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SOME COMPLEX DYNAMICAL BEHAVIORS OF THE NEW 6D FRACTIONAL-ORDER HYPERCHAOTIC LORENZ-LIKE SYSTEM. / Шерих, Ахмед Абделхамид Мохамед Ахмед; Farghaly, Ahmed A. M. .

In: Journal of the Egyptian Mathematical Society, Vol. 26, No. 1, 2018, p. 138-155.

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

Harvard

Шерих, ААМА & Farghaly, AAM 2018, 'SOME COMPLEX DYNAMICAL BEHAVIORS OF THE NEW 6D FRACTIONAL-ORDER HYPERCHAOTIC LORENZ-LIKE SYSTEM', Journal of the Egyptian Mathematical Society, vol. 26, no. 1, pp. 138-155. https://doi.org/10.21608/JOMES.2018.9469

APA

Шерих, А. А. М. А., & Farghaly, A. A. M. (2018). SOME COMPLEX DYNAMICAL BEHAVIORS OF THE NEW 6D FRACTIONAL-ORDER HYPERCHAOTIC LORENZ-LIKE SYSTEM. Journal of the Egyptian Mathematical Society, 26(1), 138-155. https://doi.org/10.21608/JOMES.2018.9469

Vancouver

Шерих ААМА, Farghaly AAM. SOME COMPLEX DYNAMICAL BEHAVIORS OF THE NEW 6D FRACTIONAL-ORDER HYPERCHAOTIC LORENZ-LIKE SYSTEM. Journal of the Egyptian Mathematical Society. 2018;26(1):138-155. https://doi.org/10.21608/JOMES.2018.9469

Author

Шерих, Ахмед Абделхамид Мохамед Ахмед ; Farghaly, Ahmed A. M. . / SOME COMPLEX DYNAMICAL BEHAVIORS OF THE NEW 6D FRACTIONAL-ORDER HYPERCHAOTIC LORENZ-LIKE SYSTEM. In: Journal of the Egyptian Mathematical Society. 2018 ; Vol. 26, No. 1. pp. 138-155.

BibTeX

@article{3512d3a7e6f942e687de06101a6440a0,
title = "SOME COMPLEX DYNAMICAL BEHAVIORS OF THE NEW 6D FRACTIONAL-ORDER HYPERCHAOTIC LORENZ-LIKE SYSTEM",
abstract = "In this paper, we introduce the fractional version of the new 6D hyperchaotic Lorenz-likesystem which has been introduced recently in the literature. Hyperchaotic behaviors of higherorder increase the randomness and higher unpredictability of the corresponding system. Somecomplex dynamical behaviors such as hyperchaotic of order 5, Poincare mapping and bifurcationdiagram are analyzed and investigated. The stability region of the new fractional-ordersystem is investigated. The values of the fractional-order and the system parameters at whichhyperchaotic attractors exist are calculated based on the sign of their Lyapunov exponents.The complete synchronization of the hyperchaotic attractors of order 5 is studied. A scheme isstated to derive the analytical formula of the control function to study this kind of synchronization.An excellent agreement is found upon comparison this analytical formula with numericalexperiments.",
keywords = "Fractional calculus, chaotic, hyperchaotic, bifurcation, synchronization",
author = "Шерих, {Ахмед Абделхамид Мохамед Ахмед} and Farghaly, {Ahmed A. M.}",
year = "2018",
doi = "10.21608/JOMES.2018.9469",
language = "English",
volume = "26",
pages = "138--155",
journal = "Journal of the Egyptian Mathematical Society",
issn = "1110-256X",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - SOME COMPLEX DYNAMICAL BEHAVIORS OF THE NEW 6D FRACTIONAL-ORDER HYPERCHAOTIC LORENZ-LIKE SYSTEM

AU - Шерих, Ахмед Абделхамид Мохамед Ахмед

AU - Farghaly, Ahmed A. M.

PY - 2018

Y1 - 2018

N2 - In this paper, we introduce the fractional version of the new 6D hyperchaotic Lorenz-likesystem which has been introduced recently in the literature. Hyperchaotic behaviors of higherorder increase the randomness and higher unpredictability of the corresponding system. Somecomplex dynamical behaviors such as hyperchaotic of order 5, Poincare mapping and bifurcationdiagram are analyzed and investigated. The stability region of the new fractional-ordersystem is investigated. The values of the fractional-order and the system parameters at whichhyperchaotic attractors exist are calculated based on the sign of their Lyapunov exponents.The complete synchronization of the hyperchaotic attractors of order 5 is studied. A scheme isstated to derive the analytical formula of the control function to study this kind of synchronization.An excellent agreement is found upon comparison this analytical formula with numericalexperiments.

AB - In this paper, we introduce the fractional version of the new 6D hyperchaotic Lorenz-likesystem which has been introduced recently in the literature. Hyperchaotic behaviors of higherorder increase the randomness and higher unpredictability of the corresponding system. Somecomplex dynamical behaviors such as hyperchaotic of order 5, Poincare mapping and bifurcationdiagram are analyzed and investigated. The stability region of the new fractional-ordersystem is investigated. The values of the fractional-order and the system parameters at whichhyperchaotic attractors exist are calculated based on the sign of their Lyapunov exponents.The complete synchronization of the hyperchaotic attractors of order 5 is studied. A scheme isstated to derive the analytical formula of the control function to study this kind of synchronization.An excellent agreement is found upon comparison this analytical formula with numericalexperiments.

KW - Fractional calculus

KW - chaotic

KW - hyperchaotic

KW - bifurcation

KW - synchronization

U2 - 10.21608/JOMES.2018.9469

DO - 10.21608/JOMES.2018.9469

M3 - Article

VL - 26

SP - 138

EP - 155

JO - Journal of the Egyptian Mathematical Society

JF - Journal of the Egyptian Mathematical Society

SN - 1110-256X

IS - 1

ER -

ID: 60394651