zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Integrability and linearizability of the Lotka-Volterra system with a saddle point with rational hyperbolicity ratio. (English) Zbl 1054.34049
This paper deals with normalizability, integrability and linearizability properties of a Lotka-Volterra system in a neighborhood of a singular point with eigenvalues 1 and -λ. The results are obtained by generalizing and extending two methods already known: the power expansion of the first integral or of the linearizing transformation and the transformation of a saddle into a node. Using these methods, the authors derive sufficient conditions for λ + or λ to obtain all integrable and linearizable systems for λ=p/2 and 2/p with p + .
34C05Location of integral curves, singular points, limit cycles (ODE)
34C20Transformation and reduction of ODE and systems, normal forms