Localization/nonexistence conditions of periodic orbits of polynomial systems and its applications

K. E. Starkov

doi:10.1109/PHYCON.2003.1236900

Localization/nonexistence conditions of periodic orbits of polynomial systems and its applications

K. E. Starkov

Centro de Investigación y Desarrollo de Tecnología Digital (CITEDI)

Research output: Contribution to conference › Paper

Abstract

© 2003 IEEE. This paper contains localization/nonexistence conditions for periodic orbits of multidimensional polynomial systems. Our approach is based upon high order extremum conditions, high order tangency conditions of a nonsingular solution with an algebraic set in the state space and some ideas related to algebraic dependent polynomials. A few examples are examined including the the Rössler system, the mathematical model of the chemical reaction with auto-catalytic step and the May-Leonard system.

Original language	American English
Pages	595-600
Number of pages	6
DOIs	https://doi.org/10.1109/PHYCON.2003.1236900
State	Published - 1 Jan 2003
Event	2003 International Conference Physics and Control, PhysCon 2003 - Proceedings - Duration: 1 Jan 2003 → …

Conference

Conference	2003 International Conference Physics and Control, PhysCon 2003 - Proceedings
Period	1/01/03 → …

Access to Document

10.1109/PHYCON.2003.1236900

Cite this

@conference{9446bac930444509ab9eda92945d53d8,

title = "Localization/nonexistence conditions of periodic orbits of polynomial systems and its applications",

abstract = "{\textcopyright} 2003 IEEE. This paper contains localization/nonexistence conditions for periodic orbits of multidimensional polynomial systems. Our approach is based upon high order extremum conditions, high order tangency conditions of a nonsingular solution with an algebraic set in the state space and some ideas related to algebraic dependent polynomials. A few examples are examined including the the R{\"o}ssler system, the mathematical model of the chemical reaction with auto-catalytic step and the May-Leonard system.",

author = "Starkov, {K. E.}",

year = "2003",

month = jan,

day = "1",

doi = "10.1109/PHYCON.2003.1236900",

language = "American English",

pages = "595--600",

note = "2003 International Conference Physics and Control, PhysCon 2003 - Proceedings ; Conference date: 01-01-2003",

}

TY - CONF

T1 - Localization/nonexistence conditions of periodic orbits of polynomial systems and its applications

AU - Starkov, K. E.

PY - 2003/1/1

Y1 - 2003/1/1

N2 - © 2003 IEEE. This paper contains localization/nonexistence conditions for periodic orbits of multidimensional polynomial systems. Our approach is based upon high order extremum conditions, high order tangency conditions of a nonsingular solution with an algebraic set in the state space and some ideas related to algebraic dependent polynomials. A few examples are examined including the the Rössler system, the mathematical model of the chemical reaction with auto-catalytic step and the May-Leonard system.

AB - © 2003 IEEE. This paper contains localization/nonexistence conditions for periodic orbits of multidimensional polynomial systems. Our approach is based upon high order extremum conditions, high order tangency conditions of a nonsingular solution with an algebraic set in the state space and some ideas related to algebraic dependent polynomials. A few examples are examined including the the Rössler system, the mathematical model of the chemical reaction with auto-catalytic step and the May-Leonard system.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945391632&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84945391632&origin=inward

U2 - 10.1109/PHYCON.2003.1236900

DO - 10.1109/PHYCON.2003.1236900

M3 - Paper

SP - 595

EP - 600

T2 - 2003 International Conference Physics and Control, PhysCon 2003 - Proceedings

Y2 - 1 January 2003

ER -

Localization/nonexistence conditions of periodic orbits of polynomial systems and its applications

Abstract

Conference

Access to Document

Other files and links

Fingerprint

Cite this