arXiv Open Access 2013

Coarse-grained description of general oscillator networks

Yuki Izumida Hiroshi Kori

Lihat Sumber

Abstrak

We propose a novel and systematic method for coarse-graining oscillator networks described by phase equations. Our coarse-graining method enables us to obtain the closed coarse-grained equations for a few effective eigenmodes, which is based on the eigenvalue problem of the linearized system around the phase-locked solution and a nonlinear transformation. We demonstrate our method by applying it to oscillator dynamics on a random graph, which exhibits a saddle-node bifurcation at the bifurcation point.

Topik & Kata Kunci

nlin.AO cond-mat.stat-mech

Penulis (2)

Yuki Izumida

Hiroshi Kori

Format Sitasi

APA MLA BibTeX

Izumida, Y., Kori, H. (2013). Coarse-grained description of general oscillator networks. https://arxiv.org/abs/1311.0917

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓