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

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Chaos Theory and Applications
Volume:5 Issue:2
Bifurcation Analysis and 0-1 Chaos Test of a Discrete T System

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

Authors : Sarker Md Sohel RANA

Pages : 90-104

Doi:10.51537/chaos.1214284

View : 124 | Download : 110

Publication Date : 2023-07-31

Article Type : Research Paper

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 Sackerinsert ignore into journalissuearticles values(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

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