Name
Abstract | ||
|---|---|---|
This paper investigates the nonlinear dynamics of network-based dynamical systems where network communication channels of
finite data rates are inserted into the closed loops of the control systems. The authors analyze the bifurcation and chaotic
behavior of the non-smooth dynamical systems. The authors first prove that for almost all system parameters there are no periodic
orbits. This result distinguishes this type of non-smooth dynamical systems from many others exhibiting border-collision bifurcations.
Next, the authors show analytically that the chaotic sets are separated from the region containing the line segment of all
fixed points with a finite distance. Finally, the authors employ a simple model to highlight that both the number of clients
sharing a common network channel and fluctuations in the available network bandwidth have significant influence on the performance
of such dynamical systems. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s11424-011-8173-6 | J. Systems Science & Complexity |
Keywords | Field | DocType |
periodicity,bifurcation,network-based dynamical system,feedback,periodicity.,non-convexity,nonlinear dynamics,dynamic system,communication channels,control system,fixed point | Linear dynamical system,Measure-preserving dynamical system,Projected dynamical system,Control theory,Dynamical systems theory,Random dynamical system,Chaotic,Orbit (dynamics),Mathematics,Limit set | Journal |
Volume | Issue | ISSN |
24 | 3 | 1559-7067 |
Citations | PageRank | References |
0 | 0.34 | 16 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guofeng Zhang | 1 | 68 | 8.32 |
| Long Wang | 2 | 341 | 15.21 |
| Tongwen Chen | 3 | 326 | 34.01 |
| Tongwen Chen | 4 | 326 | 34.01 |
| Tongwen Chen | 5 | 326 | 34.01 |
| L. Wang | 6 | 14 | 5.79 |