期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 33, 期 10, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127423501225
关键词
Synchronization; master stability function; simple chaotic system
This paper investigates various chaotic systems and finds the simplest cases that exhibit similar synchronization patterns, based on the master stability function approach.
Synchronization is a prominent phenomenon in coupled chaotic systems. The master stability function (MSF) is an approach that offers the prerequisites for the stability of complete synchronization, which is dependent on the coupling configuration. In this paper, some basic chaotic systems with the general form of the Sprott-A, Sprott-B, Sprott-D, Sprott-F, Sprott-G, Sprott-O, and Jerk systems are considered. For each system, their parametric form is designed, and constraints required to have similar MSFs in different coupling schemes are determined. Then, the parameters of the designed chaotic systems are found through an exhaustive computer search seeking chaotic solutions. The simplest cases found in this way are introduced, and similar synchronization patterns are confirmed numerically.
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