Fractional-order chaotic system with hyperbolic function

Gugapriya, G; Duraisamy, Prakash; Karthikeyan, Anitha; Lakshmi, B.

doi:10.1177/1687814019872581

Cited by 12 publications

(4 citation statements)

References 42 publications

(40 reference statements)

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“…The proposed chaotic attractor characteristics is determined when a = 2, b = 6, c = 6, d = 3, e = 3, f = 1, p 1 = 1, g = 2 and chosen beginning conditions which varies from 1 to 5.5. However as discussed in, 34 multi scroll properties are exhibited for the initial condition which varies from 0.1 to 0.6. The mathematical expressions for the proposed multi-scroll attractors are given below and phase components of the multi-scroll attractors are shown in Figure 5.…”

Section: D Multi Scroll Hyperchaotic Systemsmentioning

confidence: 91%

B‐SCORE – A blockchain based hybrid chaotic signatures for medical image encryption in an IoT environment

Bhama

2022

Concurrency and Computation

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Internet of things (IoT) has evolved exponentially in the recent years and its applications are also being explored in the medical field. Due to this, the volume of medical images transmitted has increased multifold. Usage of IoT networks for medical image transmission has significantly reduced the time needed for clinical diagnosis and thereby increasing treatment efficiency. However at present, IoT networks are open to various security threats, which may affect the sensitive and private information that are present in patient's medical image datasets. Existing studies reveal the need of improvisation for secured medical data transmission over IoT networks. In the context to IoT security issues, this research paper proposes blockchain architecture integrated with chaotic encrypted medical image transmission to ensure the high security in medical image transmission. The proposed system incorporates tri-layered architecture such as Image Aware Segmentation (IAS), hybrid chaotic encryption scheme and finally blockchain environment. The extensive experimentation has been carried out in which the performance parameters such as entropy, NACI and UACI (Number of Pixel Change Ratio and Unified Average Changed Intensity) were calculated and analyzed. It is found that the proposed architecture has NPCR as 99.65%, UACI as 33.95% and entropy ideally close to 8. Encryption results show that the proposed architecture exhibited more randomness, which can defend the IoT security threats.

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Section: D Multi Scroll Hyperchaotic Systemsmentioning

confidence: 91%

B‐SCORE – A blockchain based hybrid chaotic signatures for medical image encryption in an IoT environment

Bhama

2022

Concurrency and Computation

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“…Hence it proves that the system holds multiscroll property. Equation 4 can be changed using derivative properties to procure Multi scroll 3D fractional integer-order chaotic systems as broached in [21]. Finally, the high rise dynamic chaotic system shows multi scroll properties as shown in Figure 6.…”

Section: ) Image Encryption Mechanismmentioning

confidence: 99%

CES Blocks—A Novel Chaotic Encryption Schemes-Based Blockchain System for an IoT Environment

Durga

Poovammal

Ramana³

et al. 2022

IEEE Access

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With the advent of the Internet of Things (IoT), smart devices have now changed their dimensions to provide applications in different domains such as medical, agriculture, and Industry 4.0. Although IoT provides more diversified applications, enhancing the security in IoT remains on the darker side of the research. Traditional IoT systems involve a third party to secure sensitive data during transmission in an IoT environment which can lead to complex and serious problems. To overcome security issues and eradicate third-party involvement, Blockchain technology is the modern-day solution in an IoT environment. In the context of a Secured IoT system, we proposed a novel chaotic encryption-based blockchain-IoT architecture to clinch the security and privacy of data. Since smart sensors and image sensors are used widely in an IoT environment, the proposed scheme was tested with different image sets to evaluate performance metrics such as Number of Pixel Change Rate (NPCR), Unified Averaged Changed Intensity (UACI), Correlation Coefficients, and entropy under different attack scenarios. We obtained an NPCR of 99.65%, a UACI of 34%, and an entropy value close to 8. These values incite that the novel chaotic encryption-based blockchain-IoT architecture will be safe from IoT attacks. Results showed that integrating chaotic encrypted blockchain architecture with IoT could be more effective in defending attacks.

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“…Investigating the stability property in fractional order (FO) systems is definitely a challengeable one. Fractional order systems consist more system coefficients and the complexity of the system is positively correlated to the system's dimension [13][14][15]. Studies on fractional order controllers shows the abundant possible combinations and provides a platform to develop reliable as well as configurable control schemes.…”

Section: Introductionmentioning

confidence: 99%

Stability of synchronisation manifold in coupled fractional order nonlinear oscillators: a master stability function approach

Rajagopal¹,

Jafari

Duraisamy³

et al. 2023

Preprint

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Master stability function (MSF) plays a substantial role in understanding the synchronisation behaviour of coupled nonlinear oscillators. Recent attention in the fractional calculus and its applications in nonlinear dynamics has expanded to investigate the network dynamics of them. Hence, we derive the MSF for couped fractional order nonlinear oscillators and investigate their relation with coupling strength and fractional order. To make the comparison between integer and fractional order MSF, we have used well known nonlinear oscillators for investigation. Similar to the integer order, the fractional order coupled nonlinear oscillators too exhibit MSFs which are analysed for existence of negative with in the finite interval of normalized coupling parameter value. We have used the same classifications of integer order MSFs to define different classes for fractional order MSF’s. By using numerical simulations, we could show that majority of fractional order coupled oscillators exhibit higher classes of MSF confirming better synchronisation compared to their integer order counterparts.

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Fractional-order chaotic system with hyperbolic function

Cited by 12 publications

References 42 publications

B‐SCORE – A blockchain based hybrid chaotic signatures for medical image encryption in an IoT environment

B‐SCORE – A blockchain based hybrid chaotic signatures for medical image encryption in an IoT environment

CES Blocks—A Novel Chaotic Encryption Schemes-Based Blockchain System for an IoT Environment

Stability of synchronisation manifold in coupled fractional order nonlinear oscillators: a master stability function approach

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