Variable-Fractional-Order Nosé–Hoover System: Chaotic Dynamics and Numerical Simulations DOI Creative Commons
D. K. Almutairi, Dalal Almutairi, Nidal E. Taha

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(5), P. 277 - 277

Published: April 25, 2025

This study explores the variable-order fractional Nosé–Hoover system, investigating evolution of its chaotic and stable states under derivatives. Variable-order derivatives introduce greater complexity adaptability into a system’s dynamics. The main objective is to examine these effects through numerical simulations, showcasing how changes in order function influence behavior. behavior shown by phase space orbits time series for various variable orders α. We look at system acts using solutions simulations. different α show effects. findings emphasize role enhancing behavior, offering novel insights their impact on dynamical systems.

Language: Английский

Multi-Focus Image Fusion Based on Fractal Dimension and Parameter Adaptive Unit-Linking Dual-Channel PCNN in Curvelet Transform Domain DOI Creative Commons
Liangliang Li, Sensen Song,

Ming Lv

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(3), P. 157 - 157

Published: March 3, 2025

Multi-focus image fusion is an important method for obtaining fully focused information. In this paper, a novel multi-focus based on fractal dimension (FD) and parameter adaptive unit-linking dual-channel pulse-coupled neural network (PAUDPCNN) in the curvelet transform (CVT) domain proposed. The source images are decomposed into low-frequency high-frequency sub-bands by CVT, respectively. FD PAUDPCNN models, along with consistency verification, employed to fuse sub-bands, average used sub-band, final fused generated inverse CVT. experimental results demonstrate that proposed shows superior performance Lytro, MFFW, MFI-WHU datasets.

Language: Английский

Citations

0
Exploring Chaos in Fractional Order Systems: A Study of Constant and Variable-Order Dynamics DOI Open Access
Reem Allogmany, Nada A. Almuallem, Reima Daher Alsemiry

et al.

Symmetry, Journal Year: 2025, Volume and Issue: 17(4), P. 605 - 605

Published: April 16, 2025

Fractional calculus generalizes well-known differentiation and integration to noninteger orders, allowing a more accurate framework for modeling complex dynamical behaviors. The application of fractional-order systems is quite wide in engineering, biology, physics because they inherently capture the memory effects long-range dependencies. Out these, fractional jerk chaotic have gained attention regarding their applications secure communication, signal processing, control systems. This work develops comparative analysis system that includes constant- variable-order derivatives contribute chaos–stability analysis. Additionally, this study uncovers novel behaviors, further expanding our understanding results yield new insights into using dynamics enable better adapt real applications.

Language: Английский

Citations

0
Variable-Fractional-Order Nosé–Hoover System: Chaotic Dynamics and Numerical Simulations DOI Creative Commons
D. K. Almutairi, Dalal Almutairi, Nidal E. Taha

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(5), P. 277 - 277

Published: April 25, 2025

This study explores the variable-order fractional Nosé–Hoover system, investigating evolution of its chaotic and stable states under derivatives. Variable-order derivatives introduce greater complexity adaptability into a system’s dynamics. The main objective is to examine these effects through numerical simulations, showcasing how changes in order function influence behavior. behavior shown by phase space orbits time series for various variable orders α. We look at system acts using solutions simulations. different α show effects. findings emphasize role enhancing behavior, offering novel insights their impact on dynamical systems.

Language: Английский

Citations

0