Asymptotic behavior of solutions to single loop positive feedback systems
Reads0
Chats0
About:
This article is published in Journal of Differential Equations.The article was published on 1980-10-01 and is currently open access. It has received 76 citations till now. The article focuses on the topics: Positive feedback.read more
Citations
More filters
Book
Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems
TL;DR: Monotone dynamical systems Stability and convergence Competitive and cooperative differential equations Irreducible cooperative systems Cooperative systems of delay differential equations Nonquasimonotone delay differential equation Quasimonoteone systems of parabolic equations A competition model Appendix Bibliography as discussed by the authors
4. Monotone Dynamical Systems
Morris W. Hirsch,Hal L. Smith +1 more
TL;DR: In this article, a restricted but useful class of dynamical systems enjoying a comparison-principle with respect to a closed order relation on the state space is surveyed, variously called monotone, order-preserving or increasing.
Journal ArticleDOI
Stability and convergence in strongly monotone dynamical systems.
TL;DR: In this article, the authors decrit qualitativement le comportement asymptotique quand t→∞ des trajectoires t→Φ t x for les etats initiaux x, dans le cas de systemes ayant un principe de comparaison fort
Journal ArticleDOI
The dynamical systems approach to differential equations
TL;DR: Spivak as discussed by the authors introduced dynamical systems to differential geometry, and showed that it is the natural outcome of a much broader theme which is as old as science itself: the universe is a sytem which changes in time.
Book ChapterDOI
Monotone Dynamical Systems
TL;DR: In this article, Strongly Order-Preserving Semiflows 6 1.1 Strongly order-preserving semiflow 6 1 1.2 Nonordering of Omega Limit Sets 12 1.5 Q is plentiful.
References
More filters
Book
Ordinary differential equations
TL;DR: In this article, the Poincare-Bendixson theory is used to explain the existence of linear differential equations and the use of Implicity Function and fixed point Theorems.
Book ChapterDOI
Differentiable dynamical systems
TL;DR: A survey article on the area of global analysis defined by differentiable dynamical systems or equivalently the action (differentiable) of a Lie group G on a manifold M is presented in this paper.
Book
Differential Equations: Geometric Theory
TL;DR: Bargaining with reading habit is no need as mentioned in this paper, reading is not kind of something sold that you can take or not, it is a thing that will change your life to life better.
Journal ArticleDOI
Stable manifolds for hyperbolic sets
Morris W. Hirsch,Charles Pugh +1 more
TL;DR: In this paper, the stable manifold theory is generalized to hyperbolic sets, where a stable set is defined as a set whose spectrum is separated by the unit circle of the manifold.