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ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Control Analysis and Function Projective Anti-Synchronization between Time-Delay Chaotic Systems

Journal of Vibration Testing and System Dynamics 10(2) (2026) 147--159 | DOI:10.5890/JVTSD.2026.06.004

Vijay K. Shukla$^{1,2}$, Mahesh C. Joshi$^{2}$, Ajit K. Singh$^{3}$

$^{1}$ Department of Mathematics, Shiv Harsh Kisan P.G. College, Basti-272001, India

$^{2}$ Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital-263001, Uttarakhand, India

$^{3}$ School of Technology Management and Engineering, SVKM's Narsee Monjee Institute of Management Studies, Indore, Madhya Pradesh-453112, India

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Abstract

Chaos analysis and its control are essential issues in nonlinear dynamics due to their extensive applications in several domains. In order to analyze chaotic system, this article examines two control strategies such as passive control and linear feedback control. To assess system stability, dynamical stability is analyzed by using Lyapunov stability theory. Passive and linear feedback control procedures are utilized to examine the stable state of state vector of chaotic system. Further, generalized function projective anti-synchronization is explored to analyze time-delay chaotic systems. Theoretical analysis and numerical findings demonstrate the efficacy of present methods.

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