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Controlling spatio-temporal chaos via small external forces

✍ Scribed by Shunguang Wu; Kaifen He; Zuqia Huang


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
297 KB
Volume
260
Category
Article
ISSN
0375-9601

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✦ Synopsis


The spatio-temporal chaos in the system described by a one-dimensional nonlinear-drift wave equation is controlled by directly adding a periodic force with appropriately chosen frequencies. By dividing the solution of the system into a carrier steady wave and its perturbation, we find that the controlling mechanism can be explained by a slaving principle. The critical controlling time for a perturbation mode increases exponentially with its wave number.


📜 SIMILAR VOLUMES


Controlling spatio-temporal chaos in cou
✍ Ljupčo Kocarev; Predrag Janjić; Ulrich Parlitz; Toni Stojanovski 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 615 KB

The work deals with control of spatio-temporal chaos in coupled ordinary differential equations. We propose a method based on the following ideas: stabilization of unstable periodic orbits embedded in spatio-temporal chaos, perturbation of minimal number of system variables, and perturbation only at