Anti-phase synchronization and symmetry-breaking bifurcation of impulsively coupled oscillators.
Jiang, Haibo; Liu, Yang; Zhang, Liping; Yu, Jianjiang
This paper studies the synchronization in two mechanical oscillators coupled by impacts which can be considered as a class of state-dependent impulsively coupled oscillators. The two identical oscillators are harmonically excited in a counter phase, and the synchronous (anti-phase synchronization) and the asynchronous motions are considered. One- and two-parameter bifurcations of the system have been studied by varying the amplitude and the frequency of external excitation. Numerical simulations show that the system could exhibit complex phenomena, including symmetry and asymmetry periodic solutions, quasi-periodic solutions and chaotic solutions. In particular, the regimes in anti-phase synchronization are identified, and it is found that the symmetry-breaking bifurcation plays an important role in the transition from synchronous to asynchronous motion.
|Journal Article Type||Article|
|Publication Date||Oct 31, 2016|
|Journal||Communications in nonlinear science and numerical simulation|
|Peer Reviewed||Peer Reviewed|
|Institution Citation||JIANG, H., LIU, Y., ZHANG, L. and YU, J. 2016. Anti-phase synchronization and symmetry-breaking bifurcation of impulsively coupled oscillators. Communications in nonlinear science and numerical simulation [online], 39, pages 199-208. Available from: https://doi.org/10.1016/j.cnsns.2016.02.033|
|Keywords||Impact oscillators; State dependent impulsively coupled oscillators; Antiphase synchronization; Symmetry breaking bifurcation|
JIANG 2016 Anti phase synchronization