A new memristive chaotic flow with a line of equilibria

Van Van Huynh; Abdul Jalil M. Khalaf; Ahmed Alsaedi; Tasawar Hayat; Hamid Reza Abdolmohammadi

doi:10.1140/epjst/e2019-900055-9

A new memristive chaotic flow with a line of equilibria

Van Van Huynh
, Abdul Jalil M. Khalaf
, Ahmed Alsaedi
, Tasawar Hayat
, Hamid Reza Abdolmohammadi

Ton Duc Thang University
Ministry of Higher Education and Scientific Research
King Abdulaziz University
Quaid-I-Azam University
Golpayegan University of Technology

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

10 Scopus citations

Abstract

A new 4-D memristive chaotic flow is proposed in this paper. Dynamical investigation of the proposed system shows some specific properties. The system has a line of equilibria which are unstable in some limited intervals and stable at other intervals. Investigating bifurcation diagram of the system shows an inverse period-doubling route to chaos. Also, different initiation in plotting bifurcation diagram shows its multistability. In some intervals of the parameter, two Lyapunov exponents of the system are positive, and the attractor is hyper-chaotic. However, in some other ranges of parameters, only one Lyapunov exponent is positive, and the attractor is chaotic. Basin of attraction of the system is studied which shows a vast region of attraction for the chaotic attractor. Entropy analysis of the system provides a viewpoint into the unpredictability of the system.

Original language	English
Pages (from-to)	2339-2349
Number of pages	11
Journal	European Physical Journal: Special Topics
Volume	228
Issue number	10
DOIs	https://doi.org/10.1140/epjst/e2019-900055-9
State	Published - 1 Oct 2019
Externally published	Yes

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Cite this

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title = "A new memristive chaotic flow with a line of equilibria",

abstract = "A new 4-D memristive chaotic flow is proposed in this paper. Dynamical investigation of the proposed system shows some specific properties. The system has a line of equilibria which are unstable in some limited intervals and stable at other intervals. Investigating bifurcation diagram of the system shows an inverse period-doubling route to chaos. Also, different initiation in plotting bifurcation diagram shows its multistability. In some intervals of the parameter, two Lyapunov exponents of the system are positive, and the attractor is hyper-chaotic. However, in some other ranges of parameters, only one Lyapunov exponent is positive, and the attractor is chaotic. Basin of attraction of the system is studied which shows a vast region of attraction for the chaotic attractor. Entropy analysis of the system provides a viewpoint into the unpredictability of the system.",

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AU - Van Huynh, Van

AU - Khalaf, Abdul Jalil M.

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

AU - Abdolmohammadi, Hamid Reza

PY - 2019/10/1

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N2 - A new 4-D memristive chaotic flow is proposed in this paper. Dynamical investigation of the proposed system shows some specific properties. The system has a line of equilibria which are unstable in some limited intervals and stable at other intervals. Investigating bifurcation diagram of the system shows an inverse period-doubling route to chaos. Also, different initiation in plotting bifurcation diagram shows its multistability. In some intervals of the parameter, two Lyapunov exponents of the system are positive, and the attractor is hyper-chaotic. However, in some other ranges of parameters, only one Lyapunov exponent is positive, and the attractor is chaotic. Basin of attraction of the system is studied which shows a vast region of attraction for the chaotic attractor. Entropy analysis of the system provides a viewpoint into the unpredictability of the system.

AB - A new 4-D memristive chaotic flow is proposed in this paper. Dynamical investigation of the proposed system shows some specific properties. The system has a line of equilibria which are unstable in some limited intervals and stable at other intervals. Investigating bifurcation diagram of the system shows an inverse period-doubling route to chaos. Also, different initiation in plotting bifurcation diagram shows its multistability. In some intervals of the parameter, two Lyapunov exponents of the system are positive, and the attractor is hyper-chaotic. However, in some other ranges of parameters, only one Lyapunov exponent is positive, and the attractor is chaotic. Basin of attraction of the system is studied which shows a vast region of attraction for the chaotic attractor. Entropy analysis of the system provides a viewpoint into the unpredictability of the system.

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A new memristive chaotic flow with a line of equilibria

Abstract

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