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Nature of chaos in conservative and dissipative systems of the Duffing-Holmes oscillator

✍ Scribed by A. D. Dubrovskii

Book ID
110158851
Publisher
Springer
Year
2010
Tongue
English
Weight
306 KB
Volume
46
Category
Article
ISSN
0012-2661

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πŸ“œ SIMILAR VOLUMES

STRATEGIES FOR THE CONTROL OF CHAOS IN A
STRATEGIES FOR THE CONTROL OF CHAOS IN A DUFFING–HOLMES OSCILLATOR
✍ M.K. SIFAKIS; S.J. ELLIOTT πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 336 KB

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

Limiting phase trajectories and nonstati
Limiting phase trajectories and nonstationary resonance oscillations of the Duffing oscillator. Part 2. A dissipative oscillator
✍ L.I. Manevitch; A.S. Kovaleva; E.L. Manevitch; D.S. Shepelev πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 422 KB

This paper extends the concept of limiting phase trajectories (LPT) to systems with dissipation. The Duffing oscillator with linear dissipation and periodic excitation is studied. Under condition of 1:1 resonance, we obtain an approximate analytic solution describing two stages of motion: at the fir