Imperfect chimeras in a ring of four-dimensional simplified Lorenz systems

Fatemeh Parastesh, Sajad Jafari, Hamed Azarnoush, Boshra Hatef and Anastasios Bountis

Chaos, Solitons & Fractals, 2018, vol. 110, issue C, 203-208

Abstract: Analyzing the dynamics of networks of coupled oscillators possessing chimera states has attracted considerable attention in recent years. Here we study a ring of coupled 4D simplified Lorenz systems whose prototype was first studied by Li and Sprott [1]. An interesting feature of this system is the coexistence of a limit cycle and two symmetric strange attractors for some specific range of parameters. Investigating a network of this type under long range interactions, we find a multitude of very interesting chimera multi-chimera states, whose appearance we relate to initial conditions chosen within the basins of attraction of the limit cycle and strange attractor of the individual 4D system. Thus, for sufficiently low coupling, selecting more and more initial conditions from the strange attractor basins leads to one or more “rebel” particles departing from the synchronous group and producing fascinating “imperfect” chimera states. For larger coupling these “rebels” multiply and the system develops what one might call “perfect” chimera states with multiple “heads”.

Keywords: Imperfect chimera; Imperfect synchronization; Multi-chimera state; Coupled oscillators (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077918301218
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:110:y:2018:i:c:p:203-208

DOI: 10.1016/j.chaos.2018.03.025

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().