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Controlling chimera states via minimal coupling modification
- Source :
- Recercat. Dipósit de la Recerca de Catalunya, instname
- Publication Year :
- 2019
- Publisher :
- American Institute of Physics (AIP), 2019.
-
Abstract
- This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 29, 051103 (2019) and may be found at https://doi.org/10.1063/1.5097570.<br />We propose a method to control chimera states in a ring-shaped network of nonlocally coupled phase oscillators. This method acts exclusively on the network’s connectivity. Using the idea of a pacemaker oscillator, we investigate which is the minimal action needed to control chimeras. We implement the pacemaker choosing one oscillator and making its links unidirectional. Our results show that a pacemaker induces chimeras for parameters and initial conditions for which they do not form spontaneously. Furthermore, the pacemaker attracts the incoherent part of the chimera state, thus controlling its position. Beyond that, we find that these control effects can be achieved with modifications of the network’s connectivity that are less invasive than a pacemaker, namely, the minimal action of just modifying the strength of one connection allows one to control chimeras.
- Subjects :
- Minimal coupling
coupled phase oscillator
Quantitative Biology::Neurons and Cognition
Computer science
Applied Mathematics
fungi
Less invasive
General Physics and Astronomy
chimera states
Statistical and Nonlinear Physics
Complex network
Topology
530 Physik
01 natural sciences
pacemaker
010305 fluids & plasmas
Chimera (genetics)
Nonlinear Sciences::Adaptation and Self-Organizing Systems
0103 physical sciences
ddc:530
010306 general physics
Mathematical Physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Recercat. Dipósit de la Recerca de Catalunya, instname
- Accession number :
- edsair.doi.dedup.....032f27cabc17c16faba3cdd55573d7a3