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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Finite-time Generalized and Modified Generalized Projective Synchronization between Chaotic and Hyperchaotic Systems with External Disturbances

Discontinuity, Nonlinearity, and Complexity 13(1) (2024) 157--172 | DOI:10.5890/DNC.2024.03.012

Vijay K. Shukla

Department of Mathematics, Shiv Harsh Kisan P.G. College, Basti-272001, India

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Abstract

In this paper, two different types of synchronization between different chaotic systems with external disturbances in finite-time have been discussed. Further, chaotic and hyperchaotic systems have synchronized up to a desired transformation matrix. To numerically simulate generalized synchronization T chaotic system and a hyperchaotic system have been considered. In addition, modified generalized projective synchronization has been analyzed theoretically and numerically. Numerical results have shown through graphically and agreed with theoretical analysis.

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