Multistable attractors in a network of phase oscillators with three-body interaction

2011/04/30 by Takuma Tanaka, Toshio Aoyagi · 4 citations
Physics and Astronomy · #nlin.AO

paper · pdf · doi:10.1103/physrevlett.106.224101

published as Phys. Rev. Lett. 106, 224101 (2011) · 5 pages, 3 figures

arxiv created 2011/04/30 · arxiv updated 2014/01/15

Abstract

Three-body interactions have been found in physics, biology, and sociology. To investigate their effect on dynamical systems, as a first step, we study numerically and theoretically a system of phase oscillators with three-body interaction. As a result, an infinite number of multistable synchronized states appear above a critical coupling strength, while a stable incoherent state always exists for any coupling strength. Owing to the infinite multistability, the degree of synchrony in asymptotic state can vary continuously within some range depending on the initial phase pattern.

Cited by

• Frequency Heterogeneity can Promote Order yet Undermine Stability in Kuramoto Networks with Higher-Order Interactions
• Synchronization of topological signals in higher-order adaptive multilayer network
• On the efficiency of pairwise Hamiltonian control to desynchronize the higher-order Kuramoto model
• Kuramoto model on the D-dimensional torus

Related

• Multistability in dynamical systems
• Transients versus network interactions give rise to multistability through trapping mechanism
• Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes
• Partial synchronization phenomena in networks of identical oscillators with non-linear coupling
• Higher-order interactions induce anomalous transitions to synchrony