Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances

He, Shaobo; Fataf, N. A. A.; Banerjee, Santo; Sun, Kehui

doi:10.1016/j.physa.2019.04.140

Cited by 24 publications

(10 citation statements)

References 25 publications

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“…Chaos widely exits in nature and man-made systems including those biological systems [20][21][22][23][24]. According to the famous Logistic map, it shows that the natural evolution of the population size could be chaotic.…”

Section: Introductionmentioning

confidence: 99%

SEIR modeling of the COVID-19 and its dynamics

2020

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In this paper, a SEIR epidemic model for the COVID-19 is built according to some general control strategies, such as hospital, quarantine and external input. Based on the data of Hubei province, the particle swarm optimization (PSO) algorithm is applied to estimate the parameters of the system. We found that the parameters of the proposed SEIR model are different for different scenarios. Then, the model is employed to show the evolution of the epidemic in Hubei province, which shows that it can be used to forecast COVID-19 epidemic situation. Moreover, by introducing the seasonality and stochastic infection the parameters, nonlinear dynamics including chaos are found in the system. Finally, we discussed the control strategies of the COVID-19 based on the structure and parameters of the proposed model.

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Section: Introductionmentioning

confidence: 99%

SEIR modeling of the COVID-19 and its dynamics

2020

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“…Spectral entropy (SE) algorithm is based on the Fourier transform to calculate the relative power spectrum and the Shannon entropy to calculate the SE complexity of the sequence, which reflects the disorder of time series in the frequency domain [81]. If the spectrum of the sequence is more complex, the SE of the chaotic system will be larger, making the system more complex, otherwise the system complexity is low [82]. Generally, the SE algorithm can be described as follows: given a chaotic random sequence…”

Section: Complexity Analysis Of Spectral Entropymentioning

confidence: 99%

Dynamic Analysis, Circuit Design, and Synchronization of a Novel 6D Memristive Four-Wing Hyperchaotic System with Multiple Coexisting Attractors

Liu

Shen

et al. 2020

Complexity

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In this work, a novel 6D four-wing hyperchaotic system with a line equilibrium based on a flux-controlled memristor model is proposed. The novel system is inspired from an existing 5D four-wing hyperchaotic system introduced by Zarei (2015). Fundamental properties of the novel system are discussed, and its complex behaviors are characterized using phase portraits, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy. When a suitable set of parameters are chosen, the system exhibits a rich repertoire of dynamic behaviors including double-period bifurcation of the quasiperiod, a single two-wing, and four-wing chaotic attractors. Further analysis of the novel system shows that the multiple coexisting attractors can be observed with different system parameter values and initial values. Moreover, the feasibility of the proposed mathematical model is also presented by using Multisim simulations based on an electronic analog of the model. Finally, the active control method is used to design the appropriate controller to realize the synchronization between the proposed 6D memristive hyperchaotic system and the 6D hyperchaotic Yang system with different structures. The Routh–Hurwitz criterion is used to prove the rationality of the controller, and the feasibility and effectiveness of the proposed synchronization method are proved by numerical simulations.

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“…Fourier transform, the SampEn algorithm is used to calculate the relative power spectrum and spectral entropy complexity of the sequence in combination with the Shannon entropy [66][67][68]. Its function is to analyze the complexity and security of the chaotic system.…”

Section: Spectral Entropy Complexity Analysis Based On Thementioning

confidence: 99%

Pseudorandom Number Generator Based on Three Kinds of Four-Wing Memristive Hyperchaotic System and Its Application in Image Encryption

Chen

Qian

et al. 2020

Complexity

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In this paper, we propose a method to design the pseudorandom number generator (PRNG) using three kinds of four-wing memristive hyperchaotic systems (FWMHSs) with different dimensions as multientropy sources. The principle of this method is to obtain pseudorandom numbers with good randomness by coupling XOR operation on the three kinds of FWMHSs with different dimensions. In order to prove its potential application in secure communication, the security of PRNG based on this scheme is analyzed from the perspective of cryptography. In addition, PRNG has passed the NIST 800.22 and ENT test, which shows that PRNG has good statistical characteristics. Finally, an image encryption algorithm based on PRNG is adopted. In the encryption algorithm, the optimized Arnold matrix scrambling method and the diffusion processing based on XOR are used to obtain the final encrypted image. Through the evaluation of encryption performance, it is concluded that there is no direct relationship between the pristine image and encrypted image. The results show that the proposed image encryption scheme has good statistical output characteristics and security performance in line with cryptography.

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Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances

Cited by 24 publications

References 25 publications

SEIR modeling of the COVID-19 and its dynamics

SEIR modeling of the COVID-19 and its dynamics

Dynamic Analysis, Circuit Design, and Synchronization of a Novel 6D Memristive Four-Wing Hyperchaotic System with Multiple Coexisting Attractors

Pseudorandom Number Generator Based on Three Kinds of Four-Wing Memristive Hyperchaotic System and Its Application in Image Encryption

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