Combination Complex Synchronization of Fractional-Order Chaotic Complex Systems

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 16 in Chaos in Complex Dynamical System: Theory and Application, 2026, pp 261-279 from Springer

Abstract: Abstract Many researchers have made an endeavor to analyze synchronization of multi chaotic systems and present some new types of synchronization including combination synchronization [238–241], combination complex synchronization [242], combination-combination synchronization [243–246], compound synchronization [247–249], and so forth. Amongst the above-mentioned synchronization, combination complex synchronization, characterized by two scaling matrices that three chaotic systems synchronize proportionally, was proposed and studied on the basis of three integer-order chaotic complex systems with the same dimensions. The aim of this chapter is to study combination complex synchronization of fractional-order chaotic nonlinear systems. This chapter discusses the general method to realize combination complex synchronization among three commensurate fractional-order complex systems in the sense of Lyapunov in detail. Combination complex synchronization of fractional-order chaotic complex systems with incommensurate orders is investigated based on the stability theory of incommensurate fractional-order systems and active control method.

Date: 2026
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-95-7762-0_16

Ordering information: This item can be ordered from
http://www.springer.com/9789819577620

DOI: 10.1007/978-981-95-7762-0_16

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().