TY  - JOUR
A1  - Emelianova, Yulia P.
A1  - Kuznetsov, A. P.
A1  - Turukina, Ludmila V.
T1  - Quasi-periodic bifurcations and "amplitude death" in low-dimensional ensemble of van der Pol oscillators
JF  - Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics
N2  - The dynamics of the four dissipatively coupled van der Pol oscillators is considered. Lyapunov chart is presented in the parameter plane. Its arrangement is discussed. We discuss the bifurcations of tori in the system at large frequency detuning of the oscillators. Here are quasi-periodic saddle-node, Hopf and Neimark-Sacker bifurcations. The effect of increase of the threshold for the "amplitude death" regime and the possibilities of complete and partial broadband synchronization are revealed.
KW  - Chain of van der Pol oscillators
KW  - Bifurcations of tori
KW  - Amplitude death
KW  - Broadband synchronization
Y1  - 2014
U6  - https://doi.org/10.1016/j.physleta.2013.10.049
SN  - 0375-9601
SN  - 1873-2429
VL  - 378
IS  - 3
SP  - 153
EP  - 157
PB  - Elsevier
CY  - Amsterdam
ER  -