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Axioms 2018, 7(4), 69; https://doi.org/10.3390/axioms7040069

Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

1
Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
2
Department of Mechanical Engineering, Faculty of Engineering, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
3
Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia
4
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
*
Author to whom correspondence should be addressed.
Received: 31 July 2018 / Revised: 14 September 2018 / Accepted: 19 September 2018 / Published: 22 September 2018
(This article belongs to the Special Issue Mathematical Analysis and Applications)
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Abstract

In this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied for the persistence of periodic oscillations of a reduced system. View Full-Text
Keywords: nonlinear oscillatory acoustic vacuum; periodic oscillations; Melnikov function; symmetry nonlinear oscillatory acoustic vacuum; periodic oscillations; Melnikov function; symmetry
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Agaoglou, M.; Fečkan, M.; Pospíšil, M.; Rothos, V.M.; Vakakis, A.F. Periodically Forced Nonlinear Oscillatory Acoustic Vacuum. Axioms 2018, 7, 69.

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