Controlling degenerate Hopf bifurcations
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
|Journal / Publication||Latin American Applied Research|
|Publication status||Published - 1999|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-0001097520&origin=recordpage|
In this paper, a control problem for degenerate Hopf bifurcations is studied by means of modifying the amplitude and multiplicity of limit cycles via feedback from a graphical approach performed in the frequency domain. This approach uses diverse elements from the familiar Hopf bifurcation mechanism, degenerate Hopf bifurcation theory, and Poincaré normal forms to formulate an appropriate control law for obtaining small-amplitude limit cycles or for modifying the multiplicity of the periodic orbits. Two examples are described for illustration.
- Degenerate Hopf bifurcation, Hopf bifurcation, Nonlinear control