Results 1 to 10 of about 15,100 (198)

Transit times and mean ages for nonautonomous and autonomous compartmental systems [PDF]

open access: yesJournal of Mathematical Biology, 2016
We develop a theory for transit times and mean ages for nonautonomous compartmental systems. Using the McKendrick-von F\"orster equation, we show that the mean ages of mass in a compartmental system satisfy a linear nonautonomous ordinary differential ...
Agusto, Folashade B.   +10 more
core   +5 more sources

Metric Entropy of Nonautonomous Dynamical Systems [PDF]

open access: yesNonautonomous Dynamical Systems, 2014
We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence (Xn; μn) of probability spaces and a sequence of measurable maps fn : Xn → Xn+1 with fnμn = μn+1.
Kawan Christoph
doaj   +6 more sources

Persistence of nonautonomous logistic system with time-varying delays and impulsive perturbations

open access: yesNonlinear Analysis, 2020
In this paper, we develop the impulsive control theory to nonautonomous logistic system with time-varying delays. Some sufficient conditions ensuring the persistence of nonautonomous logistic system with time-varying delays and impulsive perturbations ...
Dan Yang   +3 more
doaj   +1 more source

On the Proper Treatment of Dynamics in Cognitive Science

open access: yesTopics in Cognitive Science, EarlyView., 2023
Abstract This essay examines the relevance of dynamical ideas for cognitive science. On its own, the mere mathematical idea of a dynamical system is too weak to serve as a scientific theory of anything, and dynamical approaches within cognitive science are too rich and varied to be subsumed under a single “dynamical hypothesis.” Instead, after first ...
Randall D. Beer
wiley   +1 more source

Reasons for nonlinearity: globality and noncommutativity [PDF]

open access: yesКомпьютерные исследования и моделирование, 2009
A dynamic process modeled by ordinary differential equations is considered. If a nonautonomous system of ordinary differential equations has a general solution in a certain area, than the system can be simplified by nonautonomous substitution of ...
Gennadii Nikolaevich Yakovenko
doaj   +1 more source

Coupled nonautonomous inclusion systems with spatially variable exponents

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
A family of nonautonomous coupled inclusions governed by $p(x)$-Laplacian operators with large diffusion is investigated. The existence of solutions and pullback attractors as well as the generation of a generalized process are established.
Peter Kloeden, Jacson Simsen
doaj   +1 more source

Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

open access: yesComplexity, 2021
In this paper, we investigate the global exponential stability and periodicity of nonautonomous cellular neural networks with reaction-diffusion, impulses, and time-varying delays.
Weiyi Hu, Kelin Li
doaj   +1 more source

Coordination of a Flywheel Energy Storage Matrix System: An External Model Approach

open access: yesIEEE Access, 2021
This paper studies the coordination of a heterogenous flywheel energy storage matrix system aiming at simultaneous reference power tracking and state-of-energy balancing.
Haiming Liu   +3 more
doaj   +1 more source

Global stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response

open access: yesJournal of Biological Dynamics, 2020
In this paper, we consider a nonautonomous predator-prey system with Beddington-DeAngelis functional response and explore the global stability of boundary solution.
Dingyong Bai, Jinshui Li, Wenrui Zeng
doaj   +1 more source

A Novel Output-Feedback Controller for Non-Square MIMO Nonautonomous Nonlinear Systems With Unstructured Uncertainties Using Higher-Order Switching Differentiator

open access: yesIEEE Access, 2023
A novel output-feedback controller is proposed for multi-input multi-output (MIMO) nonautonomous nonlinear systems with unstructured uncertainties.
Jang-Hyun Park
doaj   +1 more source

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