World Scientific
Skip main navigation

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More
×
Spring Sale: Get 35% off with a min. purchase of 2 titles. Use code SPRING35. Valid till 31st Mar 2025.

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
No Access

MONOTONICITY OF DYNAMICAL SYSTEMS AND THEIR DISCRETIZATIONS

    https://doi.org/10.1142/9789812770752_0023Cited by:0 (Source: Crossref)
    Previous
    Next
    Abstract:

    Monotonicity of dynamical systems is proven to be a very powerful means to discover long term behaviour of continuous-time and discrete-time dynamical systems. In this paper we consider monotone continuous-time dynamical systems and their discretizations with Runge-Kutta methods. We study the parameters of the discretization method that guarantee monotone discrete-time system as a result. In case of a general class of polyhedral order cones we conclude a simple and practically useful formula for the step sizes that ensure discrete monotonicity.