A nonlinear five-term system: Symmetry, chaos, and prediction

VP Thoai, MS Kahkeshi, VV Huynh, A Ouannas… - Symmetry, 2020 - mdpi.com
Chaotic systems have attracted considerable attention and been applied in various
applications. Investigating simple systems and counterexamples with chaotic behaviors is …

Robust adaptive synchronization of a class of uncertain chaotic systems with unknown time-delay

A Zare, SZ Mirrezapour, M Hallaji, A Shoeibi, M Jafari… - Applied Sciences, 2020 - mdpi.com
In this paper, a robust adaptive control strategy is proposed to synchronize a class of
uncertain chaotic systems with unknown time delays. Using Lyapunov theory and Lipschitz …

Design of synchronized large-scale chaos random number generators and its application to secure communication

TL Liao, PY Wan, JJ Yan - Applied Sciences, 2019 - mdpi.com
This paper is concerned with the design of synchronized large-scale chaos random number
generators (CRNGs) and its application to secure communication. In order to increase the …

Synchronization between fractional chaotic maps with different dimensions

A Ouannas, AA Khennaoui, IM Batiha, VT Pham - Fractional-Order Design, 2022 - Elsevier
Recently, numerous chaotic systems in the form of fractional difference equations have
received considerable attention. Based on the stability theory of linear fractional difference …

Nonlinear fractional discrete neural networks: stability, stabilization and synchronization

A Hioual, A Ouannas, TE Oussaeif - State estimation and stabilization of …, 2023 - Springer
Fractional-order discrete-time neural networks are a type of discrete system characterized by
non-integer order difference operators. Because the dynamics of these networks are …

Dual cascaded fractional-order chaotic synchronization for secure communication with analog circuit realisation

AA Velamore, A Hegde, AA Khan… - 2021 IEEE Second …, 2021 - ieeexplore.ieee.org
In this paper, we intend to have a practical application of chaos theory wherein we utilize the
concept of synchronization between chaotic systems in a secure communication context. We …

Weak signal detection method based on the coupled Lorenz system and its application in rolling bearing fault diagnosis

G Li, N Tan, X Li - Applied Sciences, 2020 - mdpi.com
Rolling bearings are widely used in rotating machinery. Their fault feature signals are often
submerged in strong noise and are difficult to identify. This paper presents a new method of …

A new synchronisation method of fractional-order chaotic systems with distinct orders and dimensions and its application in secure communication

V Vafaei, A Jodayree Akbarfam… - International Journal of …, 2021 - Taylor & Francis
In this paper, an adaptive generalised function projective synchronisation scheme of
fractional-order chaotic systems with different dimensions and orders and fully unknown …

Linear Methods for Stabilization and Synchronization h-Fractional Chaotic Maps

A Abbes, A Ouannas - State Estimation and Stabilization of Nonlinear …, 2023 - Springer
In this chapter, we investigate the stabilization and synchronization of different fractional
chaotic maps described by the Caputo h-difference operator using linear control laws. First …

Stability and Stabilisation of Nonlinear Incommensurate Fractional Order Difference Systems

N Djenina, A Ouannas - State Estimation and Stabilization of Nonlinear …, 2023 - Springer
Stability and Stabilisation of Nonlinear Incommensurate Fractional Order Difference Systems |
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