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In this paper, we proposed a population model depicting the dynamics of a prey species showing group defence against a generalist predator. The group defence characteristic is represented by a non-monotonic functional response. We have…

Dynamical Systems · Mathematics 2022-09-09 R. R. Patra , S. Maitra , S. Kundu

In the optimal velocity model with a time lag, we show that there appear multiple exact solutions in some ranges of car density, describing a uniform flow, a stable and an unstable congested flows. This establishes the presence of…

patt-sol · Physics 2007-05-23 Yuji Igarashi , Katsumi Itoh , Ken Nakanishi , Kazuhiro Ogura , Ken Yokokawa

Let us give a two dimensional family of real vector fields. We suppose that there exists a stationary point where the linearized vector field has successively a stable focus, an unstable focus and an unstable node. When the parameter moves…

Dynamical Systems · Mathematics 2009-01-20 Eric Benoît

Nowadays distributed computing approach has become very popular due to several advantages over the centralized computing approach as it also offers high performance computing at a very low cost. Each router implements some queuing mechanism…

Networking and Internet Architecture · Computer Science 2019-10-10 Taskeen Zaidi , Nitya Nand Dwivedi

Two types of general nonlinear consensus protocols are considered in this paper, namely the systems with nonlinear measurement and communication of the agents' states, respectively. The solutions of the systems are understood in the sense…

Optimization and Control · Mathematics 2016-04-14 Jieqiang Wei , Xinlei Yi , Henrik Sandberg , Karl Henrik Johansson

Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This paper provides a Lyapunov-based proof that, under a time-scale…

Optimization and Control · Mathematics 2020-03-11 John W. Simpson-Porco

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. In this work, two methods…

Dynamical Systems · Mathematics 2018-05-25 Verónica E. Pastor , Graciela González

Robustly compensating network constraints such as delays and packet dropouts in networked control systems is crucial for remotely controlling dynamical systems. This work proposes a novel prediction consistent method to cope with delays and…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Severin Beger , Sandra Hirche

We summarize the main results proved in recent work on the parameterized verification of safety properties for ad hoc network protocols. We consider a model in which the communication topology of a network is represented as a graph. Nodes…

Logic in Computer Science · Computer Science 2011-08-10 Giorgio Delzanno , Arnaud Sangnier , Gianluigi Zavattaro

We present several topics involving the computation of dynamical systems. The emphasis is on work in progress and the presentation is informal -- there are many technical details which are not fully discussed. The topics are chosen to…

chao-dyn · Physics 2008-02-03 John Guckenheimer , Patrick Worfolk

Modern control systems must operate in increasingly complex environments subject to safety constraints and input limits, and are often implemented in a hierarchical fashion with different controllers running at multiple time scales. Yet…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Noel Csomay-Shanklin , Andrew J. Taylor , Ugo Rosolia , Aaron D. Ames

In this paper mechanisms of reversion - momentum transition are considered. Two basic nonlinear mechanisms are highlighted: a slow and fast bifurcation. A slow bifurcation leads to the equilibrium evolution, preceded by stability loss delay…

Statistical Finance · Quantitative Finance 2016-01-06 Sergey Kamenshchikov

The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework…

Optimization and Control · Mathematics 2021-09-14 Siddharth Bhela , Harsha Nagarajan , Deepjyoti Deka , Vassilis Kekatos

The logistic two-gene negative-feedback oscillator is locally asymptotically stable for all biological parameter values, since the trace of the Jacobian is uniformly negative. Real biological oscillators (circadian rhythms, the segmentation…

Dynamical Systems · Mathematics 2026-05-25 Ismail Belgacem

On a two-dimensional circular domain, we analyze the formation of spatio-temporal patterns for a class of coupled bulk-surface reaction-diffusion models for which a passive diffusion process occurring in the interior bulk domain is linearly…

Pattern Formation and Solitons · Physics 2020-08-11 Frédéric Paquin-Lefebvre , Wayne Nagata , Michael J. Ward

We study the dynamics of belief formation on multiple interconnected topics in networks of agents with a shared belief system. We establish sufficient conditions and necessary conditions under which sustained oscillations of beliefs arise…

Optimization and Control · Mathematics 2023-03-24 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

This is a preliminary study for bifurcation in fractional order dynamical systems. Stability, persistence and hopf bifurcation are studied. Some studies are also done for functional equations.

Cellular Automata and Lattice Gases · Physics 2008-01-09 Hala El-Saka , E. Ahmed , M. I. Shehata , A. M. A. -El-Sayed

We are concerned with random ordinary differential equations (RODEs). Our main question of interest is how uncertainties in system parameters propagate through the possibly highly nonlinear dynamical system and affect the system's…

Dynamical Systems · Mathematics 2021-08-30 Christian Kuehn , Kerstin Lux

In time-varying wireless networks, the states of the communication channels are subject to random variations, and hence need to be estimated for efficient rate adaptation and scheduling. The estimation mechanism possesses inaccuracies that…

Networking and Internet Architecture · Computer Science 2010-10-05 Wenzhuo Ouyang , Sugumar Murugesan , Atilla Eryilmaz , Ness B. Shroff

In this paper, a global stability analysis is given for a rate-based congestion control system modeled by a nonlinear delayed differential equation. The model determines the dynamics of a single-source single-link network, with a…

Networking and Internet Architecture · Computer Science 2009-06-29 B. Rezaie , MR. Jahed Motlagh , M. Analoui , S. Khorsandi