Three-frequency resonances in single-mode systems

Publikationstyp
Conference Paper
Date Issued
2016-08-09
Sprache
English
Author(s)
Nimets, Anastasiia  
Vavriv, Dmytro  
Schünemann, Klaus  
Institut
Hochfrequenztechnik E-3  
TORE-URI
http://hdl.handle.net/11420/6232
Article Number
7538197
Citation
International Kharkiv Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves, MSMW: 7538197 (2016-08-09)
Contribution to Conference
9th International Kharkiv Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves, MSMW 2016  
Publisher DOI
10.1109/MSMW.2016.7538197
Scopus ID
2-s2.0-84987971759
We review recent results on the interaction of low- and high-frequency oscillations that lead to arising of three-frequency resonances in nonlinear oscillators. The Duffing oscillator and the Van der Pol oscillator both with modulated natural frequency and a high-frequency harmonic forcing are considered as examples to illustrate and study this phenomenon. It is shown that such interaction enables an efficient control of the oscillators dynamics and their properties. The formation of bistable states and synchronous oscillations is considered in detail.
Subjects
binar data
bistability
Duffing oscillator
high- to lowfrequency interaction
hysteresis
nonlinear oscillator
synchronization
Van der Pol oscillator