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Boundary analysis and energy feedback control of fractional-order extended Malkus–Robbins dynamo system
YY Hou, MH Lin, H Saberi-Nik, Y Arya - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, the fractional-order extended Malkus-Robbins dynamo system (FOEMRD) is
introduced. Additionally, the stability, complexity diagrams, Lyapunov dimension, Lyapunov …
introduced. Additionally, the stability, complexity diagrams, Lyapunov dimension, Lyapunov …
Dynamic behavior of small system under the influence of parameters and application of image encryption
J Jie, P Zhang, Y Zhu, J Li, Y Yang - The European Physical Journal …, 2024 - epjplus.epj.org
This paper presents a method for constructing chaotic systems under parameter conditions
to investigate their impact on the dynamic behavior of small systems. The method allows for …
to investigate their impact on the dynamic behavior of small systems. The method allows for …
[HTML][HTML] An efficient and stable caputo-type inverse fractional parallel scheme for solving nonlinear equations
Nonlinear problems, which often arise in various scientific and engineering disciplines,
typically involve nonlinear equations or functions with multiple solutions. Analytical solutions …
typically involve nonlinear equations or functions with multiple solutions. Analytical solutions …
[HTML][HTML] The characteristics study of a bounded fractional-order chaotic system: Complexity, and energy control
Q Wu, J Zhang, M Li, H Saberi-Nik… - Alexandria Engineering …, 2025 - Elsevier
The dynamics of a four-dimensional fractional-order (FO) dynamical system from the
viewpoint of spectral entropy (SE), C 0 complexity, and algorithm 0–1 are presented in detail …
viewpoint of spectral entropy (SE), C 0 complexity, and algorithm 0–1 are presented in detail …
[HTML][HTML] A New High-Order Fractional Parallel Iterative Scheme for Solving Nonlinear Equations
Solving fractional-order nonlinear equations is crucial in engineering, where precision and
accuracy are essential. This study introduces a novel fractional parallel technique for solving …
accuracy are essential. This study introduces a novel fractional parallel technique for solving …
A novel fractional-order 3-D chaotic system and its application to secure communication based on chaos synchronization
S Iqbal, J Wang - Physica Scripta, 2025 - iopscience.iop.org
In this study, we introduce a new fractional-order chaotic system (FO-CS) that comprises six
terms, setting it apart from classical chaotic models such as the Lorenz, Chen, and Lü …
terms, setting it apart from classical chaotic models such as the Lorenz, Chen, and Lü …
Complex Dynamics of Novel Chaotic System with No Equilibrium Point: Amplitude Control and Offset Boosting Control, Its Adaptive Synchronization.
R Ramar, V Sandhiya, N Santhiya… - … & Systems Theory, 2024 - search.ebscohost.com
The article introduces a new chaotic system with dissipative nature and no equilibrium point,
investigating its complex dynamics and synchronization. Topics include the analysis of …
investigating its complex dynamics and synchronization. Topics include the analysis of …
[PDF][PDF] Feedback State Space Stabilization of Fractional-order Chaotic Lorenz-84 Atmosphere Model
NE Mellah, S Ladaci - researchgate.net
This paper explores the stabilization of the three-dimensional fractional-order (FO) chaotic
Lorenz-84 atmosphere model through control strategies. Employing the Grünwald-Letnikov …
Lorenz-84 atmosphere model through control strategies. Employing the Grünwald-Letnikov …