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Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity. / Leonov, G. A.; Kuznetsov, N. V.; Mokaev, T. N.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 28, No. 1-3, 01.11.2015, p. 166-174.

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

Harvard

Leonov, GA, Kuznetsov, NV & Mokaev, TN 2015, 'Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity', Communications in Nonlinear Science and Numerical Simulation, vol. 28, no. 1-3, pp. 166-174. https://doi.org/10.1016/j.cnsns.2015.04.007, https://doi.org/10.1016/j.cnsns.2015.04.007

APA

Leonov, G. A., Kuznetsov, N. V., & Mokaev, T. N. (2015). Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity. Communications in Nonlinear Science and Numerical Simulation, 28(1-3), 166-174. https://doi.org/10.1016/j.cnsns.2015.04.007, https://doi.org/10.1016/j.cnsns.2015.04.007

Vancouver

Leonov GA, Kuznetsov NV, Mokaev TN. Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity. Communications in Nonlinear Science and Numerical Simulation. 2015 Nov 1;28(1-3):166-174. https://doi.org/10.1016/j.cnsns.2015.04.007, https://doi.org/10.1016/j.cnsns.2015.04.007

Author

Leonov, G. A. ; Kuznetsov, N. V. ; Mokaev, T. N. / Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity. In: Communications in Nonlinear Science and Numerical Simulation. 2015 ; Vol. 28, No. 1-3. pp. 166-174.

BibTeX

@article{6eff869525b441ce84d5effc32d12200,
title = "Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity",
abstract = "In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is considered. It is shown numerically that this system, like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic self-excited attractor. However, for the considered system, unlike the classical Lorenz system, along with self-excited attractor a hidden attractor can be localized. Analytical-numerical localization of hidden attractor is demonstrated.",
keywords = "Coexistence of attractors, Hidden attractor, Homoclinic orbit, Lorenz-like system, Lyapunov dimension, Lyapunov exponent, Multistability, Self-excited attractor",
author = "Leonov, {G. A.} and Kuznetsov, {N. V.} and Mokaev, {T. N.}",
note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",
year = "2015",
month = nov,
day = "1",
doi = "10.1016/j.cnsns.2015.04.007",
language = "English",
volume = "28",
pages = "166--174",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",
number = "1-3",

}

RIS

TY - JOUR

T1 - Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

AU - Leonov, G. A.

AU - Kuznetsov, N. V.

AU - Mokaev, T. N.

N1 - Publisher Copyright: © 2015 Elsevier B.V.

PY - 2015/11/1

Y1 - 2015/11/1

N2 - In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is considered. It is shown numerically that this system, like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic self-excited attractor. However, for the considered system, unlike the classical Lorenz system, along with self-excited attractor a hidden attractor can be localized. Analytical-numerical localization of hidden attractor is demonstrated.

AB - In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is considered. It is shown numerically that this system, like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic self-excited attractor. However, for the considered system, unlike the classical Lorenz system, along with self-excited attractor a hidden attractor can be localized. Analytical-numerical localization of hidden attractor is demonstrated.

KW - Coexistence of attractors

KW - Hidden attractor

KW - Homoclinic orbit

KW - Lorenz-like system

KW - Lyapunov dimension

KW - Lyapunov exponent

KW - Multistability

KW - Self-excited attractor

UR - http://www.scopus.com/inward/record.url?scp=84929618582&partnerID=8YFLogxK

U2 - 10.1016/j.cnsns.2015.04.007

DO - 10.1016/j.cnsns.2015.04.007

M3 - Article

VL - 28

SP - 166

EP - 174

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

IS - 1-3

ER -

ID: 4005685