Period-doubling density waves in a chain


Opheusden, Joost H.J. van and Valkering, Theo P. (1989) Period-doubling density waves in a chain. Nonlinearity, 2 (2). p. 357. ISSN 0951-7715

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Abstract:The authors consider a one-dimensional chain of N+2 identical particles with nearest-neighbour Lennard-Jones interaction and uniform friction. The chain is driven by a prescribed periodic motion of one end particle, with frequency v and 'strength' parameter alpha . The other end particle is held fixed. They demonstrate numerically that there is a region in the alpha -v plane where the chain has a stable state in which a density wave runs to and fro between the two ends of the chain, similarly to a ball bouncing between two walls. More importantly, they observe a period-doubling transition to chaos, for fixed v and increasing alpha , while the localised (solitary wave) character of the motion is preserved
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Copyright:© 1989 Institute of Physics
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