Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit

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Nadjet Boudjerida
Mohammed Salah Abdelouahab
René Lozi


This paper investigates the modified projective synchronization (MPS) between two hyperchaotic memristor-based Chua circuits modeled by two nonlinear integer-order and fractional-order systems. First, a hyperchaotic memristor-based Chua circuit is suggested, and its dynamics are explored using different tools, including stability theory, phase portraits, Lyapunov exponents, and bifurcation diagrams. Another interesting property of this circuit was the coexistence of attractors and the appearance of mixed-mode oscillations. It has been shown that one can achieve MPS with integer-order and incommensurate fractional-order memristor-based Chua circuits. Finally, examples of numerical simulation are presented, showing that the theoretical results are in good agreement with the numerical ones.


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Boudjerida, N., Abdelouahab, M.S. and Lozi, R. 2022. Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit. Journal of Innovative Applied Mathematics and Computational Sciences. 2, 3 (Dec. 2022), 69–85. DOI:
Research Articles
Author Biographies

Nadjet Boudjerida, Constantine 1 University




Mohammed Salah Abdelouahab, Centre Universitaire de Mila




René Lozi, Université Côte d'Azur





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