Results 31 to 40 of about 43,098 (261)

Threshold dynamics of a time periodic and two–group epidemic model with distributed delay

Mathematical Biosciences and Engineering, 2017
In this paper, a time periodic and two–group reaction–diffusion epidemic model with distributed delay is proposed and investigated. We firstly introduce the basic reproduction number $R_0$ for the model via the next generation operator method.
Lin Zhao, Zhi-Cheng Wang, Liang Zhang
doaj   +1 more source

Exponential stability and numerical simulation of a Bresse-Timoshenko system subject to a neutral delay

AIMS Mathematics, 2023
In the present work, we consider a one-dimensional Bresse-Timoshenko system with neutral delay term and a viscous damping acting on vertical displacement of the beam.
Houssem Eddine Khochemane, Ali Rezaiguia, Hasan Nihal Zaidi   +2 more
doaj   +1 more source

On the relationship between instability and Lyapunov times for the 3-body problem

, 2008
In this study we consider the relationship between the survival time and the Lyapunov time for 3-body systems. It is shown that the Sitnikov problem exhibits a two-part power law relationship as demonstrated previously for the general 3-body problem ...
D. C. Heggie, D. J. Urminsky, Lecar, Lecar, Levison, Mikkola, Morbidelli, Moser, Murison, Murray, Press, Soper, Urminsky   +12 more
core   +1 more source

The Lyapunov stability of the N-soliton solutions in the Lax hierarchy of the Benjamin-Ono equation

, 2006
The Lyapunov stability is established for the N-soliton solutions in the Lax hierarchy of the Benjamin-Ono (BO) equation. We characterize the N-soliton profiles as critical points of certain Lyapunov functional.
Vein R., Yoshimasa Matsuno
core   +1 more source

On Vector Lyapunov Functions [PDF]

Proceedings of the American Mathematical Society, 1971
It has been proved that the use of a vector Lyapunov function is more advantageous in certain situations rather than a scalar function. Moreover, each function needs to satisfy less rigid requirements. In this paper a new situation has been considered where vector Lyapunov functions play a further useful role. For this purpose, a new type of stability,
openaire   +1 more source

A mathematical and numerical study of an age-dependent transactivation model for dynamics of HIV infection

AIMS Mathematics
We analyze a mathematical model for the dynamics of HIV infection that incorporates an age-dependent transactivation rate and reversion into latency.
Luis X. Vivas-Cruz, Celia Martínez-Lázaro, Cruz Vargas-De-León   +2 more
doaj   +1 more source

A perspective on graph theory-based stability analysis of impulsive stochastic recurrent neural networks with time-varying delays

Advances in Difference Equations, 2019
In this work, the exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into consideration.
M. Iswarya, R. Raja, G. Rajchakit, J. Cao, J. Alzabut, C. Huang   +5 more
doaj   +1 more source

Phase diagram of the random frequency oscillator: The case of Ornstein-Uhlenbeck noise

, 2006
We study the stability of a stochastic oscillator whose frequency is a random process with finite time memory represented by an Ornstein-Uhlenbeck noise. This system undergoes a noise-induced bifurcation when the amplitude of the noise grows.
Anishchenko, Arnold, Aumaître, Bena, Berthet, Bourret, Bourret, Bray, Castro, Castro, Dubkov, Dykman, Ebeling, Gardiner, Hansel, Horsthemke, Huang, Hänggi, Hänggi, Hänggi, H’walisz, Imkeller, Jung, Kirone Mallick, Lindenberg, Lindenberg, Lücke, Lücke, Madureira, Mallick, Mallick, Mallick, Mallick, Marchesoni, Muñoz, Nayfeh, Nayfeh, Pierre-Emmanuel Peyneau, Pikovsky, Pétrélis, Rong, Rong, San Miguel, Schimansky-Geier, Tessieri, Tsironis, van Kampen, Wihstutz, Xie, Zillmer   +49 more
core   +3 more sources

Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field

Advanced Robotics Research, EarlyView.
This article proposes a local interaction‐based formation control method for Multi‐Agent system, integrating consensus and leader‐follower strategies with a stress response mechanism—artificial potential field to reduce communication overhead and enable obstacle avoidance. Experimental results on triangular, square, and hexagonal formations confirm its
Luoyin Zhao, Zheping Yan, Yuqing Wang, Raye Chen‐Hua Yeow   +3 more
wiley   +1 more source

Domain Patterns in the Microwave-Induced Zero-Resistance State

, 2005
It has been proposed that the microwave-induced ``zero-resistance'' phenomenon, observed in a GaAs two-dimensional electron system at low temperatures in moderate magnetic fields, results from a state with multiple domains, in which a large local ...
A. Auerbach, Amir Yacoby, Assa Auerbach, Bertrand I. Halperin, Ilya Finkler, J. Alicea, J. P. Gollub, M. C. Cross   +7 more
core   +1 more source