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Periodic and localized solutions in chains of oscillators with softening or hardening cubic nonlinearity

  • Advances in Dynamics, Stability and Control of Mechanical Systems
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Abstract

Spatially periodic and stationary localized solutions arising from the dynamics of chains of linearly coupled mechanical oscillators characterized by on site cubic nonlinearity are addressed aiming to explore their relationship with the underlying nonlinear wave propagation regions. Softening and hardening nonlinearities are considered, and regions of occurrence of discrete breathers and multibreathers associated with homoclinic or heteroclinic connections are identified.

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Authors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Via Gramsci 53, Rome, Italy

    Francesco Romeo & Giuseppe Rega

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  1. Francesco Romeo
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  2. Giuseppe Rega
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Correspondence to Francesco Romeo.

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Romeo, F., Rega, G. Periodic and localized solutions in chains of oscillators with softening or hardening cubic nonlinearity. Meccanica 50, 721–730 (2015). https://doi.org/10.1007/s11012-014-9977-y

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  • DOI: https://doi.org/10.1007/s11012-014-9977-y

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