Hopf bifurcation analysis on an Internet congestion control system of arbitrary dimension with communication delay

Rezaie, Behrooz; Motlagh, Mohammad Reza Jahed; Khorsandi, Siavash; Analoui, Morteza

doi:10.1016/j.nonrwa.2010.02.014

Cited by 14 publications

(2 citation statements)

References 23 publications

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“…However, how does TCP/AQM system evolves when the congestion control system loses its stability? This field also begins to draw much attention from researchers [4,5,6,10,11,12,13,14,20,21,25,26,27,28,29,32,33]. In [27], Raina et al found that if the local stability of TCP with drop tail is just lost, the corresponding nonlinear system undergoes a supercritical Hopf bifurcation.…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation analysis of Westwood+ TCP congestion control model in mobile cloud computing networks

Guo

Wang

2016

NAMC

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In this paper, we first build up a Westwood+ TCP congestion control model with communication delay in mobile cloud computing networks. We then study the dynamics of this model by analyzing the distribution ranges of eigenvalues of its characteristic equation. Taking communication delay as the bifurcation parameter, we derive the linear stability criteria depending on communication delay. Furthermore, we study the direction of Hopf bifurcation as well as the stability of periodic solution for the Westwood+ TCP congestion control model with communication delay. We find that the Hopf bifurcation occurs when the communication delay passes a sequence of critical values. The stability and direction of the Hopf bifurcation are determined by the normal form theory and the center manifold theorem. Finally, numerical simulation is done to verify the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Stability and bifurcation analysis of Westwood+ TCP congestion control model in mobile cloud computing networks

Guo

Wang

2016

NAMC

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“…Possessing long-term sequences, irregularity and unpredictability, which are the main characteristics of random signals, as well as the other fascinating traits of chaotic signals, has provoked researchers in the field of engineering to take advantage of them for replacing the stochastic nature of randomization. Applying such a plan in some domains such as communications [5], image processing [6], complex systems [7], DNA computing [8], control [9] and computer networks [10], has resulted in remarkable outcomes.…”

Section: Introductionmentioning

confidence: 99%

An empirical investigation into the effects of chaos on different types of evolutionary crossover operators for efficient global search in complicated landscapes

Emami

Mozaffari

Azad

et al. 2014

International Journal of Computer Mathematics

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In this study, a comprehensive empirical test is conducted to analyze the effects of two well-known chaotic maps, namely sinusoidal and logistic maps, on the efficacy of double Pareto crossover (DPX), Laplace crossover (LX) and simulated binary crossover (SBX) operators for the global optimization of continuous problems. To do so, 13 well-known numerical benchmark problems in three distinctive dimensions, namely 50D, 100D and 200D, are considered and the genetic algorithm (GA) with simple version and chaos enhanced versions of the mentioned crossover operators are utilized for optimizing these functions. Furthermore, a time complexity analysis is conducted to find out the impact of hybridizing the chaos and the evolutionary operators on the computational complexity of GA. The results of the experimental analysis provide us with fruitful information regarding the scalability, computational complexity and exploration/exploitation capability of the considered rival optimization algorithms, as well as, demonstrate the efficacy of chaos-evolutionary computing for numerical continuous optimizations.

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State feedback control at Hopf bifurcation in an exponential RED algorithm model

2014

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Hopf bifurcation analysis on an Internet congestion control system of arbitrary dimension with communication delay

Cited by 14 publications

References 23 publications

Stability and bifurcation analysis of Westwood+ TCP congestion control model in mobile cloud computing networks

Stability and bifurcation analysis of Westwood+ TCP congestion control model in mobile cloud computing networks

An empirical investigation into the effects of chaos on different types of evolutionary crossover operators for efficient global search in complicated landscapes

State feedback control at Hopf bifurcation in an exponential RED algorithm model

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