Options
Nucleation and propagation of excitation fronts in self-excited systems
Publikationstyp
Journal Article
Date Issued
2020-01
Sprache
English
Author(s)
Institut
TORE-URI
Journal
Physica D: Nonlinear phenomena
Volume
401
Article Number
132176
Citation
Physica D: Nonlinear Phenomena 401: 132176 (2020)
Publisher DOI
Scopus ID
The paper considers the transition between spatially localized and propagating stick–slip motion in frictional systems. To overcome the difficulties related to the non-smoothness of the friction law we have studied two models: a friction-excited chain of weakly coupled oscillators excited by a frictional moving belt (model I) and a chain of Van der Pol oscillators (model II). The two models show very similar dynamical features. Both exhibit discrete breathers (i.e. spatially localized periodic solutions) for low coupling. For higher coupling, both exhibit propagation of switch fronts from low to high-amplitude limit cycle oscillations. Besides, in both models the transition from discrete breathers to propagating limit cycles happens through a nucleation process and, above a certain critical coupling, the velocity of propagation scales linearly with the elastic coupling coefficient. We suggest that dynamical features similar to what was demonstrated in this work are expected for models that are different quantitatively but preserve the same structure of the state space in every single unit.
Subjects
Asymptotic analysis
Friction induced vibration
Front propagation
Kinks
Self-excitation
DDC Class
530: Physics