  Swarmalators are entities that swarm through space and sync in time and are
potentially considered to replicate the complex dynamics of many real-world
systems. So far, the internal dynamics of swarmalators have been taken as a
phase oscillator inspired by the Kuramoto model. Here, for the first time, we
examine the internal dynamics utilizing an amplitude oscillator capable of
exhibiting periodic and chaotic behaviors. To incorporate the dual interplay
between spatial and internal dynamics, we propose a general model that keeps
the properties of swarmalators intact. This adaptation calls for a detailed
study which we present in this paper. We establish our study with the Rossler
oscillator by taking parameters from both the chaotic and periodic regions.
While the periodic oscillator mimics most of the patterns in the previous phase
oscillator model, the chaotic oscillator brings some new fascinating states.
