Pinning a complex dynamical network to its equilibrium
It is now known that the complexity of network topology has a great impact on the stabilization of complex dynamical networks. In this work, we study the control of random networks and scale-free networks. Conditions are investigated for globally or locally stabilizing such networks. Our strategy is...
Uloženo v:
| Vydáno v: | IEEE transactions on circuits and systems. I, Regular papers Ročník 51; číslo 10; s. 2074 - 2087 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
New York
IEEE
01.10.2004
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Témata: | |
| ISSN: | 1549-8328, 1558-0806 |
| On-line přístup: | Získat plný text |
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| Abstract | It is now known that the complexity of network topology has a great impact on the stabilization of complex dynamical networks. In this work, we study the control of random networks and scale-free networks. Conditions are investigated for globally or locally stabilizing such networks. Our strategy is to apply local feedback control to a small fraction of network nodes. We propose the concept of virtual control for microscopic dynamics throughout the process with different pinning schemes for both random networks and scale-free networks. We explain the main reason why significantly less local controllers are required by specifically pinning the most highly connected nodes in a scale-free network than those required by the randomly pinning scheme, and why there is no significant difference between specifically and randomly pinning schemes for controlling random dynamical networks. We also study the synchronization phenomenon of controlled dynamical networks in the stabilization process, both analytically and numerically. |
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| AbstractList | It is now known that the complexity of network topology has a great impact on the stabilization of complex dynamical networks. In this work, we study the control of random networks and scale-free networks. Conditions are investigated for globally or locally stabilizing such networks. Our strategy is to apply local feedback control to a small fraction of network nodes. We propose the concept of virtual control for microscopic dynamics throughout the process with different pinning schemes for both random networks and scale-free networks. We explain the main reason why significantly less local controllers are required by specifically pinning the most highly connected nodes in a scale-free network than those required by the randomly pinning scheme, and why there is no significant difference between specifically and randomly pinning schemes for controlling random dynamical networks. We also study the synchronization phenomenon of controlled dynamical networks in the stabilization process, both analytically and numerically. In this work, we study the control of random networks and scale-free networks. |
| Author | Guanrong Chen Xiaofan Wang Xiang Li |
| Author_xml | – sequence: 1 givenname: Xiang surname: Li fullname: Li, Xiang – sequence: 2 givenname: Xiaofan surname: Wang fullname: Wang, Xiaofan – sequence: 3 givenname: Guanrong surname: Chen fullname: Chen, Guanrong |
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| CODEN | ITCSCH |
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| SubjectTerms | Circuits Complex networks Dynamical systems Dynamics Feedback control Internet IP networks Lattices Mathematical analysis Microscopy Network topology Networks Pinning Robust stability Social network services Stabilization Strategy Web sites |
| Title | Pinning a complex dynamical network to its equilibrium |
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