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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

Study of Synchronization between Fractional-Order Chaotic Systems via Matrix Projective Method

Discontinuity, Nonlinearity, and Complexity 14(2) (2025) 279--292 | DOI:10.5890/DNC.2025.06.003

Vijay K. Shukla

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

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Abstract

This article studied matrix projective synchronization (MPS) between chaotic systems with hyperbolic nonlinearity. The sufficient conditions for achieving matrix projective synchronization between coupled integer-order and fractional-order chaotic systems with hyperbolic nonlinearities have investigated. In case of matrix projective synchronization the controllers have designed to synchronize chaotic systems. In addition, numerical simulation is discussed to analyze theoretical study. It is also obtained that numerical results are agreed with theoretical results.

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