Geodesic
On Synchronization of Quasiperiodic Oscillations
Russian journal of nonlinear dynamics, Tome 14 (2018) no. 3, pp. 367-376

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the role of quasi-periodic perturbations in systems close to two-dimensional Hamiltonian ones. Similarly to the problem of the influence of periodic perturbations on a limit cycle, we consider the problem of the passage of an invariant torus through a resonance zone. The conditions for synchronization of quasi-periodic oscillations are established. We illustrate our results using the Duffing –Van der Pol equation as an example.
Keywords: resonances, quasi-periodic, periodic, synchronization, averaged system, phase curves, equilibrium states. 
@article{ND_2018_14_3_a6,
     author = {A. D. Morozov and K. E. Morozov},
     title = {On {Synchronization} of {Quasiperiodic} {Oscillations}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {367--376},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2018_14_3_a6/}
}
TY  - JOUR
AU  - A. D. Morozov
AU  - K. E. Morozov
TI  - On Synchronization of Quasiperiodic Oscillations
JO  - Russian journal of nonlinear dynamics
PY  - 2018
SP  - 367
EP  - 376
VL  - 14
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2018_14_3_a6/
LA  - en
ID  - ND_2018_14_3_a6
ER  - 
%0 Journal Article
%A A. D. Morozov
%A K. E. Morozov
%T On Synchronization of Quasiperiodic Oscillations
%J Russian journal of nonlinear dynamics
%D 2018
%P 367-376
%V 14
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2018_14_3_a6/
%G en
%F ND_2018_14_3_a6
A. D. Morozov; K. E. Morozov. On Synchronization of Quasiperiodic Oscillations. Russian journal of nonlinear dynamics, Tome 14 (2018) no. 3, pp. 367-376. http://geodesic.mathdoc.fr/item/ND_2018_14_3_a6/