Title :
The extended Poincare-Bendixson theorem
Author_Institution :
Dept. of Electr. Eng., Akron Univ., OH, USA
fDate :
6/1/1989 12:00:00 AM
Abstract :
An extension is presented of the classical Poincare-Bendixson theorem to a higher dimension. It is shown that this extension can be helpful in predicting when chaotic as well as other cycles exist. An example illustrates its use
Keywords :
chaos; limit cycles; stability; Poincare-Bendixson theorem; chaotic cycles; limit cycles; stability; Chaos; Circuit stability; Coupling circuits; Digital filters; Limit-cycles; Notice of Violation; Sufficient conditions;
Journal_Title :
Circuits and Systems, IEEE Transactions on
