Bifurcation Analysis and 0-1 Chaos Test of a Discrete T System

Year 2023, Volume: 5 Issue: 2, 90 - 104, 31.07.2023

Sarker Md Sohel Rana

https://doi.org/10.51537/chaos.1214284

Cited By: 2

Abstract

This study examines discrete-time T system. We begin by listing the topological divisions of the system's fixed points. Then, we analytically demonstrate that a discrete T system sits at the foundation of a Neimark Sacker(NS) bifurcation under specific parametric circumstances. With the use of the explicit Flip-NS bifurcation criterion, we establish the flip-NS bifurcation's reality. Center manifold theory is then used to establish the direction of both bifurcations. We do numerical simulations to validate our theoretical findings. Additionally, we employ the $0-1$ test for chaos to demonstrate whether or not chaos exists in the system. In order to stop the system's chaotic trajectory, we ultimately employ a hybrid control method.

Keywords

T system, Stability, Bifurcations, Chaos control

Thanks

There is no funding for this research work. Thank you.

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