Anti-synchronization of Complex Chaotic 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 2 in Chaos in Complex Dynamical System: Theory and Application, 2026, pp 9-29 from Springer

Abstract: Abstract Numerous studies have been conducted on the anti-synchronization of nonlinear real dynamic systems [66–70], Notably, complex chaotic systems possess more abundant dynamic characteristics, rendering the research on their anti-synchronization of great significance. Firstly, this chapter proposes a novel complex chaotic system and investigates its anti-synchronization (AS) performance. Secondly, it explores the adaptive anti-synchronization problem for a class of chaotic complex nonlinear systems with unknown parameters. Based on the Lyapunov stability theory [71], an adaptive control scheme and adaptive laws of parameters are developed to anti-synchronize two chaotic complex systems.

Date: 2026
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DOI: 10.1007/978-981-95-7762-0_2

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