Consecutive transitions from localized to delocalized transport states in the anharmonic chain of three coupled oscillators

Chaos. 2016. Vol. 26. No. 073102. P. 1–12.

Victor K., Kovaleva M., Jayaprakash K., Starosvetsky Y.

In the present paper, we study the mechanism of formation and bifurcations of highly nonstationary
regimes manifested by different energy transport intensities, emerging in an anharmonic trimer
model. The basic model under investigation comprises a chain of three coupled anharmonic
oscillators subject to localized excitation, where the initial energy is imparted to the first oscillator
only. We report the formation of three basic nonstationary transport states traversed by locally excited
regimes. These states differ by spatial energy distribution, as well as by the intensity of energy
transport along the chain. In the current study, we focus on numerical and analytical investigation of
the intricate resonant mechanism governing the inter-state transitions of locally excited regimes.
Results of the analytical study are in good agreement with the numerical simulations of the trimer
model.

Keywords: energy transfer, coupled oscillators, energy localization, связанные осцилляторы, локализация энергии, энергообмен