A Complete Investigation of the Effect of External Force on a 3D Megastable Oscillator

Yongjian Liu; Abdul Jalil M. Khalaf; Tasawar Hayat; Ahmed Alsaedi; Viet Thanh Pham; Sajad Jafari

doi:10.1142/S0218127420500121

A Complete Investigation of the Effect of External Force on a 3D Megastable Oscillator

Yongjian Liu
, Abdul Jalil M. Khalaf
, Tasawar Hayat
, Ahmed Alsaedi
, Viet Thanh Pham
, Sajad Jafari

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

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

2 Scopus citations

Abstract

Multistability is an essential topic in nonlinear dynamics. Recently, two critical subsets of multistable systems have been introduced: systems with extreme multistability and systems with megastability. In this paper, based on a newly introduced megastable system, a megastable forced oscillator is introduced. The effect of adding a forcing term and its parameters on the dynamical behavior of the designed system is investigated. By the help of bifurcation diagram and Lyapunov exponents, it is shown that the modified oscillator can show a variety of dynamical solutions including limit cycle, torus, and strange attractor.

Original language	English
Article number	2050012
Journal	International Journal of Bifurcation and Chaos
Volume	30
Issue number	1
DOIs	https://doi.org/10.1142/S0218127420500121
State	Published - 1 Jan 2020
Externally published	Yes

Keywords

Megastability
bifurcation diagram
chaotic systems
circulant system

Access to Document

10.1142/S0218127420500121

Cite this

@article{10049781c8904935ad38dd78cafb91d1,

title = "A Complete Investigation of the Effect of External Force on a 3D Megastable Oscillator",

abstract = "Multistability is an essential topic in nonlinear dynamics. Recently, two critical subsets of multistable systems have been introduced: systems with extreme multistability and systems with megastability. In this paper, based on a newly introduced megastable system, a megastable forced oscillator is introduced. The effect of adding a forcing term and its parameters on the dynamical behavior of the designed system is investigated. By the help of bifurcation diagram and Lyapunov exponents, it is shown that the modified oscillator can show a variety of dynamical solutions including limit cycle, torus, and strange attractor.",

keywords = "Megastability, bifurcation diagram, chaotic systems, circulant system",

author = "Yongjian Liu and Khalaf, \{Abdul Jalil M.\} and Tasawar Hayat and Ahmed Alsaedi and Pham, \{Viet Thanh\} and Sajad Jafari",

note = "Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

month = jan,

day = "1",

doi = "10.1142/S0218127420500121",

language = "English",

volume = "30",

journal = "International Journal of Bifurcation and Chaos",

issn = "0218-1274",

publisher = "World Scientific",

number = "1",

}

TY - JOUR

T1 - A Complete Investigation of the Effect of External Force on a 3D Megastable Oscillator

AU - Liu, Yongjian

AU - Khalaf, Abdul Jalil M.

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

AU - Pham, Viet Thanh

AU - Jafari, Sajad

PY - 2020/1/1

Y1 - 2020/1/1

N2 - Multistability is an essential topic in nonlinear dynamics. Recently, two critical subsets of multistable systems have been introduced: systems with extreme multistability and systems with megastability. In this paper, based on a newly introduced megastable system, a megastable forced oscillator is introduced. The effect of adding a forcing term and its parameters on the dynamical behavior of the designed system is investigated. By the help of bifurcation diagram and Lyapunov exponents, it is shown that the modified oscillator can show a variety of dynamical solutions including limit cycle, torus, and strange attractor.

AB - Multistability is an essential topic in nonlinear dynamics. Recently, two critical subsets of multistable systems have been introduced: systems with extreme multistability and systems with megastability. In this paper, based on a newly introduced megastable system, a megastable forced oscillator is introduced. The effect of adding a forcing term and its parameters on the dynamical behavior of the designed system is investigated. By the help of bifurcation diagram and Lyapunov exponents, it is shown that the modified oscillator can show a variety of dynamical solutions including limit cycle, torus, and strange attractor.

KW - Megastability

KW - bifurcation diagram

KW - chaotic systems

KW - circulant system

UR - https://www.scopus.com/pages/publications/85079495562

U2 - 10.1142/S0218127420500121

DO - 10.1142/S0218127420500121

M3 - Article

AN - SCOPUS:85079495562

SN - 0218-1274

VL - 30

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 1

M1 - 2050012

ER -

A Complete Investigation of the Effect of External Force on a 3D Megastable Oscillator

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this