# Period proliferation in periodic states in cyclically sheared jammed solids

## TL;DR

This paper investigates how jammed solids under oscillatory shear exhibit increasingly complex periodic behaviors with longer cycles as they approach the jamming transition, revealing a proliferation of longer-period states.

## Contribution

It uncovers the emergence of longer-period periodic states near the jamming point in sheared jammed solids, expanding understanding of their dynamic response.

## Key findings

- Longer-period states become more common near jamming
- Proliferation of multiple-cycle periodic states as pressure decreases
- System exhibits complex periodicity with increasing jamming proximity

## Abstract

Athermal disordered systems can exhibit a remarkable response to an applied oscillatory shear: after a relatively few shearing cycles, the system falls into a configuration that had already been visited in a previous cycle. After this point the system repeats its dynamics periodically despite undergoing many particle rearrangements during each cycle. We study the behavior of orbits as we approach the jamming point in simulations of jammed particles subject to oscillatory shear at fixed pressure and zero temperature. As the pressure is lowered, we find that it becomes more common for the system to find periodic states where it takes multiple cycles before returning to a previously visited state. Thus, there is a proliferation of longer periods as the jamming point is approached.