@inproceedings{9cb91ee796254fc49050065cb9dfbd91,
title = "Dynamics of a large ring of unidirectionally coupled duffing oscillators",
abstract = "In this paper we study the dynamics of a large ring of unidirectionally coupled autonomous Duffing oscillators. We paid our attention to the role of unstable periodic solutions for the appearance of spatio-temporal structures and the Eckhaus effect. We provide an explanation for the fast transition to chaos showing that the parameter interval, where the transition from a stable periodic state to chaos occurs, scales like the inverse square of the number of oscillators in the ring.",
keywords = "Coupled oscillators, Duffing, Spatio-temporal structures, Transition to chaos",
author = "P. Perlikowski and S. Yanchuk and M. Wolfrum and A. Stefanski and Tomasz Kapitaniak",
note = "Publisher Copyright: {\textcopyright} Springer Science+Business Media Dordrecht 2013.; IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, 2010 ; Conference date: 27-07-2010 Through 30-07-2010",
year = "2013",
doi = "10.1007/978-94-007-5742-4\_5",
language = "English",
isbn = "9789400757417",
series = "IUTAM Bookseries",
publisher = "Springer Verlag",
pages = "63--72",
editor = "Giuseppe Rega and Marian Wiercigroch",
booktitle = "IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design - Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design",
address = "Germany",
}