Title
Nonexistence and partial existence of first integrals for diffeomorphisms
Abstract
In this paper, we first present a necessary condition for diffeomorphisms to have formal first integrals. Moreover, we consider diffeomorphisms which have some nontrivial formal integrals. Under certain conditions, we show that the diffeomorphism does not admit any other formal integral in the sense of functionally independent first integrals.
Year
DOI
Venue
2010
10.1016/j.aml.2009.11.006
Applied Mathematics Letters
Keywords
Field
DocType
First integrals,Diffeomorphism,Integrability,Partial integrability
Mathematical analysis,Order of integration (calculus),Functionally independent,Mathematics,Diffeomorphism,First integrals
Journal
Volume
Issue
ISSN
23
4
0893-9659
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Zhiguo Xu112412.06
Shaoyun Shi201.69
Fang Liu341.98