Oscillator without equilibrium and linear terms: Dynamics and application

Victor Kamdoum Tamba; Viet Thanh Pham; Ali A. Shukur; Giuseppe Grassi; Saher Momani

doi:10.1016/j.aej.2024.04.029

Oscillator without equilibrium and linear terms: Dynamics and application

Victor Kamdoum Tamba
, Viet Thanh Pham
, Ali A. Shukur
, Giuseppe Grassi
, Saher Momani

Nonlinear Dynamic Research Centre (NDRC)

Université de Dschang
Industrial University of Ho Chi Minh City
University of Kufa
University of Salento
University of Jordan

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A significant attention has concentrated on systems with “hidden attractors” in recent years. The aim of this work is to study an oscillator displaying “hidden attractors”. The oscillator has all nonlinear terms but no equilibrium. The oscillator exhibits attractive dynamics such as chaos, bubble bifurcation, symmetrical attractors, and boosting attractors. Oscillator's feasibility is verified by a microcontroller. Utilizing the oscillator for biomedical image encryption illustrates its application. In addition, the adaptive control is designed for the oscillator.

Original language	English
Pages (from-to)	376-384
Number of pages	9
Journal	Alexandria Engineering Journal
Volume	97
DOIs	https://doi.org/10.1016/j.aej.2024.04.029
State	Published - Jun 2024

Keywords

Chaotic system
Encryption
Equilibrium
Hidden attractor
Microcontroller

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10.1016/j.aej.2024.04.029

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title = "Oscillator without equilibrium and linear terms: Dynamics and application",

abstract = "A significant attention has concentrated on systems with “hidden attractors” in recent years. The aim of this work is to study an oscillator displaying “hidden attractors”. The oscillator has all nonlinear terms but no equilibrium. The oscillator exhibits attractive dynamics such as chaos, bubble bifurcation, symmetrical attractors, and boosting attractors. Oscillator's feasibility is verified by a microcontroller. Utilizing the oscillator for biomedical image encryption illustrates its application. In addition, the adaptive control is designed for the oscillator.",

keywords = "Chaotic system, Encryption, Equilibrium, Hidden attractor, Microcontroller",

author = "\{Kamdoum Tamba\}, Victor and Pham, \{Viet Thanh\} and Shukur, \{Ali A.\} and Giuseppe Grassi and Saher Momani",

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T1 - Oscillator without equilibrium and linear terms

T2 - Dynamics and application

AU - Kamdoum Tamba, Victor

AU - Pham, Viet Thanh

AU - Shukur, Ali A.

AU - Grassi, Giuseppe

AU - Momani, Saher

PY - 2024/6

Y1 - 2024/6

N2 - A significant attention has concentrated on systems with “hidden attractors” in recent years. The aim of this work is to study an oscillator displaying “hidden attractors”. The oscillator has all nonlinear terms but no equilibrium. The oscillator exhibits attractive dynamics such as chaos, bubble bifurcation, symmetrical attractors, and boosting attractors. Oscillator's feasibility is verified by a microcontroller. Utilizing the oscillator for biomedical image encryption illustrates its application. In addition, the adaptive control is designed for the oscillator.

AB - A significant attention has concentrated on systems with “hidden attractors” in recent years. The aim of this work is to study an oscillator displaying “hidden attractors”. The oscillator has all nonlinear terms but no equilibrium. The oscillator exhibits attractive dynamics such as chaos, bubble bifurcation, symmetrical attractors, and boosting attractors. Oscillator's feasibility is verified by a microcontroller. Utilizing the oscillator for biomedical image encryption illustrates its application. In addition, the adaptive control is designed for the oscillator.

KW - Chaotic system

KW - Encryption

KW - Equilibrium

KW - Hidden attractor

KW - Microcontroller

UR - https://www.scopus.com/pages/publications/85191657621

U2 - 10.1016/j.aej.2024.04.029

DO - 10.1016/j.aej.2024.04.029

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VL - 97

SP - 376

EP - 384

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

ER -

Oscillator without equilibrium and linear terms: Dynamics and application

Abstract

Keywords

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