ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


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Goncharov P. P., Dzhelauhova G. S., Chechin G. M. Discrete breathers and quasibreathers in nonlinear monoatomic chains. Izvestiya VUZ. Applied Nonlinear Dynamics, 2007, vol. 15, iss. 6, pp. 57-74. DOI: 10.18500/0869-6632-2007-15-6-57-74

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Russian
Article type: 
Article
UDC: 
530.182

Discrete breathers and quasibreathers in nonlinear monoatomic chains

Autors: 
Goncharov Petr Petrovich, Southern Federal University
Dzhelauhova Galina Sergeevna, Southern Federal University
Chechin Georgij Mihajlovich, Southern Federal University
Abstract: 

We study the stability of the symmetric and antisymmetric discrete breathers in the monoatomic chain described by potential energy which is a uniform function of the fourth order. It is shown that the change of the stability properties of these two dynamical objects (known as Sievers-Takeno and Page modes, respectively) takes place at the same strength of the inter-site interactions with respect to the on-site interactions. We also present a new method (the «pair synchronization» method) for the discrete breather construction in the arbitrary nonlinear Hamiltonian lattices. This method possesses an explicit physical sense. Its application technique is demonstrated with the chain of linear coupled Duffing oscillators. The concept of quasibreathers which represent the dynamical objects corresponded to small deviations from the exact breather solutions is briefly discussed. 

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Received: 
20.06.2007
Accepted: 
31.10.2007
Published: 
30.01.2008
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