SYNCHRONIZING CHAOS: EXPLORING ATTRACTIVE SETS IN A NOVEL 4D HYPERCHAOTIC LORENZ MODEL

Abdelwahab Zarour; Iqbal M. Batiha; Adel Ouannas; Merabti Nesrine Lamya; Imad Rezzoug

doi:10.62476/amma9234

SYNCHRONIZING CHAOS: EXPLORING ATTRACTIVE SETS IN A NOVEL 4D HYPERCHAOTIC LORENZ MODEL

Abdelwahab Zarour
, Iqbal M. Batiha
, Adel Ouannas
, Merabti Nesrine Lamya
, Imad Rezzoug

Nonlinear Dynamic Research Centre (NDRC)

Frères Mentouri Constantine 1 University
Al-Zaytoonah University of Jordan
University of Oum El Bouaghi

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

11 Scopus citations

Abstract

Due to the very complex algebraic structure of hyperchaotic models, it is often difficult to determine their limits. Using Lyapunov’s stability theory and optimization methods, we study the limits of a new 4D hyperchaotic Lorenz model. Based on the results obtained, we study complete chaotic synchronization. Finally, to demonstrate the effectiveness of the proposed chaotic synchronization scheme, some numerical simulations are provided.

Original language	English
Pages (from-to)	234-245
Number of pages	12
Journal	Advanced Mathematical Models and Applications
Volume	9
Issue number	2
DOIs	https://doi.org/10.62476/amma9234
State	Published - 2024

Keywords

Chaos synchronization
Lagrange multiplier method
Lyapunov stability
boundedness of solutions
hyperchaotic system

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10.62476/amma9234

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title = "SYNCHRONIZING CHAOS: EXPLORING ATTRACTIVE SETS IN A NOVEL 4D HYPERCHAOTIC LORENZ MODEL",

abstract = "Due to the very complex algebraic structure of hyperchaotic models, it is often difficult to determine their limits. Using Lyapunov{\textquoteright}s stability theory and optimization methods, we study the limits of a new 4D hyperchaotic Lorenz model. Based on the results obtained, we study complete chaotic synchronization. Finally, to demonstrate the effectiveness of the proposed chaotic synchronization scheme, some numerical simulations are provided.",

keywords = "Chaos synchronization, Lagrange multiplier method, Lyapunov stability, boundedness of solutions, hyperchaotic system",

author = "Abdelwahab Zarour and Batiha, \{Iqbal M.\} and Adel Ouannas and Lamya, \{Merabti Nesrine\} and Imad Rezzoug",

year = "2024",

doi = "10.62476/amma9234",

language = "English",

volume = "9",

pages = "234--245",

journal = "Advanced Mathematical Models and Applications",

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T1 - SYNCHRONIZING CHAOS

T2 - EXPLORING ATTRACTIVE SETS IN A NOVEL 4D HYPERCHAOTIC LORENZ MODEL

AU - Zarour, Abdelwahab

AU - Batiha, Iqbal M.

AU - Ouannas, Adel

AU - Lamya, Merabti Nesrine

AU - Rezzoug, Imad

PY - 2024

Y1 - 2024

N2 - Due to the very complex algebraic structure of hyperchaotic models, it is often difficult to determine their limits. Using Lyapunov’s stability theory and optimization methods, we study the limits of a new 4D hyperchaotic Lorenz model. Based on the results obtained, we study complete chaotic synchronization. Finally, to demonstrate the effectiveness of the proposed chaotic synchronization scheme, some numerical simulations are provided.

AB - Due to the very complex algebraic structure of hyperchaotic models, it is often difficult to determine their limits. Using Lyapunov’s stability theory and optimization methods, we study the limits of a new 4D hyperchaotic Lorenz model. Based on the results obtained, we study complete chaotic synchronization. Finally, to demonstrate the effectiveness of the proposed chaotic synchronization scheme, some numerical simulations are provided.

KW - Chaos synchronization

KW - Lagrange multiplier method

KW - Lyapunov stability

KW - boundedness of solutions

KW - hyperchaotic system

UR - https://www.scopus.com/pages/publications/85205005405

U2 - 10.62476/amma9234

DO - 10.62476/amma9234

M3 - Article

AN - SCOPUS:85205005405

SN - 2519-4445

VL - 9

SP - 234

EP - 245

JO - Advanced Mathematical Models and Applications

JF - Advanced Mathematical Models and Applications

IS - 2

ER -

SYNCHRONIZING CHAOS: EXPLORING ATTRACTIVE SETS IN A NOVEL 4D HYPERCHAOTIC LORENZ MODEL

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Keywords

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