Dynamic behaviors in two-layer coupled oscillator system

Wang, Yi; Xue, Yu; Wang, Xue; Cen, Bingling; Qiao, Yanfeng

doi:10.1016/j.chaos.2020.110454

Cited by 3 publications

(4 citation statements)

References 30 publications

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“…Here, the positive constants l θ and l k are chosen appropriately. The additional control law α(t) is chosen as (17):…”

Section: Adaptive Observer Based Synchronization Of the Proposed Hype...mentioning

confidence: 99%

“…If we modify (24) with the adaptation law given in (15) and the control law given in (17), we obtain (25):…”

Section: Adaptive Observer Based Synchronization Of the Proposed Hype...mentioning

confidence: 99%

“…Synchronization has gained attention in the context of hyperchaotic systems, especially with the growing focus on secure communication applications [16]. In order to attain coherence, synchronization entails changing the dynamic behaviors of two systems, referred to as the driver and reaction [17]. In an effort to compel the response system to synchronize with the driving system, the notion of synchronization in chaotic systems was first presented in 1990 [18].…”

Section: Introductionmentioning

confidence: 99%

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Synchronization and Application of a Novel Hyperchaotic System Based on Adaptive Observers

Ozpolat,

Gulten

2024

Applied Sciences

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This paper explores the synchronization and implementation of a novel hyperchaotic system using an adaptive observer. Hyperchaotic systems, known for possessing a greater number of positive Lyapunov exponents compared to chaotic systems, present unique challenges and opportunities in control and synchronization. In this study, we introduce a novel hyperchaotic system, thoroughly examining its dynamic properties and conducting a comprehensive phase space analysis. The proposed hyperchaotic system undergoes validation through circuit simulation to confirm its behavior. Introducing an adaptive observer synchronization technique, we successfully synchronize the dynamics of the novel hyperchaotic system with an identical counterpart. Importantly, we extend the application of this synchronization method to the domain of secure communication, showcasing its practical usage. Simulation outcomes validate the effectiveness of our methodology, demonstrating favorable results in the realm of adaptive observer-based synchronization. This research contributes significantly to the understanding and application of hyperchaotic systems, offering insights into both the theoretical aspects and practical implementation. Our findings suggest potential advancements in the field of chaotic systems, particularly in their applications within secure communication systems. By presenting motivations, methods, results, conclusions and the significance of our work in a more appealing manner, we aim to engage readers and highlight the innovative contributions of this study.

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“…Here, the positive constants l θ and l k are chosen appropriately. The additional control law α(t) is chosen as (17):…”

Section: Adaptive Observer Based Synchronization Of the Proposed Hype...mentioning

confidence: 99%

“…If we modify (24) with the adaptation law given in (15) and the control law given in (17), we obtain (25):…”

Section: Adaptive Observer Based Synchronization Of the Proposed Hype...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Synchronization and Application of a Novel Hyperchaotic System Based on Adaptive Observers

Ozpolat,

Gulten

2024

Applied Sciences

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“…chimera states [18]. Chimera states are a special state in which coherent and incoherent states coexist in an identical system [19][20][21][22][23][24][25].…”

mentioning

confidence: 99%

Turing patterns on coupled phase oscillator chains with localized many-body interactions

Luo

Xue

Huang

et al. 2023

EPL

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This document describes the epl2 document class, used to typeset papers for EPL, the journal jointly published by Societ`a Italiana di Fisica, Italy, EDP Sciences, France, IOP Publishing, UK, under the scientiﬁc control of the European Physical Society.In this paper, coupled-phase oscillator chains with localized three-body interactions are studied. Systems have rich patterns such as chimera and twisted states. The coupled-phase oscillator chains have long-range two-body interactions and short-range three-body interactions, which respectively play the role of long-range inhibition of short-range activation, just like inhibitors and activators in traditional reaction-diffusion systems. The role of three -body interaction in the system is studied through the Turing pattern diagram and the critical point of Turing instability is obtained. When Turing instability occurs, system approaches to twisted states and chimera states. The study indicates that long-range inhibition and short-range activation give an explanation for the formation of such coherent-incoherent modes such as chimera states, and that three-body interactions are good candidates as activators of the system. Our study can be applied to many-body interacting systems.

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