Monotone dynamical systems

Reflections on new advances & applications

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The article contains the author's reections on recent developments in a very select portion of the now vast subject of monotone dynamical systems. Continuous time systems generated by cooperative systems of ordinary differential equations, delay differential equations, parabolic partial differential equations, and control systems are the main focus and results are included which the author feels have had a major impact in the applications. These include the theory of competition between two species or two teams and the theory of monotone control systems.

Original languageEnglish (US)
Pages (from-to)485-504
Number of pages20
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume37
Issue number1
DOIs
StatePublished - Jan 1 2017

Fingerprint

Monotone Dynamical System
Dynamical systems
Control System
Monotone Systems
Control systems
Continuous time systems
Cooperative Systems
Continuous-time Systems
Parabolic Partial Differential Equations
Delay Differential Equations
System of Ordinary Differential Equations
Ordinary differential equations
Partial differential equations
Differential equations

Keywords

  • Competition between two teams
  • Monotone control systems
  • Monotone dynamical systems, cooperative systems
  • Quasi-convergence
  • Static input-state characteristic

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

Monotone dynamical systems : Reflections on new advances & applications. / Smith, Hal.

In: Discrete and Continuous Dynamical Systems- Series A, Vol. 37, No. 1, 01.01.2017, p. 485-504.

Research output: Contribution to journalArticle

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