Anti-synchronization of Fractional-Order Chaotic Complex Systems

Shutang Liu (), Ping Liu (), Cuimei Jiang () and Changan Liu ()
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Shutang Liu: Shandong University, School of Control Science and Engineering
Ping Liu: Shandong Agricultural University
Cuimei Jiang: Qilu University of Technology (Shandong Academy of Sciences)
Changan Liu: Shandong University

Chapter 13 in Chaos in Complex Dynamical System: Theory and Application, 2026, pp 209-233 from Springer

Abstract: Abstract Chaotic behavior and synchronization of fractional-order dynamical systems have been extensively studied over the last decade [203–211]. In this chapter, we propose a new fractional-order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors. Secondly, anti-synchronization of different fractional-order chaotic complex systems is considered based on the stability theory of fractional-order systems. Additionally, we investigate adaptive control for anti-synchronization of a class of uncertain fractional-order chaotic complex systems described by a unified mathematical expression.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-95-7762-0_13

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DOI: 10.1007/978-981-95-7762-0_13

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