Detection of different possible responses of a time-dependent nonlinear periodic chain with local and global potentials

A. Labetoulle, A. Ture Savadkoohi and E. Gourdon

Chaos, Solitons & Fractals, 2024, vol. 186, issue C

Abstract: A time-dependent periodic chain of coupled nonlinear oscillators including local and global potentials is studied. The continuous form of system equations is projected on an arbitrary mode. Detection of different dynamics are highlighted leading to clarification of equilibrium and singular points of the reduced system. The analytical studies permit prediction/design of periodic and quasi-periodic regimes of the system validated by results obtained through direction numerical integrations.

Keywords: Nonlinear periodic chain; Time-dependent; Fast/slow dynamics; Strongly modulated response (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924007598

DOI: 10.1016/j.chaos.2024.115207

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