Solitary states for coupled oscillators
Chaotic Dynamics
2018-02-14 v2 Dynamical Systems
Abstract
We demonstrate that solitary states can be widely observed for networks of coupled oscillators with local, non-local and global couplings, and they preserve in both thermodynamic and Hamiltonian limits. We show that depending on units' and network's parameters, different types of solitary states occur, characterized by the number of isolated oscillators and the disposition in space. The creation of solitary states through the homoclinic bifurcation is described and the regions of co-existence of obtained states and typical examples of dynamics have been identified. Our analysis suggests that solitary states can be observed in a wide class of networks relevant to various real-world systems.
Cite
@article{arxiv.1703.06950,
title = {Solitary states for coupled oscillators},
author = {Patrycja Jaros and Serhiy Brezetsky and Roman Levchenko and Dawid Dudkowski and Tomasz Kapitaniak and Yuri Maistrenko},
journal= {arXiv preprint arXiv:1703.06950},
year = {2018}
}
Comments
4 figures