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Localization of hidden Chuas attractors. / Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 375, No. 23, 06.06.2011, p. 2230-2233.

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

Harvard

Leonov, GA, Kuznetsov, NV & Vagaitsev, VI 2011, 'Localization of hidden Chuas attractors', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 375, no. 23, pp. 2230-2233. https://doi.org/10.1016/j.physleta.2011.04.037

APA

Leonov, G. A., Kuznetsov, N. V., & Vagaitsev, V. I. (2011). Localization of hidden Chuas attractors. Physics Letters, Section A: General, Atomic and Solid State Physics, 375(23), 2230-2233. https://doi.org/10.1016/j.physleta.2011.04.037

Vancouver

Leonov GA, Kuznetsov NV, Vagaitsev VI. Localization of hidden Chuas attractors. Physics Letters, Section A: General, Atomic and Solid State Physics. 2011 Jun 6;375(23):2230-2233. https://doi.org/10.1016/j.physleta.2011.04.037

Author

Leonov, G. A. ; Kuznetsov, N. V. ; Vagaitsev, V. I. / Localization of hidden Chuas attractors. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2011 ; Vol. 375, No. 23. pp. 2230-2233.

BibTeX

@article{4b5ccf00eb974275be4afa6b8a28d075,
title = "Localization of hidden Chuas attractors",
abstract = "The classical attractors of Lorenz, Rossler, Chua, Chen, and other widely-known attractors are those excited from unstable equilibria. From computational point of view this allows one to use numerical method, in which after transient process a trajectory, started from a point of unstable manifold in the neighborhood of equilibrium, reaches an attractor and identifies it. However there are attractors of another type: hidden attractors, a basin of attraction of which does not contain neighborhoods of equilibria. In the present Letter for localization of hidden attractors of Chuas circuit it is suggested to use a special analytical-numerical algorithm.",
keywords = "Attractor localization, Chuas circuit, Experimental study, Hidden attractor",
author = "Leonov, {G. A.} and Kuznetsov, {N. V.} and Vagaitsev, {V. I.}",
note = "Funding Information: This work was supported by the Academy of Finland , the Ministry of Education and Science (Russia) , and Saint-Petersburg State University .",
year = "2011",
month = jun,
day = "6",
doi = "10.1016/j.physleta.2011.04.037",
language = "English",
volume = "375",
pages = "2230--2233",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "23",

}

RIS

TY - JOUR

T1 - Localization of hidden Chuas attractors

AU - Leonov, G. A.

AU - Kuznetsov, N. V.

AU - Vagaitsev, V. I.

N1 - Funding Information: This work was supported by the Academy of Finland , the Ministry of Education and Science (Russia) , and Saint-Petersburg State University .

PY - 2011/6/6

Y1 - 2011/6/6

N2 - The classical attractors of Lorenz, Rossler, Chua, Chen, and other widely-known attractors are those excited from unstable equilibria. From computational point of view this allows one to use numerical method, in which after transient process a trajectory, started from a point of unstable manifold in the neighborhood of equilibrium, reaches an attractor and identifies it. However there are attractors of another type: hidden attractors, a basin of attraction of which does not contain neighborhoods of equilibria. In the present Letter for localization of hidden attractors of Chuas circuit it is suggested to use a special analytical-numerical algorithm.

AB - The classical attractors of Lorenz, Rossler, Chua, Chen, and other widely-known attractors are those excited from unstable equilibria. From computational point of view this allows one to use numerical method, in which after transient process a trajectory, started from a point of unstable manifold in the neighborhood of equilibrium, reaches an attractor and identifies it. However there are attractors of another type: hidden attractors, a basin of attraction of which does not contain neighborhoods of equilibria. In the present Letter for localization of hidden attractors of Chuas circuit it is suggested to use a special analytical-numerical algorithm.

KW - Attractor localization

KW - Chuas circuit

KW - Experimental study

KW - Hidden attractor

UR - http://www.scopus.com/inward/record.url?scp=79956081226&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2011.04.037

DO - 10.1016/j.physleta.2011.04.037

M3 - Article

AN - SCOPUS:79956081226

VL - 375

SP - 2230

EP - 2233

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 23

ER -

ID: 95271305