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Consecutive transitions from localized to delocalized transport states in the anharmonic chain of three coupled oscillators

Kislovsky, V and Kovaleva, M and Jayaprakash, KR and Starosvetsky, Y (2016) Consecutive transitions from localized to delocalized transport states in the anharmonic chain of three coupled oscillators. In: CHAOS, 26 (7).

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Official URL: http://dx.doi.org/10.1063/1.4954878

Abstract

In the present paper, we study the mechanism of formation and bifurcations of highly nonstationary regimes manifested by different energy transport intensities, emerging in an anharmonic trimer model. The basic model under investigation comprises a chain of three coupled anharmonic oscillators subject to localized excitation, where the initial energy is imparted to the first oscillator only. We report the formation of three basic nonstationary transport states traversed by locally excited regimes. These states differ by spatial energy distribution, as well as by the intensity of energy transport along the chain. In the current study, we focus on numerical and analytical investigation of the intricate resonant mechanism governing the inter-state transitions of locally excited regimes. Results of the analytical study are in good agreement with the numerical simulations of the trimer model. Published by AIP Publishing.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 22 Oct 2016 09:27
Last Modified: 22 Oct 2016 09:27
URI: http://eprints.iisc.ernet.in/id/eprint/55032

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