Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

Makrina Agaoglou; Michal Fečkan; Michal Pospíšil; Vassilis M. Rothos; Alexander F Vakakis

doi:10.3390/axioms7040069

Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

Makrina Agaoglou
, Michal Fečkan
, Michal Pospíšil
, Vassilis M. Rothos
, Alexander F Vakakis

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	69
Number of pages	13
Journal	Axioms
Volume	7
Issue number	4
DOIs	https://doi.org/10.3390/axioms7040069
State	Published - 2018

Keywords

Melnikov function
Nonlinear oscillatory acoustic vacuum
Periodic oscillations
Symmetry

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics
Logic
Geometry and Topology

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10.3390/axioms7040069License: CC BY

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title = "Periodically Forced Nonlinear Oscillatory Acoustic Vacuum",

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.",

keywords = "Melnikov function, Nonlinear oscillatory acoustic vacuum, Periodic oscillations, Symmetry",

author = "Makrina Agaoglou and Michal Fe{\v c}kan and Michal Posp{\'i}{\v s}il and Rothos, \{Vassilis M.\} and Vakakis, \{Alexander F\}",

note = "M.A. is supported by the National Scholarship Programme of the Slovak Republic for the Support of Mobility of Students, Ph.D. Students, University Teachers, Researchers and Artists. M.F. and M.P. are supported by the Slovak Research and Development Agency (Grant Number APVV-14-0378) and the Slovak Grant Agency VEGA(Grant Numbers 2/0153/16 and 1/0078/17).",

year = "2018",

doi = "10.3390/axioms7040069",

language = "English (US)",

volume = "7",

journal = "Axioms",

issn = "2075-1680",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "4",

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TY - JOUR

T1 - Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

AU - Agaoglou, Makrina

AU - Fečkan, Michal

AU - Pospíšil, Michal

AU - Rothos, Vassilis M.

AU - Vakakis, Alexander F

N1 - M.A. is supported by the National Scholarship Programme of the Slovak Republic for the Support of Mobility of Students, Ph.D. Students, University Teachers, Researchers and Artists. M.F. and M.P. are supported by the Slovak Research and Development Agency (Grant Number APVV-14-0378) and the Slovak Grant Agency VEGA(Grant Numbers 2/0153/16 and 1/0078/17).

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Melnikov function

KW - Nonlinear oscillatory acoustic vacuum

KW - Periodic oscillations

KW - Symmetry

UR - https://www.scopus.com/pages/publications/85056765918

UR - https://www.scopus.com/pages/publications/85056765918#tab=citedBy

U2 - 10.3390/axioms7040069

DO - 10.3390/axioms7040069

M3 - Article

SN - 2075-1680

VL - 7

JO - Axioms

JF - Axioms

IS - 4

M1 - 69

ER -

Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

Abstract

Keywords

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