Stabilization of solitons in coupled nonlinear pendulums with simultaneous external and parametric excitations

•Energy localization in coupled nonlinear pendulums under simultaneous excitations.•Solving the nonlinear damped Schrodinger equation under simultaneous excitations.•Stabilization mechanism for solitons with simultaneous excitations. The influence of an external harmonic excitation on the intrinsic...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2017-01, Vol.42, p.1-11
Main Authors: Jallouli, A., Kacem, N., Bouhaddi, N.
Format: Article
Language:English
Subjects:
Coupled pendulums
Mechanics
Nonlinear localization
Physics
Simultaneous excitations
Soliton
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Summary:•Energy localization in coupled nonlinear pendulums under simultaneous excitations.•Solving the nonlinear damped Schrodinger equation under simultaneous excitations.•Stabilization mechanism for solitons with simultaneous excitations. The influence of an external harmonic excitation on the intrinsic localized modes of a chain of nonlinear pendulums is numerically investigated. We show, in particular, how the existence and stability domains of solitons are modified when the coupled pendulums are simultaneously subjected to external and parametric excitations. This stabilization mechanism opens the way towards the control of the energy localization phenomena in damped nonlinear periodic lattices for efficient energy transport applications.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2016.05.012