A new three-dimensional chaotic flow with one stable equilibrium: Dynamical properties and complexity analysis

Abdul Jalil M. Khalaf; Tomasz Kapitaniak; Karthikeyan Rajagopal; Ahmed Alsaedi; Tasawar Hayat; Viet Thanh Pham

doi:10.1515/phys-2018-0037

A new three-dimensional chaotic flow with one stable equilibrium: Dynamical properties and complexity analysis

Abdul Jalil M. Khalaf
, Tomasz Kapitaniak
, Karthikeyan Rajagopal
, Ahmed Alsaedi
, Tasawar Hayat
, Viet Thanh Pham

University of Kufa
Lodz University of Technology
Defence University, College of Engineering
King Abdulaziz University
Quaid-I-Azam University
Ton Duc Thang University

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

8 Scopus citations

Abstract

This paper proposes a new three-dimensional chaotic flow with one stable equilibrium. Dynamical properties of this system are investigated. The system has a chaotic attractor coexisting with a stable equilibrium. Thus the chaotic attractor is hidden. Basin of attractions shows the tangle of different attractors. Also, some complexity measures of the system such as Lyapunov exponent and entropy will are analyzed. We show that the Kolmogorov-Sinai Entropy shows more accurate results in comparison with Shanon Entropy.

Original language	English
Pages (from-to)	260-265
Number of pages	6
Journal	Central European Journal of Physics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1515/phys-2018-0037
State	Published - 2018
Externally published	Yes

Keywords

Chaotic flow
basin of attraction
complexity
entropy
hidden attractor
stable equilibrium

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10.1515/phys-2018-0037

Cite this

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title = "A new three-dimensional chaotic flow with one stable equilibrium: Dynamical properties and complexity analysis",

abstract = "This paper proposes a new three-dimensional chaotic flow with one stable equilibrium. Dynamical properties of this system are investigated. The system has a chaotic attractor coexisting with a stable equilibrium. Thus the chaotic attractor is hidden. Basin of attractions shows the tangle of different attractors. Also, some complexity measures of the system such as Lyapunov exponent and entropy will are analyzed. We show that the Kolmogorov-Sinai Entropy shows more accurate results in comparison with Shanon Entropy.",

keywords = "Chaotic flow, basin of attraction, complexity, entropy, hidden attractor, stable equilibrium",

author = "Khalaf, \{Abdul Jalil M.\} and Tomasz Kapitaniak and Karthikeyan Rajagopal and Ahmed Alsaedi and Tasawar Hayat and Pham, \{Viet Thanh\}",

note = "Publisher Copyright: {\textcopyright} 2018 Abdul Jalil M. Khalaf et al. 2018.",

year = "2018",

doi = "10.1515/phys-2018-0037",

language = "English",

volume = "16",

pages = "260--265",

journal = "Central European Journal of Physics",

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T1 - A new three-dimensional chaotic flow with one stable equilibrium

T2 - Dynamical properties and complexity analysis

AU - Khalaf, Abdul Jalil M.

AU - Kapitaniak, Tomasz

AU - Rajagopal, Karthikeyan

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

AU - Pham, Viet Thanh

PY - 2018

Y1 - 2018

N2 - This paper proposes a new three-dimensional chaotic flow with one stable equilibrium. Dynamical properties of this system are investigated. The system has a chaotic attractor coexisting with a stable equilibrium. Thus the chaotic attractor is hidden. Basin of attractions shows the tangle of different attractors. Also, some complexity measures of the system such as Lyapunov exponent and entropy will are analyzed. We show that the Kolmogorov-Sinai Entropy shows more accurate results in comparison with Shanon Entropy.

AB - This paper proposes a new three-dimensional chaotic flow with one stable equilibrium. Dynamical properties of this system are investigated. The system has a chaotic attractor coexisting with a stable equilibrium. Thus the chaotic attractor is hidden. Basin of attractions shows the tangle of different attractors. Also, some complexity measures of the system such as Lyapunov exponent and entropy will are analyzed. We show that the Kolmogorov-Sinai Entropy shows more accurate results in comparison with Shanon Entropy.

KW - Chaotic flow

KW - basin of attraction

KW - complexity

KW - entropy

KW - hidden attractor

KW - stable equilibrium

UR - https://www.scopus.com/pages/publications/85047974440

U2 - 10.1515/phys-2018-0037

DO - 10.1515/phys-2018-0037

M3 - Article

AN - SCOPUS:85047974440

SN - 1895-1082

VL - 16

SP - 260

EP - 265

JO - Central European Journal of Physics

JF - Central European Journal of Physics

IS - 1

ER -

A new three-dimensional chaotic flow with one stable equilibrium: Dynamical properties and complexity analysis

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Keywords

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