Results 41 to 50 of about 695 (203)

Epidemiological Models and Lyapunov Functions [PDF]

Mathematical Modelling of Natural Phenomena, 2007
Summary: We give a survey of results on global stability for deterministic compartmental epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a simple proof. By the same methods we also give a new result on differential susceptibility and infectivity models with mass action and an arbitrary number of compartments ...
A. Fall, A., Iggidr, Abderrahman, Sallet, Gauthier, Tewa, Jean-Jules   +3 more
openaire   +3 more sources

Quantum‐Like Dynamics in Whole‐Brain Models of the Human Connectome

Advanced Science, EarlyView.
Quantum‐like dynamics in the human brain. The level of quantum‐like behavior in a non‐quantum system of coupled oscillators is regulated by the spectral gap of the coupling graph. Whole‐brain modelling using QL fits the empirical data significantly better and has a lower model‐derived energy cost than the non‐QL model.
Gustavo Deco, Yonatan Sanz Perl, Natasha Greenstein, Shamil Chandaria, Gregory Scholes, Morten L. Kringelbach   +5 more
wiley   +1 more source

Stability Analysis of Linear Time-Varying Delay Systems via a Novel Augmented Variable Approach

Mathematics
This paper investigates the stability issues of time-varying delay systems. Firstly, a novel augmented Lyapunov functional is constructed for a class of bounded time-varying delays by introducing new double integral terms.
Wenqi Liao, Hongbing Zeng, Huichao Lin
doaj   +1 more source

A New Slack Lyapunov Functional for Dynamical System with Time Delay

Mathematics, 2022
The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao, Kaibo Shi, Yiqian Tang, Shouming Zhong   +3 more
doaj   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Boundedness in functional dynamic equations on time scales

Advances in Difference Equations, 2006
Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales.
Raffoul Youssef N, Akin-Bohner Elvan
doaj  

Stability, bifurcation and transition to chaos in a model of immunosensor based on lattice differential equations with delay

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In the work we proposed the model of immunosensor, which is based on the system of lattice differential equations with delay. The conditions of local asymptotic stability for endemic state are gotten.
Vasyl Martsenyuk, Aleksandra Kłos-Witkowska, Andriy Sverstiuk   +2 more
doaj   +1 more source

Exploiting Ferroelectric and Spintronic Dynamics for Neural Network Computation

Advanced Intelligent Systems, EarlyView.
Ferroelectric and spintronic devices, relying on the control of polarization and magnetization, offer intrinsically fast, durable, energy‐efficient, and low‐latency building blocks for analog in‐memory computing. The hysteretic dynamics of an order parameter are leveraged to provide nonvolatile, multistate memory and nonlinear switching. Brain‐inspired
Dashiell Harrison, Kevin Nadaud, Josquin Harrison, Guillaume F. Nataf, Laura Bégon‐Lours   +4 more
wiley   +1 more source

Robust exponential stability of nonlinear impulsive switched systems with time-varying delays

Nonlinear Analysis, 2012
This paper deals with a class of uncertain nonlinear impulsive switched systems with time-varying delays. A novel type of piecewise Lyapunov functionals is constructed to derive the exponential stability. This type of functionals can efficiently overcome
Xiu Liu, Shouming Zhong, Xiuyong Ding
doaj  

Asymptotic Stabilization of Oilwell Drillstring Torsional and Axial Vibrations

Mathematics
This paper takes as its starting point the distributed parameter models for both torsional and axial vibrations of the oilwell drillstring. While integrating several accepted features, the considered models are deduced following the Hamilton variational ...
Daniela Danciu, Vladimir Răsvan
doaj   +1 more source