Geodesic
Global chaotization effect in particles chain
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 291-305

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The appearance of chaotic regimes near elliptic point in a cell of particles' chain interacting by means of Lennard-Jones potential is studied. The threshold nature of chaotization advent in the case of single-frequency cell excitation is demonstrated. A method of global chaotization based on multifrequency external excitation is proposed. The results of numerical experiments show that in this case the formation of global chaos is achieved at essentially lower values of external excitation amplitude and frequency, than in the case of single frequency excitation.
Keywords: nonlinear dynamics, molecular dynamics, Lennard-Jones potential, chaotic dynamics, Chirikov's criterion. 
@article{ND_2010_6_2_a4,
     author = {M. A. Guzev and Yu. G. Izrailsky and K. V. Koshel},
     title = {Global chaotization effect in particles chain},
     journal = {Russian journal of nonlinear dynamics},
     pages = {291--305},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2010_6_2_a4/}
}
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M. A. Guzev; Yu. G. Izrailsky; K. V. Koshel. Global chaotization effect in particles chain. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 291-305. http://geodesic.mathdoc.fr/item/ND_2010_6_2_a4/