5, with only two kinds of exceptions, any two hyperbolic vector fields with generic nonlinear parts ẋ=A1x+⋯ and ẏ=A1y+⋯, where Ai are n×n matrices, are C1 conjugate to each other if and only if A1 and A2 are strictly similar, and they are C1 orbitally equivalent if and only if A1 and A2 are similar.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
