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STRATEGIES FOR THE CONTROL OF CHAOS IN A DUFFING–HOLMES OSCILLATOR

✍ Scribed by M.K. SIFAKIS; S.J. ELLIOTT

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
336 KB
Volume
14
Category
Article
ISSN
0888-3270

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✦ Synopsis

A feasibility study has been carried out on a number of di!erent methods of controlling chaos in a Du$ng/Holmes oscillator. Four di!erent control strategies have been investigated via numerical integration of the governing equations. The same orbit has been successfully stabilised with three of the methods. The results for these orbits are presented in the body of the paper. Some supplementary results for the stabilisation of other orbits are gathered in an appendix. Comparisons have been made in terms of control e!ort, ease of use and applicability to an experimental system.

📜 SIMILAR VOLUMES

AN ANALYSIS OF THE TRANS-SPECTRAL-COHERE
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✍ P.G. Vaidya; R. He 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 306 KB

A theoretical explanation of the observed Trans-Spectral-Coherence for the signal generated from the Duffing oscillators during chaos has been presented. As expected based on findings from earlier work by M. D. Miller strong coherence was found when the Duffing oscillators gave rise to periodic solu

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✍ A.C.J. LUO 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 378 KB

The resonant conditions for the Mathieu}Du$ng oscillator are determined, and the resonant orders for the inside and outside of the generic separatrix are (M : 1) and (2M : 1) respectively. The excitation strength for the onset of a speci"c resonance in the generic separatrix band is predicted analyt