A New Imprisoned Strange Attractor

Fahimeh Nazarimehr; Viet Thanh Pham; Karthikeyan Rajagopal; Fawaz E. Alsaadi; Tasawar Hayat; Sajad Jafari

doi:10.1142/S0218127419501815

A New Imprisoned Strange Attractor

Fahimeh Nazarimehr
, Viet Thanh Pham
, Karthikeyan Rajagopal
, Fawaz E. Alsaadi
, Tasawar Hayat
, Sajad Jafari

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

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

9 Scopus citations

Abstract

This paper proposes a new chaotic system with a specific attractor which is bounded in a sphere. The system is offered in the spherical coordinate. Dynamical properties of the system are investigated in this paper. The system shows multistability, and all of its attractors are inside or on the surface of the specific sphere. Bifurcation diagram of the system displays an inverse period-doubling route to chaos. Lyapunov exponents of the system are studied to show its chaotic attractors and predict its bifurcation points.

Original language	English
Article number	1950181
Journal	International Journal of Bifurcation and Chaos
Volume	29
Issue number	13
DOIs	https://doi.org/10.1142/S0218127419501815
State	Published - 15 Dec 2019
Externally published	Yes

Keywords

Chaotic system
bifurcation
multistability
spherical coordinates

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10.1142/S0218127419501815

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title = "A New Imprisoned Strange Attractor",

abstract = "This paper proposes a new chaotic system with a specific attractor which is bounded in a sphere. The system is offered in the spherical coordinate. Dynamical properties of the system are investigated in this paper. The system shows multistability, and all of its attractors are inside or on the surface of the specific sphere. Bifurcation diagram of the system displays an inverse period-doubling route to chaos. Lyapunov exponents of the system are studied to show its chaotic attractors and predict its bifurcation points.",

keywords = "Chaotic system, bifurcation, multistability, spherical coordinates",

author = "Fahimeh Nazarimehr and Pham, \{Viet Thanh\} and Karthikeyan Rajagopal and Alsaadi, \{Fawaz E.\} and Tasawar Hayat and Sajad Jafari",

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AU - Nazarimehr, Fahimeh

AU - Pham, Viet Thanh

AU - Rajagopal, Karthikeyan

AU - Alsaadi, Fawaz E.

AU - Hayat, Tasawar

AU - Jafari, Sajad

PY - 2019/12/15

Y1 - 2019/12/15

N2 - This paper proposes a new chaotic system with a specific attractor which is bounded in a sphere. The system is offered in the spherical coordinate. Dynamical properties of the system are investigated in this paper. The system shows multistability, and all of its attractors are inside or on the surface of the specific sphere. Bifurcation diagram of the system displays an inverse period-doubling route to chaos. Lyapunov exponents of the system are studied to show its chaotic attractors and predict its bifurcation points.

AB - This paper proposes a new chaotic system with a specific attractor which is bounded in a sphere. The system is offered in the spherical coordinate. Dynamical properties of the system are investigated in this paper. The system shows multistability, and all of its attractors are inside or on the surface of the specific sphere. Bifurcation diagram of the system displays an inverse period-doubling route to chaos. Lyapunov exponents of the system are studied to show its chaotic attractors and predict its bifurcation points.

KW - Chaotic system

KW - bifurcation

KW - multistability

KW - spherical coordinates

UR - https://www.scopus.com/pages/publications/85076493935

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DO - 10.1142/S0218127419501815

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JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 13

M1 - 1950181

ER -

A New Imprisoned Strange Attractor

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Keywords

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