# Mechanical Motion Induced by Spatially Distributed Limit-Cycle Oscillators

## TL;DR

This paper investigates how spatially distributed limit-cycle oscillators induce mechanical motions such as deformation waves and beating in biological systems, revealing resonance phenomena and the impact of chaos on heart rhythm.

## Contribution

It introduces a simple model to analyze mechanical motions driven by limit-cycle oscillators, highlighting resonance effects and the transition to chaos affecting heart dynamics.

## Key findings

- Resonance-like deformation waves can transport particles.
- Spiral chaos disrupts synchronized heart beating.
- Mechanical motions are modeled using simple equations.

## Abstract

Spatially distributed limited-cycle oscillators are seen in various physical and biological systems. In internal organs, mechanical motions are induced by the stimuli of spatially distributed limit-cycle oscillators. We study several mechanical motions by limit-cycle oscillators using simple model equations. One problem is deformation waves of radius oscillation induced by desynchronized limit-cycle oscillators, which is motivated by peristaltic motion of the small intestine. A resonance-like phenomenon is found in the deformation waves, and particles can be transported by the deformation waves. Another is the beating motion of the heart. The expansion and contraction motion is realized by a spatially synchronized limit-cycle oscillation; however, the strong beating disappears by spiral chaos, which is closely related to serious arrhythmia in the heart.