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Lorenz-type controlled pendulum. / Kunin, I.; Kunin, B.; Chernykh, G.

In: International Journal of Engineering Science, Vol. 41, No. 3-5, 01.03.2003, p. 433-448.

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

Harvard

Kunin, I, Kunin, B & Chernykh, G 2003, 'Lorenz-type controlled pendulum', International Journal of Engineering Science, vol. 41, no. 3-5, pp. 433-448. https://doi.org/10.1016/S0020-7225(02)00215-X

APA

Kunin, I., Kunin, B., & Chernykh, G. (2003). Lorenz-type controlled pendulum. International Journal of Engineering Science, 41(3-5), 433-448. https://doi.org/10.1016/S0020-7225(02)00215-X

Vancouver

Kunin I, Kunin B, Chernykh G. Lorenz-type controlled pendulum. International Journal of Engineering Science. 2003 Mar 1;41(3-5):433-448. https://doi.org/10.1016/S0020-7225(02)00215-X

Author

Kunin, I. ; Kunin, B. ; Chernykh, G. / Lorenz-type controlled pendulum. In: International Journal of Engineering Science. 2003 ; Vol. 41, No. 3-5. pp. 433-448.

BibTeX

@article{74ef24f4a85744fab92160455e60756b,
title = "Lorenz-type controlled pendulum",
abstract = "It is known that the popular Lorenz system admits an equivalent representation as a controlled Duffing system. It is also known that the Duffing system is an approximation to the simple pendulum. We introduce a new class of controlled pendulum systems that may also be interpreted as Pendulum-Lorenz systems. These systems contain the Lorenz system as an approximation and have a wide range of potential applications. Examples of chaotic attractors associated with a controlled pendulum system are presented.",
keywords = "Controlled pendulum, Observables, Pendulum-Lorenz, States",
author = "I. Kunin and B. Kunin and G. Chernykh",
year = "2003",
month = mar,
day = "1",
doi = "10.1016/S0020-7225(02)00215-X",
language = "English",
volume = "41",
pages = "433--448",
journal = "International Journal of Engineering Science",
issn = "0020-7225",
publisher = "Elsevier",
number = "3-5",

}

RIS

TY - JOUR

T1 - Lorenz-type controlled pendulum

AU - Kunin, I.

AU - Kunin, B.

AU - Chernykh, G.

PY - 2003/3/1

Y1 - 2003/3/1

N2 - It is known that the popular Lorenz system admits an equivalent representation as a controlled Duffing system. It is also known that the Duffing system is an approximation to the simple pendulum. We introduce a new class of controlled pendulum systems that may also be interpreted as Pendulum-Lorenz systems. These systems contain the Lorenz system as an approximation and have a wide range of potential applications. Examples of chaotic attractors associated with a controlled pendulum system are presented.

AB - It is known that the popular Lorenz system admits an equivalent representation as a controlled Duffing system. It is also known that the Duffing system is an approximation to the simple pendulum. We introduce a new class of controlled pendulum systems that may also be interpreted as Pendulum-Lorenz systems. These systems contain the Lorenz system as an approximation and have a wide range of potential applications. Examples of chaotic attractors associated with a controlled pendulum system are presented.

KW - Controlled pendulum

KW - Observables

KW - Pendulum-Lorenz

KW - States

UR - http://www.scopus.com/inward/record.url?scp=0037335464&partnerID=8YFLogxK

U2 - 10.1016/S0020-7225(02)00215-X

DO - 10.1016/S0020-7225(02)00215-X

M3 - Article

AN - SCOPUS:0037335464

VL - 41

SP - 433

EP - 448

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

SN - 0020-7225

IS - 3-5

ER -

ID: 48654865