Document Zbl 0624.58017

Structured Search

Help

Examples

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.

Fields

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)

Operators

a & b	logic and
a \| b	logic or
!ab	logic not
abc*	right wildcard
"ab c"	phrase
(ab c)	parentheses

Hirsch, Morris W.

Stability and convergence in strongly monotone dynamical systems. (English) Zbl 0624.58017

J. Reine Angew. Math. 383, 1-53 (1988).

Some dynamical systems enjoy a strong comparison principle; these include quasilinear second-order parabolic equations and cooperative vector fields. Under fairly general conditions it is shown that such systems are nonchaotic: most orbits with compact closure are asymptotic to the set of stationary points, and most orbits are Lyapunov stable. Applications are made to various classes of ordinary and partial differential equations.

Cited in 4 Reviews

Cited in 170 Documents

MSC:

37C75

Stability theory for smooth dynamical systems

Keywords:

quasilinear second-order parabolic equations; orbits; stationary points; Lyapunov stable

PDF BibTeX XML Cite

Full Text: DOI Crelle EuDML