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Numerical visualization of attractors : Self-exciting and hidden attractors. / Kuznetsov, N.V.; Leonov, G.A.

Handbook of Applications of Chaos Theory. Taylor & Francis, 2017. p. 135-143.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Kuznetsov, NV & Leonov, GA 2017, Numerical visualization of attractors: Self-exciting and hidden attractors. in Handbook of Applications of Chaos Theory. Taylor & Francis, pp. 135-143. https://doi.org/10.1201/b20232

APA

Kuznetsov, N. V., & Leonov, G. A. (2017). Numerical visualization of attractors: Self-exciting and hidden attractors. In Handbook of Applications of Chaos Theory (pp. 135-143). Taylor & Francis. https://doi.org/10.1201/b20232

Vancouver

Kuznetsov NV, Leonov GA. Numerical visualization of attractors: Self-exciting and hidden attractors. In Handbook of Applications of Chaos Theory. Taylor & Francis. 2017. p. 135-143 https://doi.org/10.1201/b20232

Author

Kuznetsov, N.V. ; Leonov, G.A. / Numerical visualization of attractors : Self-exciting and hidden attractors. Handbook of Applications of Chaos Theory. Taylor & Francis, 2017. pp. 135-143

BibTeX

@inbook{b1ccd1c14e6e43b1a9307bd2f28a9553,
title = "Numerical visualization of attractors: Self-exciting and hidden attractors",
abstract = "An oscillation in a dynamical system can be easily localized numerically if initial conditions from its open neighborhood in the phase space (with the exception of a minor set of points of measure zero) lead to longtime behavior that approaches the oscillation. From a computational point of view, such an oscillation (or a set of oscillations) is called an attractor and its attracting set is called a basin of attraction (i.e., a set of initial data for which the trajectories numerically tend to the attractor).",
author = "N.V. Kuznetsov and G.A. Leonov",
note = "Publisher Copyright: {\textcopyright} 2016 by Taylor & Francis Group, LLC.",
year = "2017",
month = jan,
day = "1",
doi = "10.1201/b20232",
language = "English",
isbn = "9781466590434",
pages = "135--143",
booktitle = "Handbook of Applications of Chaos Theory",
publisher = "Taylor & Francis",
address = "United Kingdom",

}

RIS

TY - CHAP

T1 - Numerical visualization of attractors

T2 - Self-exciting and hidden attractors

AU - Kuznetsov, N.V.

AU - Leonov, G.A.

N1 - Publisher Copyright: © 2016 by Taylor & Francis Group, LLC.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - An oscillation in a dynamical system can be easily localized numerically if initial conditions from its open neighborhood in the phase space (with the exception of a minor set of points of measure zero) lead to longtime behavior that approaches the oscillation. From a computational point of view, such an oscillation (or a set of oscillations) is called an attractor and its attracting set is called a basin of attraction (i.e., a set of initial data for which the trajectories numerically tend to the attractor).

AB - An oscillation in a dynamical system can be easily localized numerically if initial conditions from its open neighborhood in the phase space (with the exception of a minor set of points of measure zero) lead to longtime behavior that approaches the oscillation. From a computational point of view, such an oscillation (or a set of oscillations) is called an attractor and its attracting set is called a basin of attraction (i.e., a set of initial data for which the trajectories numerically tend to the attractor).

UR - http://www.scopus.com/inward/record.url?scp=85014099353&partnerID=8YFLogxK

U2 - 10.1201/b20232

DO - 10.1201/b20232

M3 - Chapter

SN - 9781466590434

SP - 135

EP - 143

BT - Handbook of Applications of Chaos Theory

PB - Taylor & Francis

ER -

ID: 7548088