Title :
Limit cycle behavior in three or higher dimensional nonlinear systems: the Oregonator example
Author :
Shahruz, Shahram M.
Author_Institution :
Berkeley Eng. Res. Inst., CA, USA
Abstract :
In this paper, a procedure is presented by which the existence of limit cycle behavior in three or higher dimensional nonlinear systems can be established. This procedure has two steps: 1) the boundedness of the system states is established; 2) all equilibrium points of the system are destabilized. These steps are applied to a three dimensional Oregonator to determine a set of parameters for which this system exhibits limit cycle behavior.
Keywords :
limit cycles; multidimensional systems; nonlinear systems; Oregonator example; equilibrium points; higher dimensional nonlinear systems; limit cycle behavior; system states boundedness; three dimensional nonlinear systems; Bifurcation; Chaos; Chemicals; Limit-cycles; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; State-space methods;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1185013
