Standard

Hidden attractors and multistability in a modified Chua's circuit. / Wang, Ning; Zhang, Guoshan; Kuznetsov, N. V.; Bao, Han.

в: Communications in Nonlinear Science and Numerical Simulation, Том 92, 105494, 01.2021.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Wang, N, Zhang, G, Kuznetsov, NV & Bao, H 2021, 'Hidden attractors and multistability in a modified Chua's circuit', Communications in Nonlinear Science and Numerical Simulation, Том. 92, 105494. https://doi.org/10.1016/j.cnsns.2020.105494

APA

Wang, N., Zhang, G., Kuznetsov, N. V., & Bao, H. (2021). Hidden attractors and multistability in a modified Chua's circuit. Communications in Nonlinear Science and Numerical Simulation, 92, [105494]. https://doi.org/10.1016/j.cnsns.2020.105494

Vancouver

Wang N, Zhang G, Kuznetsov NV, Bao H. Hidden attractors and multistability in a modified Chua's circuit. Communications in Nonlinear Science and Numerical Simulation. 2021 Янв.;92. 105494. https://doi.org/10.1016/j.cnsns.2020.105494

Author

Wang, Ning ; Zhang, Guoshan ; Kuznetsov, N. V. ; Bao, Han. / Hidden attractors and multistability in a modified Chua's circuit. в: Communications in Nonlinear Science and Numerical Simulation. 2021 ; Том 92.

BibTeX

@article{6a72def609c44e4e8a5c10ed77a17183,
title = "Hidden attractors and multistability in a modified Chua's circuit",
abstract = "The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua's system with a special Chua's diode. But designing such physical Chua's circuit is a challenging task due to the distinct slopes of Chua's diode. In this paper, a modified Chua's circuit is implemented using a 5-segment piecewise-linear Chua's diode. In particular, the coexisting phenomena of hidden attractors and three point attractors are noticed in the entire period-doubling bifurcation route. Attraction basins of different coexisting attractors are explored. It is demonstrated that the hidden attractors have very small basins of attraction not being connected with any fixed point. The PSIM circuit simulations and DSP-assisted experiments are presented to illustrate the existence of hidden attractors and coexisting attractors.",
keywords = "Attraction basin, Chaos, Chua's circuit, Chua's diode, Hidden attractor, Initial condition, Multistability, SYSTEM, BIFURCATION",
author = "Ning Wang and Guoshan Zhang and Kuznetsov, {N. V.} and Han Bao",
note = "Funding Information: This work was supported by the National Natural Science Foundation of China under Grant No. 61473202 , and the Russian Science Foundation 19-41-02002 (hidden attractors). Ning Wang (CSC No. 202006250146) would like to acknowledge the sponsor from China Scholarship Council. Publisher Copyright: {\textcopyright} 2020 Elsevier B.V. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2021",
month = jan,
doi = "10.1016/j.cnsns.2020.105494",
language = "English",
volume = "92",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Hidden attractors and multistability in a modified Chua's circuit

AU - Wang, Ning

AU - Zhang, Guoshan

AU - Kuznetsov, N. V.

AU - Bao, Han

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China under Grant No. 61473202 , and the Russian Science Foundation 19-41-02002 (hidden attractors). Ning Wang (CSC No. 202006250146) would like to acknowledge the sponsor from China Scholarship Council. Publisher Copyright: © 2020 Elsevier B.V. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2021/1

Y1 - 2021/1

N2 - The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua's system with a special Chua's diode. But designing such physical Chua's circuit is a challenging task due to the distinct slopes of Chua's diode. In this paper, a modified Chua's circuit is implemented using a 5-segment piecewise-linear Chua's diode. In particular, the coexisting phenomena of hidden attractors and three point attractors are noticed in the entire period-doubling bifurcation route. Attraction basins of different coexisting attractors are explored. It is demonstrated that the hidden attractors have very small basins of attraction not being connected with any fixed point. The PSIM circuit simulations and DSP-assisted experiments are presented to illustrate the existence of hidden attractors and coexisting attractors.

AB - The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua's system with a special Chua's diode. But designing such physical Chua's circuit is a challenging task due to the distinct slopes of Chua's diode. In this paper, a modified Chua's circuit is implemented using a 5-segment piecewise-linear Chua's diode. In particular, the coexisting phenomena of hidden attractors and three point attractors are noticed in the entire period-doubling bifurcation route. Attraction basins of different coexisting attractors are explored. It is demonstrated that the hidden attractors have very small basins of attraction not being connected with any fixed point. The PSIM circuit simulations and DSP-assisted experiments are presented to illustrate the existence of hidden attractors and coexisting attractors.

KW - Attraction basin

KW - Chaos

KW - Chua's circuit

KW - Chua's diode

KW - Hidden attractor

KW - Initial condition

KW - Multistability

KW - SYSTEM

KW - BIFURCATION

UR - http://www.scopus.com/inward/record.url?scp=85089747201&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/6fbd6b0f-6d49-3d0b-b168-4e600ded5da7/

U2 - 10.1016/j.cnsns.2020.105494

DO - 10.1016/j.cnsns.2020.105494

M3 - Article

AN - SCOPUS:85089747201

VL - 92

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 105494

ER -

ID: 71008601