Snaking bifurcations in a self-excited oscillator chain with cyclic symmetry

Publikationstyp
Journal Article
Date Issued
2016-08-09
Sprache
English
Author(s)
Papangelo, Antonio 
Grolet, AurĂ©lien  
Salles, Loic  
Hoffmann, Norbert  orcid-logo
Ciavarella, Michele  
Institut
Strukturdynamik M-14  
TORE-URI
http://hdl.handle.net/11420/3819
Journal
Communications in nonlinear science and numerical simulation  
Volume
44
Start Page
108
End Page
119
Citation
Communications in Nonlinear Science and Numerical Simulation (44): 108-119 (2017-03-01)
Publisher DOI
10.1016/j.cnsns.2016.08.004
Scopus ID
2-s2.0-84981332751
Publisher
Elsevier
Snaking bifurcations in a chain of mechanical oscillators are studied. The individual oscillators are weakly nonlinear and subject to self-excitation and subcritical Hopf-bifurcations with some parameter ranges yielding bistability. When the oscillators are coupled to their neighbours, snaking bifurcations result, corresponding to localised vibration states. The snaking patterns do seem to be more complex than in previously studied continuous systems, comprising a plethora of isolated branches and also a large number of similar but not identical states, originating from the weak coupling of the phases of the individual oscillators.
Subjects
Bistability
Localised vibration
Nonlinear dynamics
Self-excitation
Snaking bifurcation
Subcritical Hopf bifurcation
DDC Class
600: Technik
620: Ingenieurwissenschaften
More Funding Information
A.P. is grateful to the Italian Ministry of Education, Universities and Research, which funded his PhD research. Part of the work has been supported by Deutsche Forschungsgemeinschaft in project HO 3852/11-1.