Title :
An existence of inequality on a fine focus
Author :
Sáez, E. ; Szántó, I.
Author_Institution :
Dept. de Matematica, Univ. Tecnica Federico Santa Maria, Valparaiso, Chile
fDate :
5/1/1990 12:00:00 AM
Abstract :
It is shown that if in a polynomial vector field of degree n on the plane the critical point at the origin is a fine focus of order k, and if the Hopf bifurcation does not appear, then there exists an inequality between three consecutive derivatives of the Poincare maps
Keywords :
nonlinear systems; polynomials; Hopf bifurcation; Poincare maps; critical point; fine focus; inequality; polynomial vector field; Bifurcation; Circuit theory; Electrons; Frequency measurement; Impedance; Mirrors; Operational amplifiers; Passive filters; Polynomials; Voltage;
Journal_Title :
Circuits and Systems, IEEE Transactions on
