Journal of Vibration Testing and System Dynamics 9(3) (2025) 233--247 | DOI:10.5890/JVTSD.2025.09.003

Vijay K. Shukla

Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital-263001, Uttarakhand, India

Abstract

In this paper, complex projective synchronization (CPS) is discussed to understand the different aspects of chaotic systems. Firstly, CPS for integer-order and fractional-order chaotic systems is investigated. Later, in case of CPS the influence of time-delay on chaotic systems is broadly investigated. Control functions are derived using the adaptive control technique in all circumstances. The behavior and various dynamical features of complex dynamical systems are theoretically investigated. Lastly, numerical results agreed with the theoretical hypothesis.

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