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Chaos and crises in a model for cooperative hunting: A symbolic dynamics approach
In this work we investigate the population dynamics of cooperative hunting extending the McCann and Yodzis model for a three-species food chain system with a predator, a prey, and a resource species. ...

Discrete instability in the DNA double helix

Chaos 19, 043101 (2009); doi:10.1063/1.3234244

Published 5 October 2009

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Conrad Bertrand Tabi,1,2 Alidou Mohamadou,1,3 and Timoléon Crépin Kofané1
1Department of Physics, Laboratory of Mechanics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
2The Abdus Salam International Center for Theoretical Physics, P.O. Box 586, Strada Costiera 11, I-34014 Trieste, Italy
3Department of Physics, Condensed Matter Laboratory, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon
Modulational instability (MI) is explored in the framework of the base-rotor model of DNA dynamics. We show, in fact, that the helicoidal coupling introduced in the spin model of DNA reduces the system to a modified discrete sine-Gordon (sG) equation. The MI criterion is thus modified and displays interesting features because of the helicoidal coupling. In the simulations, we have found that a train of pulses is generated when the lattice is subjected to MI, in agreement with analytical results obtained in a modified discrete sG equation. Also, the competitive effects of the harmonic longitudinal and helicoidal constants on the dynamics of the system are notably pointed out. In the same way, it is shown that MI can lead to energy localization which becomes high for some values of the helicoidal coupling constant. ©2009 American Institute of Physics
History: Received 17 January 2009; accepted 28 August 2009; published 5 October 2009
Permalink: http://link.aip.org/link/?CHAOEH/19/043101/1
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1054-1500 (print)   1089-7682 (online)
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