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Article Dans Une Revue Chaos, Solitons & Fractals Année : 2024

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

Résumé

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.
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hal-04646414 , version 1 (12-07-2024)

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Aurélie Labetoulle, Alireza Ture Savadkoohi, Emmanuel Gourdon. Detection of different possible responses of a time-dependent nonlinear periodic chain with local and global potentials. Chaos, Solitons & Fractals, 2024, 186, pp.115207. ⟨10.1016/j.chaos.2024.115207⟩. ⟨hal-04646414⟩
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