TY - JOUR
T1 - Localization of periodic orbits of autonomous systems based on high-order extremum conditions
AU - Starkov, Konstantin E.
PY - 2004/9/15
Y1 - 2004/9/15
N2 - This paper gives localization and nonexistence conditions of periodic orbits in some subsets of the state space. Mainly, our approach is based on high-order extremum conditions, on high-order tangency conditions of a nonsingular solution of a polynomial system with an algebraic surface, and on some ideas related to algebraically-dependent polynomials. Examples of the localization analysis of periodic orbits are presented including the Blasius equations, the generalized mass action (GMA) system, and the mathematical model of the chemical reaction with autocatalytic step.
AB - This paper gives localization and nonexistence conditions of periodic orbits in some subsets of the state space. Mainly, our approach is based on high-order extremum conditions, on high-order tangency conditions of a nonsingular solution of a polynomial system with an algebraic surface, and on some ideas related to algebraically-dependent polynomials. Examples of the localization analysis of periodic orbits are presented including the Blasius equations, the generalized mass action (GMA) system, and the mathematical model of the chemical reaction with autocatalytic step.
UR - http://www.scopus.com/inward/record.url?scp=10844272183&partnerID=8YFLogxK
U2 - 10.1155/S1024123X04311038
DO - 10.1155/S1024123X04311038
M3 - Artículo
AN - SCOPUS:10844272183
SN - 1024-123X
VL - 2004
SP - 277
EP - 290
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
IS - 3
ER -