A note on global stability of a degenerate diffusion avian influenza model with seasonality and spatial Heterogeneity

Li, Wenjie; Guan, Yajuan; Cao, Jinde; Xu, Fei

doi:10.1016/j.aml.2023.108884

Cited by 6 publications

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is widely acknowledged that real-world models exhibit nonlinearity as a fundamental characteristic. Consequently, the dynamics of these models are mathematically depicted using nonlinear ODEs [19][20][21][22][23]. Kpomahou et al [24] introduced the real Rayleigh-van-der-Pol-Duffing oscillator (RVDO) as: 2 )…”

Section: Introductionmentioning

confidence: 99%

Complex Rayleigh–van-der-Pol–Duffing Oscillators: Dynamics, Phase, Antiphase Synchronization, and Image Encryption

Al Themairi,

Mahmoud,

Farghaly

et al. 2023

Fractal Fract

View full text Add to dashboard Cite

This paper introduces the complex Rayleigh–van-der- Pol–Duffing oscillators (RVDOs), which are hyperchaotic and can be autonomous or nonautonomous. The fundamental dynamics of the autonomous and nonautonomous complex RVDOs, including dissipation, symmetry, fixed points, and stability, are studied. These oscillators are found in various necessary fields of physics and engineering. The paper proposes a scheme to achieve phase synchronization (PS) and antiphase synchronization (APS) for different dimensional models. These kinds of synchronization are considered a generalization of several other types of synchronization. We use the active control method based on Lyapunov’s stability theory for this scheme. By analytically determining the control functions, the scheme achieved PS and APS. Our scheme is applied to study the PS of hyperchaotic behaviors for two distinct hyperchaotic nonautonomous and autonomous complex RVDOs. Additionally, the scheme is employed to achieve the APS of a chaotic real nonautonomous RVDO and a hyperchaotic complex autonomous RVDO, including those with different dimensions. Our work presents numerical results that plot the amplitudes and phases of these hyperchaotic behaviors, demonstrating the achievement of the PS and APS. The encryption and decryption of grayscale images are researched based on APS. The experimental results of image encryption and decryption are computed with information entropy, visual analysis, and histograms.

show abstract