Generalized Combination Complex Synchronization of New Hyperchaotic 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 10 in Chaos in Complex Dynamical System: Theory and Application, 2026, pp 169-184 from Springer

Abstract: Abstract Combination complex synchronization is a specialized form of synchronization observed in complex chaotic systems, characterized by a unique coupling mechanism where multiple drive systems interact with a single response system [172, 173]. In this chapter, based on two drive complex systems and one response complex system with different dimensions, we propose generalized combination complex synchronization and design a general controller. Additionally, we investigate generalized combination complex synchronization between real systems and complex systems via two complex scaling matrices. In the following, a new hyperchaotic complex system is presented and its dynamical properties are discussed.

Date: 2026
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DOI: 10.1007/978-981-95-7762-0_10

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