# On a deformed version of the T system

## TL;DR

This paper applies integrable deformation techniques to a three-dimensional T system, exploring how certain deformations affect its chaotic behavior and identifying parameter ranges where chaos persists.

## Contribution

It introduces a specific deformation of the T system using integrable deformation methods and analyzes its impact on the system's dynamics.

## Key findings

- Deformation preserves chaos for specific parameter values
- Deformed system maintains integrability properties
- Identifies conditions under which chaos persists

## Abstract

We use the integrable deformations method for a three-dimensional system of differential equations to obtain deformations of the T system. We analyze a deformation given by particular deformation functions. We point out that the obtained system preserves the chaotic behavior for some values of the deformation parameter.