Bifurcation study of phase oscillator systems with attractive and repulsive interaction
- Submitting institution
-
University of Plymouth
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 916
- Type
- D - Journal article
- DOI
-
10.1103/physreve.90.022911
- Title of journal
- Physical Review E
- Article number
- 022911
- First page
- -
- Volume
- 90
- Issue
- 2
- ISSN
- 1539-3755
- Open access status
- Out of scope for open access requirements
- Month of publication
- August
- Year of publication
- 2014
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- 9 - Physics
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- Yes
- Number of additional authors
-
2
- Research group(s)
-
-
- Citation count
- 13
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- The model describes the time dynamics of two interactive groups of phase oscillators with positive and negative connections. This system can be applied to interactive sub-systems in social sciences, physics, neuroscience, and other disciplines. The approach to study dynamical systems is entirely novel and based on combining bifurcation theory with a description of invariant manifolds. This approach allows us to find interesting and important dynamical modes which have not been known before. In particular, we provide a complete bifurcation analysis for low-dimensional cases of less than five oscillators and the bifurcation diagrams describe all dynamical modes in the parameter space.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -