Title :
Localization/nonexistence conditions of periodic orbits of polynomial systems and its applications
Author :
Starkov, Kunstantin E.
Author_Institution :
CITEDI-IPN, Tijuana, Mexico
Abstract :
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 Rossler system, the mathematical model of the chemical reaction with auto-catalytic step and the May-Leonard system.
Keywords :
chemical reactions; matrix algebra; multidimensional systems; polynomials; set theory; state-space methods; May-Leonard system; Rossler system; algebraic set; automatic catalytic step; chemical reaction; high order extremum conditions; high order tangency conditions; localization conditions; multidimensional polynomial systems; nonexistence conditions; nonsingular solution; periodic orbits; state space; Chemicals; Computer aided instruction; Mathematical model; Multidimensional systems; Orbits; Polynomials; State-space methods;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236900
