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Long-Range Interaction and Synchronization of Oscillating Dissipative Solitons
Author(s) -
Dmitry Turaev,
A. G. Vladimirov,
Sergey Zelik
Publication year - 2012
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.108.263906
Subject(s) - dissipative system , physics , synchronization (alternating current) , bifurcation , hopf bifurcation , harmonic , range (aeronautics) , classical mechanics , harmonic oscillator , quantum electrodynamics , quantum mechanics , nonlinear system , topology (electrical circuits) , materials science , mathematics , composite material , combinatorics
We study the interaction of well-separated oscillating localized structures (oscillons). We show that oscillons emit weakly decaying dispersive waves, which lead to the formation of bound states due to harmonic synchronization. We also show that in optical applications the Andronov-Hopf bifurcation of stationary localized structures leads to a drastic increase in their interaction strength.

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