Journal of Vibration Testing and System Dynamics
        
        
        
        
        
            
        
         
                 Journal of Vibration Testing and System Dynamics 9(3) (2025) 281--290 | DOI:10.5890/JVTSD.2025.09.006
            
            
            Vijay K. Shukla
        
         Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital-263001, Uttarakhand, India
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        Abstract
        
            This study examines the synchronization between distributed-order chaotic systems. The primary goal is to construct control functions to synchronize the distributed-order drive and response systems by implementing Laplace transform. In addition, the fundamental characteristics of chaotic systems are examined. We describe a strategy for introducing generalized synchronization between distributed-order chaotic systems. We also discuss inverse generalized synchronization between chaotic systems with different dimensions. Ultimately, numerical simulations confirm the accuracy of the acquired outcomes.
                           
        
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