2020
DOI: 10.3390/e22060664
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Special Characteristics and Synchronizations of Multi Hybrid-Order Chaotic Systems

Abstract: Based on advantages of integer and fractional chaotic systems, hybrid chaotic systems and their definitions and some fundamental concepts are proposed, such as hybrid degree (HD), the lowest order (LO) and the total dimension order (TDO). The preliminary properties of hybrid Lorenz systems and hybrid forms of some classic chaotic systems are studied. Then, the relations between HD, LO and TDO with different parameters is investigated in chaotic systems. To be specific, HD is associated with fractional order. I… Show more

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Cited by 4 publications
(1 citation statement)
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“…The synchronization of complex dynamic chaotic systems can not only reveal many natural phenomena, but also has many applications in image processing, security communication, and mechanical engineering (see [ 1 , 2 , 3 , 4 , 5 ]). Many different synchronization modes have been well-studied, such as combination synchronization, phase synchronization, projection synchronization, and lag synchronization, and many important results have been obtained (see [ 6 , 7 , 8 , 9 , 10 , 11 ]). A chaotic system with time-delay is better for describing a real physical process than a chaotic system without time-delay.…”
Section: Introductionmentioning
confidence: 99%
“…The synchronization of complex dynamic chaotic systems can not only reveal many natural phenomena, but also has many applications in image processing, security communication, and mechanical engineering (see [ 1 , 2 , 3 , 4 , 5 ]). Many different synchronization modes have been well-studied, such as combination synchronization, phase synchronization, projection synchronization, and lag synchronization, and many important results have been obtained (see [ 6 , 7 , 8 , 9 , 10 , 11 ]). A chaotic system with time-delay is better for describing a real physical process than a chaotic system without time-delay.…”
Section: Introductionmentioning
confidence: 99%