Introduction and Preliminary Knowledge

Shutang Liu (), Ping Liu (), Cuimei Jiang () and Changan Liu ()
Additional contact information
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 1 in Chaos in Complex Dynamical System: Theory and Application, 2026, pp 1-8 from Springer

Abstract: Abstract As a branch of dynamic system, the chaotic system is closely connected with nature and people’s life [1–4]. At present, the chaotic system has been widely used in biology, finance and engineering and other disciplines [5–7]. It is closely related to fractal geometry, mixed and pure theory, bifurcation theory and other fields, and is the focus of current research [8, 9]. Synchronization of the chaotic system and its application to secure communication is an interesting research area [10–12], and it has attracted broad attention [13]. Some preliminary knowledge such as chaos definition and characters, chaos synchronization, chaos control and some important theorems are introduced in this chapter.

Date: 2026
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DOI: 10.1007/978-981-95-7762-0_1

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