Delay factors in the genesis of limit sets of the non-ideal system "tank with liquid-electric motor"

TL;DR

This paper investigates how delay factors influence the emergence, evolution, and disappearance of regular and chaotic attractors in a non-ideal tank-liquid-electric motor system, revealing delay-driven transition to chaos.

Contribution

It introduces two delay-approximation models and analyzes their impact on the system's limit sets and chaos transition scenarios.

Findings

Delay affects the emergence and disappearance of attractors.

Generalized intermittency driven by delay factors is established.

Transition to chaos scenarios are characterized.

Abstract

Non-ideal deterministic system "tank with liquid-electric motor" is studied. Two delay-approximation models are considered. Impact of the delay on the emergence, evolution and disappearance of regular and chaotic limit sets (attractors) of the system is investigated. The main dynamic characteristics of the system's steady-state regimes are computed and analyzed. Transition to chaos scenarios are studied. Realization of generalized intermittency scenario driven by delay factors is established.