Optimal chaos control and discretization algorithms

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Optimal chaos control and discretization algorithms. / Kunin, I.; Chernykh, G.; Kunin, B.

In: International Journal of Engineering Science, Vol. 44, No. 1-2, 01.01.2006, p. 59-66.

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

Author

Kunin, I. ; Chernykh, G. ; Kunin, B. / Optimal chaos control and discretization algorithms. In: International Journal of Engineering Science. 2006 ; Vol. 44, No. 1-2. pp. 59-66.

BibTeX

@article{1dceca373af3468a93ba2af08679e3f4,

title = "Optimal chaos control and discretization algorithms",

abstract = "A new type of chaos control based on Optimal Discretization Algorithm (ODA) is described. The approach optimizes the complexity of a given dynamical system through variation of discretization parameters. In particular, a chaotic system can be transformed into a system with various numbers of discrete cycles. As the first step, applications of ODA are restricted to a special but instructive case of dynamical systems with a single chaotic attractor. The description of ODA is supplemented by a motivated introduction of its components with emphasis on those that are crucial for obtaining optimal and generalized results. The approach is illustrated in four examples of dynamical systems: Lorenz, Controlled Duffing, R{\"o}ssler, and Controlled Pendulum.",

keywords = "Chaos, Control, Discrete cycles",

author = "I. Kunin and G. Chernykh and B. Kunin",

year = "2006",

month = jan,

day = "1",

doi = "10.1016/j.ijengsci.2005.08.003",

language = "English",

volume = "44",

pages = "59--66",

journal = "International Journal of Engineering Science",

issn = "0020-7225",

publisher = "Elsevier",

number = "1-2",

}

RIS

TY - JOUR

T1 - Optimal chaos control and discretization algorithms

AU - Kunin, I.

AU - Chernykh, G.

AU - Kunin, B.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - A new type of chaos control based on Optimal Discretization Algorithm (ODA) is described. The approach optimizes the complexity of a given dynamical system through variation of discretization parameters. In particular, a chaotic system can be transformed into a system with various numbers of discrete cycles. As the first step, applications of ODA are restricted to a special but instructive case of dynamical systems with a single chaotic attractor. The description of ODA is supplemented by a motivated introduction of its components with emphasis on those that are crucial for obtaining optimal and generalized results. The approach is illustrated in four examples of dynamical systems: Lorenz, Controlled Duffing, Rössler, and Controlled Pendulum.

AB - A new type of chaos control based on Optimal Discretization Algorithm (ODA) is described. The approach optimizes the complexity of a given dynamical system through variation of discretization parameters. In particular, a chaotic system can be transformed into a system with various numbers of discrete cycles. As the first step, applications of ODA are restricted to a special but instructive case of dynamical systems with a single chaotic attractor. The description of ODA is supplemented by a motivated introduction of its components with emphasis on those that are crucial for obtaining optimal and generalized results. The approach is illustrated in four examples of dynamical systems: Lorenz, Controlled Duffing, Rössler, and Controlled Pendulum.

KW - Chaos

KW - Control

KW - Discrete cycles

UR - http://www.scopus.com/inward/record.url?scp=31744439589&partnerID=8YFLogxK

U2 - 10.1016/j.ijengsci.2005.08.003

DO - 10.1016/j.ijengsci.2005.08.003

M3 - Article

AN - SCOPUS:31744439589

VL - 44

SP - 59

EP - 66

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

SN - 0020-7225

IS - 1-2

ER -

ID: 48654139