At high concentration, free swimming nematodes known as vinegar eels (Turbatrix aceti),
collectively exhibit metachronal waves near a boundary. We find that the frequency of the …

Finding equilibria of the finite size Kuramoto model amounts to solving a nonlinear system of
equations, which is an important yet challenging problem. We translate this into an algebraic …

In this paper, the 2D-Kuramoto model with many-body interactions is studied. The study
found that a certain oscillator will generate a spiral spin wave centered on itself after a …

Determining the number of stable phase-locked solutions for locally coupled Kuramoto
models is a long-standing mathematical problem with important implications in biology …

The number N of stable fixed points of locally coupled Kuramoto models depends on the
topology of the network on which the model is defined. It has been shown that cycles in …

We propose a methodology to analyze synchronization in an ensemble of diffusively
coupled multistable systems. First, we study how two bidirectionally coupled multistable …

Neurons are traditionally grouped in two excitability classes, which correspond to two
different responses to external inputs, called phase response curves (PRCs). In this paper …

Abstract We study the Kuramoto–Sakaguchi model composed by N identical phase
oscillators symmetrically coupled. Ranging from local (one-to-one, R= 1 R= 1) to global (all …

In this work, we investigate the impact of mixed coupling on synchronization in a multiplex
oscillatory network. The network mimics the neural–glial systems by incorporating …

Understanding the sensitivity of a system's behavior with respect to parameter changes is
essential for many applications. This sensitivity may be desired—for instance, in the brain …