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Journal of Applied Mechanics and Technical Physics

2016 year, number 1

Dynamics of Coupled Nonlinear Oscillators: The Formation of Long-Lived Vibrational States in the Case of Molecular Systems

G. A. Koval'skaya, A. K. Petrov
Voevodsky Institute of Chemical Kinetics and Combustion, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Keywords: нелинейные осцилляторы, долгоживущие колебательные состояния, локальные моды, внутримолекулярный переход энергии, nonlinear oscillators, long-lived vibrational states, local modes, intramolecular energy transition


Nonlinear vibrations in a closed system of coupled nonlinear oscillators are studied using acetylene type molecules as an example. A criterion for the stable existence of long-lived vibrational states - local modes - in one of the oscillators is obtained. It is shown that the disappearance of a local mode, as well as its appearance, proceeds abruptly, and the mechanism of stabilization of these excitations is due to the presence or absence of internal resonances of an oscillatory system such as any polyatomic molecule. Energy values needed to excite vibrations in which local modes can appear are determined. It is shown that calculation results agree with experimental data.