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Monotone dynamical systems :an intro...

Smith, Hal L.

Monotone dynamical systems :an introduction to the theory of competitive and cooperative systems /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Monotone dynamical systems :Hal L. Smith.
Reminder of title:	an introduction to the theory of competitive and cooperative systems /
Author:	Smith, Hal L.
Published:	Providence, R.I. :American Mathematical Society,�1995.
Description:	x, 174 pages :illustrations ;27 cm.
Subject:	Differentiable dynamical systems.
Online resource:	Kostenfrei
ISBN:	082180393X

Monotone dynamical systems :an introduction to the theory of competitive and cooperative systems /
Smith, Hal L.

Monotone dynamical systems :an introduction to the theory of competitive and cooperative systems /Hal L. Smith. - Providence, R.I. :American Mathematical Society,�1995. - x, 174 pages :illustrations ;27 cm. - Mathematical surveys and monographs ;v. 41. - Mathematical surveys and monographs ;no. 175..

Includes bibliographical references (pages 167-171) and index.

Ch. 1. Monotone Dynamical Systems. 2. The Convergence Criterion. 3. The Limit Set Dichotomy. 4. Quasiconvergence is Generic -- Ch. 2. Stability and Convergence. 1. Stability. 2. The Order Interval Trichotomy. 3. Some Global Results. 4. Generic Convergence to Equilibrium. 5. Unstable Equilibria and Connecting Orbits -- Ch. 3. Competitive and Cooperative Differential Equations. 1. The Kamke Condition. 2. Positively Invariant Sets and Monotone Solutions. 3. Main Results. 4. Three Dimensional Systems. 5. Alternative Cones. 6. The Field-Noyes Model -- Ch. 4. Irreducible Cooperative Systems. 1. Strong Monotonicity. 2. A Biochemical Control Circuit. 3. Stability and the Perron-Frobenius Theorem. 4. Competition and Migration. 5. Smale's Construction -- Ch. 5. Cooperative Systems of Delay Differential Equations. 1. The Quasimonotone condition. 2. Positively Invariant Sets, Monotone Solutions, and Contracting Rectangles. 3. Eventual Strong Monotonicity.

A treatment of a rapidly developing area with many potential applications: the theory of monotone dynamical systems and the theory of competitive and co-operative differential equations. The aim is to provide users of the theory with techniques, results, and ideas useful in applications.

ISBN: 082180393X

LCCN: 94048032

Nat. Bib. No.: GB9752828bnbSubjects--Topical Terms:

183764
Differentiable dynamical systems.

LC Class. No.: QA614.8 / .S63 1995

Dewey Class. No.: 515/.352

Universal Decimal Class. No.: 516.148

Monotone dynamical systems :an introduction to the theory of competitive and cooperative systems /
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