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

Classification of fractional-order chaotic systems using deep learning methods DOI Creative Commons
Haris Çalgan, Abdullah Gokyildirim, Erdem İlten

et al.

The European Physical Journal Special Topics, Journal Year: 2025, Volume and Issue: unknown

Published: April 21, 2025

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