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Axioms 2018, 7(4), 69;

Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
Department of Mechanical Engineering, Faculty of Engineering, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia
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)
Full-Text   |   PDF [809 KB, uploaded 24 September 2018]   |  


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

Figure 1

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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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