title: Consecutive transitions from localized to delocalized transport states in the anharmonic chain of three coupled oscillators.
abstract: 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.
authors.affiliation: Faculty of Mechanical Engineering, Technion Israel Institute of Technology, Technion City, Haifa 32000, Israel.
authors.forename: V
authors.initials: V
authors.lastname: Kislovsky
authors.affiliation: N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences, Kosygina St. 4, Moscow 119991, Russia.
authors.forename: M
authors.initials: M
authors.lastname: Kovaleva
authors.affiliation: Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India.
authors.forename: K R
authors.initials: KR
authors.lastname: Jayaprakash
authors.affiliation: Faculty of Mechanical Engineering, Technion Israel Institute of Technology, Technion City, Haifa 32000, Israel.
authors.forename: Y
authors.initials: Y
authors.lastname: Starosvetsky