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Design of time-delayed connection parameters for inducing amplitude death in high-dimensional oscillator networks.
- Source :
- Chaos; Dec2014, Vol. 24 Issue 4, p1-11, 11p, 3 Diagrams, 4 Graphs
- Publication Year :
- 2014
-
Abstract
- The present paper studies time-delayed-connection induced amplitude death in high-dimensional oscillator networks. We provide two procedures for design of a coupling strength and a transmission delay: these procedures do not depend on the topology of oscillator networks (i.e., network structure and number of oscillators). A graphical procedure based on the Nyquist criterion is proposed and then is numerically confirmed for the case of five-dimensional oscillators, called generalized Rossler oscillators, which have two pairs of complex conjugate unstable roots. In addition, for the case of high-dimensional oscillators having two unstable roots, the procedure can be systematically carried out using only a simple algebraic calculation. This systematic procedure is numerically confirmed for the case of three-dimensional oscillators, called Moore-Spiegel oscillators, which have two positive real unstable roots. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10541500
- Volume :
- 24
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Chaos
- Publication Type :
- Academic Journal
- Accession number :
- 100228546
- Full Text :
- https://doi.org/10.1063/1.4896318