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 …

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 …

[HTML][HTML] An efficient and stable caputo-type inverse fractional parallel scheme for solving nonlinear equations

M Shams, B Carpentieri - Axioms, 2024 - mdpi.com
Nonlinear problems, which often arise in various scientific and engineering disciplines,
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 …

[HTML][HTML] A New High-Order Fractional Parallel Iterative Scheme for Solving Nonlinear Equations

M Shams, B Carpentieri - Symmetry, 2024 - mdpi.com
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 …

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 …

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 …

[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 …