Model of a Frame of Dynamic Routing and Its Equilibrium

DOI10.1142/S0218127418500050zbMath1386.34095OpenAlexW2789818168MaRDI QIDQ4608875

Jian Xu, Yuan Yuan, Shu Zhang

Publication date: 29 March 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418500050

zbMATH Keywords

stabilitydynamic routingInternet congestion controlswitch systembifurcation continuation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Queues and service in operations research (90B22) Deterministic network models in operations research (90B10) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Uses Software

• Unnamed Item
• WinPP

Cites Work

• Unnamed Item
• The Filippov equilibrium and sliding motion in an Internet congestion control model
• Hopf-like bifurcations in planar piecewise linear systems
• The mathematics of internet congestion control
• Quasiperiodic motion induced by heterogeneous delays in a simplified Internet congestion control model
• Dynamics of a congestion control model in a wireless access network
• STABILITY SWITCH BOUNDARIES IN AN INTERNET CONGESTION CONTROL MODEL WITH DIVERSE TIME DELAYS
• Rate control for communication networks: shadow prices, proportional fairness and stability
• Periodic solutions and their bifurcations in a non-smooth second-order delay differential equation
• OSCILLATION AND PERIOD DOUBLING IN TCP/RED SYSTEM: ANALYSIS AND VERIFICATION
• One-Parameter Bifurcations in Planar Filippov Systems
• Bifurcations in nonlinear discontinuous systems

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