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)

Producción científica: Contribución a una conferencia › Artículo

Resumen

© 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.

Idioma original	Inglés estadounidense
Páginas	595-600
Número de páginas	6
DOI	https://doi.org/10.1109/PHYCON.2003.1236900
Estado	Publicada - 1 ene. 2003
Evento	2003 International Conference Physics and Control, PhysCon 2003 - Proceedings - Duración: 1 ene. 2003 → …

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

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10.1109/PHYCON.2003.1236900

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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.",

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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.

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

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