Noncommutative Sprott systems and their jerk dynamics

TL;DR

This paper introduces noncommutative versions of Sprott systems, deriving complex differential equations and analyzing their jerk dynamics, including a numerical study of the deformed Sprott-A system.

Contribution

It presents the first formulation of noncommutative Sprott models and explores their complex dynamics and jerk behavior.

Findings

Derived complex differential equations for noncommutative Sprott systems

Identified noncommutative jerk dynamics corresponding to these models

Numerically analyzed the deformed Sprott-A system's behavior

Abstract

In this article we provide the noncommutative Sprott models. We demonstrate, that effectively, each of them is described by system of three complex, ordinary and nonlinear differential equations. Apart of that, we find for such modified models the corresponding (noncommutative) jerk dynamics as well as we study numerically as an example, the deformed Sprott-A system.